CHAPTER XXIII.

REFRACTING OPTICAL INSTRUMENTS.

I. _The Magic Lantern._

No other optical instrument has ever caused so much wonderment and

delight, from its origin to the present time, as this simple

contrivance. For a long time its true value was overlooked, and only

ridiculous or comic slides painted, but its educational importance is

now being thoroughly appreciated, not only on account of the size of the

diagrams that may be represented on the disc, but also from the fact

that the attention of an audience is better secured in a room when the

only object visible is the diagram under explanation. The lenses it

contains are a "bull's eye" or plano-convex, nearest the light, and a

double convex glass, for the purpose of focussing the picture which is

inverted and placed between the two lenses. (Fig. 293.)

[Illustration: Fig. 293. The magic lantern.]

In many books full directions are given for painting the glass slides,

but this is an art that requires very great practice and experience. A

person may know how to draw and paint on paper or canvas, but it is

quite a different thing where glass is concerned, and unless the

juvenile artist has taken lessons from a regular painter on glass, his

or her efforts are likely to be very unsatisfactory. In many popular

works embracing the subject of optics, full directions are given on the

mode of painting the slides for the magic lantern, or dissolving views;

a new era, however, has dawned upon this mode of illustration, in the

preparation of photographs on glass of the most lovely description, and

now instead of exhibiting mere daubs of weak colouring, photographic

pictures of singular perfection can be procured of Messrs. Negretti and

Zambra, Holborn, who have turned their attention especially to this

branch, and supply slides of all sizes.

II. _The Dissolving Views._

This very pleasing modification of the ordinary magic lantern is

displayed with the assistance of two lanterns of the same size, provided

with lamps and lenses which are exactly alike. They are best arranged

[Page 304] on one board, side by side, and if kept parallel with each

other, the circles of light thrown from the two lanterns would not

coincide on the screen; it is therefore necessary to place one of them

at an angle which will vary according to the distance from the screen.

The task of making the two circles of light overlap each other precisely

on the disc, is called centering the lanterns, and is the first thing

that must be attended to before exhibiting the slides. The slides for

the dissolving views are all painted of the same size, and supposing a

scene such as a church with a bridal procession and the trees in full

foliage, to represent summer, is first thrown on to the disc, it may be

changed to winter by putting another picture of the same subject, but

painted to represent bare trees, and the church and ground covered with

snow, and a grave open, with a funeral procession. The two pictures must

not be projected on the screen at the same time, and here the dissolving

mechanism is required; it consists of two fans so arranged that they may

be raised or lowered by a rack-work and handle; one fan in descending

covers one of the nozzles of the lanterns, and the other leaves the

second lantern open, and free to project the picture; the dissolving is

managed by slowly moving the handle of the rack-work, so that one

quarter of the picture already on the disc is cut off, and one quarter

of the new one thrown on. As the movement proceeds, one half of the old

picture is shut out, and one half of the new slide takes its place, and

so on, till the whole of the original picture is cut off by the fan and

the new one comes into view, and it is in this way the effect of the

change from summer to winter is produced. (Fig. 294.)

[Illustration: Fig. 294. Nozzle of one lantern, with the fan, A, raised,

and in the position to throw a picture on the disc. B. The other fan

shutting off the second lantern.]

When two pictures such as those already described, dissolve one into the

other, of course the same building or other marked portion of the

subject, must strictly coincide in each picture on the disc, or else the

two pictures are apparent, and the illusion is destroyed. The pictures

must all be centered before the exhibition commences. By the arrangement

of Mons. Duboscq, one electric light serves to illuminate both lanterns

by making use of mirrors. The dissolving apparatus is likewise very

[Page 305] simple, and consists of two diamond-shaped openings in a

brass frame, which open and shut alternately by a slide worked with a

handle. The single light is not to be recommended, as it is somewhat

troublesome to manage properly. (Fig. 295.)

[Illustration: Fig. 295. A. The electric light. B B. The two sets of

lenses for the two pictures. C. The dissolving mechanism. D. The picture

on screen.]

When dissolving views are required on a grand scale, the lenses must be

exceedingly large, and the condenser (corresponding with the

"bull's-eye" of the simple magic lantern) should be at least nine or

eleven inches in diameter, and the front glasses must be of a superior

make. The lenses for a large lantern lit by the oxy-hydrogen light, are

arranged as in the next cut. (Fig. 296.)

[Illustration: Fig. 296. A. The lime light. B. The condensers. C. The

picture. D D. The front lenses for focussing, with rack-work.]

At the Polytechnic the author had no less than six lanterns working at

or about the same time, to produce effects, in the views illustrating

the voyages of Sinbad the Sailor; and in order to obtain the increased

[Page 306] results required for dioramic effects, such for instance as

the Siege of Delhi, showing the bursting of the shells, &c., the four

fixed lanterns (the fronts of which are shown in the next cut) were

always employed. The two upper lanterns are dissolved by discs of brass

worked by the hand, and the lower ones with the fans. (Fig. 297.)

[Illustration: Fig. 297. Fronts of the four lanterns, showing how the

dissolving mechanism is arranged.]

"Behind the scenes" always has a great attraction for young people; we

have, therefore, in the frontispiece, with the help of Mr. Hine (who

painted a great number of the photographs shown at the Polytechnic

during the author's management), given a section of the large theatre

taken whilst the effective scene of the Siege of Delhi was in progress.

The optical effects were assisted by various sounds in imitation of

war's alarms, for the production of which, more _volunteers_ than were

required would occasionally trespass behind the screen, and produce

those terrific sounds that some persons of a nervous temperament said

were really stunning. In a page picture, we have also given a correct

drawing of the interior of the optical box at the Polytechnic, with the

four fixed lanterns, and side cupboards to hold the glass pictures. The

four lanterns worked on a railway, with wheels and a circular

turn-table; they could be removed, and the microscope arranged in their

places.

[Illustration: Before and behind the screen at the Polytechnic during

the exhibition of the dioramic effects of the siege of Delhi. _p. 306_]

[Page 307]

III. _The Oxy-Hydrogen Microscope._

Many persons will recollect the first exhibition of this instrument in

Bond-street, by Mr. J. T. Cooper, and Mr. Cary, succeeded by the

Adelaide Gallery exhibition of scientific wonders and an oxy-hydrogen

microscope. The apparatus for this purpose consists of three condensing

lenses and an object glass. The objects, such as live aquatic insects,

are placed in glass troughs containing water; the other objects, ferns,

feathers, butterflies, algæ, &c. &c., being mounted on slides in the

ordinary way with Canada balsam. (Fig. 298.)

[Illustration: Fig. 298. A. The lime light. C C C. Condensers. D. The

object, such as a tank of water containing live insects. E. The object

glasses.]

IV. _The Physioscope._

This instrument, brought out at the Polytechnic during the time that Mr.

J. F. Goddard managed the optical department of the institution, always

excited the greatest mirth and astonishment amongst the numerous

visitors; and _habitués_ of the old place may remember the good-natured

inimitable maudlin simper with which poor Mr. Tait (who was one of the

living objects shown on the disc) used to drink off the glass of wine

and then wink at the audience. When we say Mr. Tait used to wink, of

course it is understood that he was personally invisible, and his

apparition or image only appeared on the disc. The countenance is

brilliantly illuminated by the oxy-hydrogen light, and being placed near

the lenses, the rays are reflected from the face into the physioscope,

and being properly focused, and the inversion of the image corrected,

the perfect representation of the human countenance is apparent on the

disc. The lenses and concave reflectors required are shown in the

section of the physioscope. Messrs. Carpenter and Westley, of

Regent-street, have brought the manufacture of magic lanterns to great

perfection; and Mr. Collins, of the Polytechnic, constructs every kind

of dissolving view apparatus, oxy-hydrogen microscopes, physioscopes,

&c. (Fig. 299.) With this instrument any opaque objects (provided they

reflect light properly) may be displayed to a large audience. Plaster

casts appear with singular beauty and softness, whilst flowers, stuffed

birds, and especially humming birds, are excellent objects for the

physioscope.

[Page 308]

[Illustration: Fig. 299. A. One or more lime lights, throwing rays

reflected by concave mirrors on to the face B, from whence they are

reflected to C C, the first condensers. D D. Object glasses. This

instrument is made by Mr. Collins, who has the tools for making the

reflectors with correct curves. The picture of the face on the disc is

covered with black spots if the reflectors are not perfect.]

V. _The Camera Obscura._

A "dark chamber" is the name of a most amusing, and now, in the improved

form, extremely valuable instrument for photographic purposes. It is

occasionally to be met with in public gardens, and there is a very good

one on the Hoe at Plymouth. The construction of the camera for observing

the surrounding country is very simple, and merely consists of a flat

mirror placed at an angle, by which the picture is reflected through a

double-convex lens on to a white table beneath. (Fig. 300.)

[Illustration: Fig. 300. A. The mirror. B. The convex lens. C. The white

table.]

[Page 309]

The term "focusing," or the art of moving the lenses so that a sharp

image may be obtained, has been frequently mentioned in this article,

and perhaps it may be as well to describe the mode of ascertaining the

focal distance of a lens by experiment.

Hold the lens opposite the window so that a bright picture of the

window-sash may be obtained on a sheet of paper pinned against the wall,

and the distance of the lens from the paper will be the focal length.

If the lens has a very long focal length, it may be determined as

follows:--Measure the distance between the lens and the object, and also

from the image; multiply these distances together, and divide the

product by their sums; the quotient will give the focal distance.

VI. _The Decomposition of Light--"its Analysis and Synthesis."_

It is in the Italian language that the bride, the emblem of purity, is

called Lucia (_Lux_, light); and surely if an illustration were required

of beauty and singleness, light would be named poetically as

appropriate; but physically it is not of a single nature, it is

composite, and made up of seven colours. The instrument required to

refract a ray of light sufficiently to break it into its elementary

colours is called the prism, and is a solid having two plane surfaces,

called its refracting surfaces, with a base equally inclined to them.

(Fig. 301.)

[Illustration: Fig. 301. The prism. The base, A B, is equally inclined

to the refracting surfaces, C A, C B.]

It was in 1672 that Sir Isaac Newton made his celebrated analysis of

light, by receiving a sunbeam (as it passed through a hole in a shutter)

on to the refracting surface of a prism, and throwing the image or

spectrum on to a screen, where he observed the seven colours, red,

orange, yellow, green, blue, indigo, and violet, and thus proved "_that

there are different species of light, and that each species is disposed

both to suffer a different degree of refrangibility in passing out of

one medium into another, and to excite in us the idea of a different

colour from the rest; and that bodies appear of that colour which arises

from the composition of those colours the several species they reflect

are disposed to excite_."

Sir Isaac Newton's name would have been immortalized by this discovery

alone, even if he had not possessed that transcendent ability which

raised him above all other mathematicians and physicists. It is at the

same time interesting to know that the ancient author Claudian (A.D.

420) inquires "whether colour really belongs to the substances

themselves, or whether by the reflection of light they cheat the

eye--_enquires sitve color proprius rerum, lucisne repulsa eludant

aciem_."

Sir Isaac Newton determined that the spectrum could be divided into 360

equal parts, of which red occupied 45, orange 27, yellow 48, green 60,

blue 60, indigo 40, violet 80. He also discovered that if the highly

refracted rays, the seven colours, or spectrum were received into [Page

310] a concave mirror or a double-convex lens, that they again united

and formed white light. In order to demonstrate the properties of the

prism in various positions, the next diagram may be adduced. (Fig. 302.)

[Illustration: Fig. 302. A. The ray of light passing through two prisms

B placed base to base. In this position the light passes through to the

second prism, C, without alteration. At C the decomposition of light

occurs, and the spectrum is shown at D D. The top prism at B used singly

would reflect the ray to E without decomposing it into the coloured

rays.]

The rainbow is the most beautiful natural optical phenomenon with which

we are acquainted; it is only seen in rainy weather when the sun

illuminates the falling rain, and the spectator has the sun at his back.

There are frequently two bows seen, the interior and exterior bow, or

the primary and secondary, and even within the primary rainbow, and in

contact with it, and outside the secondary one, there have been seen

other bows beyond the number stated.

The primary or inner rainbow consists of seven different coloured bows,

and is usually the brightest, being formed by the rays of light falling

on the upper parts of the drops of rain. The exterior bow is formed by

the rays of light falling on the lower parts of the drops of rain; and

in both cases the rays of light undergo refraction and reflection, hence

the opinion of Aristotle, that the rainbow is caused only by the

reflection of light, is not correct.

The first refraction occurs when the rays of light enter, and the second

when they emerge from the spheroids of water in the first bow; the

refracted rays undergo only one reflection, whereas in the second the

brilliancy of the colours is impaired by two reflections.

The spectrum from the electric light is one of the most gorgeous

exhibitions of colour that can be conceived; and the instruments

required for the purpose are illustrated in No. 1 (Fig. 303), whilst

the [Page 311] synthesis of the coloured rays and production of white

light is shown at No. 2 of the same figure. (Fig. 303.)

[Illustration: Fig. 303. No. 1. A. The electric light. B. The narrow

slit through which the light passes to the convex lens, C. D. The prism.

E. The spectrum. No. 2 is the same for A B C D; but F is the convex lens

collecting the scattered rays, and forming white light at G.]

VII. _Duration of the Impression of Light._

If a circular disc is painted with the prismatic colours taken in the

same proportion with respect to each other in which they are exhibited

in the spectrum made by the prism, and the wheel is turned swiftly, then

the individual colours disappear, and nearly white light is apparent.

The cause is due to the same principle that creates the appearance of a

complete circle of fire when a burning squib is moved quickly round

before it is thrown away to burst, and as it is evident that the burning

squib cannot be in every part of the circle at the same moment, there

must be some inherent faculty belonging to the human eye which enables

it to retain for a definite period the impression of images that may

fall upon it; and this principle has been so far pressed, as it were,

beyond its limits, that it is gravely asserted the image of a man's

murderer "might be discovered on the retina of the eye-ball if that

could be examined sufficiently quick after death." The fixture of the

picture is said to be due to a sort of natural photographic process; but

such fanciful statements often lead the mind into dream-land only, and

so we will return to the fact of the duration of the impression of light

on the eye as evidenced by several ingenious optical instruments, and

especially by the scientific inventions of Dr. Faraday, Dr. Paris, and

of Mr. Thomas Rose of Glasgow.

By careful experiment M. D'Arcy found that the light of a live coal

moving at the distance of 165 feet, maintained its impression on the

[Page 312] retina during the seventh part of a second. Hence the cause

of the recomposition of white light when the colours on the disc are

quickly rotated. Each colour at any point succeeds the other before the

impression of the last is gone from the eye, and provided the colours

move round within the seventh part of a second, they are all impressed

together on the eye, and meeting on the retina, produce the effect of

white light.

VIII. _The Phenakistiscope._

This amusing instrument consists of a turning wheel upon which figures

appear to jump, walk, or dance. The disc or wheel is of cardboard, upon

which are painted (towards the periphery) figures in eight, ten, or

twelve postures. Thus, if it is desired to represent clowns turning

round in a circle, twelve different positions of the figure in the act

of turning are painted on the disc, and above each of the figures on the

wheel a slit is cut about one inch long, and a quarter of an inch wide

in a direction corresponding with the radii of the circle. This simple

form of the instrument is used by placing the figured side towards a

looking-glass and then causing it to revolve at a certain speed, which

is ascertained by experiment; and as the spectator looks through the

slits into the looking-glass, the clowns appear to turn round. At the

Polytechnic Institution there are two of these wheels with

looking-glasses, and although the same designs have done duty for many

years, they still attract the public attention. (Fig. 304.)

[Illustration: Fig. 304. Design for the phenakistiscope. The spectator

is supposed to be looking towards a mirror through the slits. It is

supported by a handle through the centre, round which it is twirled by

the other hand.]

In the "Journal of the Royal Institution" Mr. Faraday has described some

very interesting experiments and optical illusions produced by the

revolution of wheels in different directions and velocities. The wheels

are made of cardboard, and by cutting out two cog wheels of an equal

size, and placing one above the other on a pin, the usual hazy tint when

the cogs are acting is apparent when they are whirled round; but if the

two cog wheels are made to move in opposite directions, there will be

the extraordinary appearance of a fixed spectral wheel. If the cogs are

cut in a slanting direction on both wheels, the spectral wheel will

exhibit slanting cogs; but if one wheel is turned so that the cogs shall

point in opposite directions, then the spectral wheel will have straight

cogs. A number of such wheels set in motion in a darkened room, and

illuminated suddenly with the light from the electric spark, appear to

stand perfectly still, although moving with a great velocity. An

expensive instrument has been constructed by Duboscq, for the [Page

313] purpose of showing the usual phenakistiscope effects on the screen

with the magic lantern; a very limited picture, however, is shown, and

there is still great room for the improvement of the apparatus. (Fig.

305.)

[Illustration: Fig. 305. Phenakistiscope made by Duboscq, of Paris. No.

1. Apparatus in elevation with the condensers. No. 2. Section of the

apparatus. A. The light. B. Condenser, or plano-convex lens. C. Round

glass disc with design painted on it. D. Wooden disc with four

double-convex lenses placed at equal distances from each other, so as to

coincide with C, whilst rotating. Both the latter and C rotate, and the

picture is focussed on the disc by the lenses F. No. 3. Glass plate,

with device painted thereon.]

[Page 314]

IX. _The Thaumatrope._

This very simple toy was invented by the late Dr. Paris, who gave it an

appropriate name, compounded of the Greek words, [Greek: _thauma_],

wonder, [Greek: _trepô_], to turn. The duration of the impressions of

light on the eye is very apparent whilst using this toy, which is

usually made of a circular piece of cardboard, having on one side a

painting of a man's head, and on the other a hat; or a picture of a

lighted candle on one face of the cardboard, and an extinguisher on the

other; or a gate, and a horseman leaping it. Each pair of designs

painted on opposite sides of the cardboard appear to be one when twisted

round by strings tied to the opposite edges of the cardboard circle. The

_rationale_ of this experiment being, that the picture of one

design--such as the head and face--is retained by the eye until the hat

appears, and being mutually impressed upon the nerve of vision at very

nearly the same instant of time, they appear as one picture.

X. _The Kalotrope._

This is an optical arrangement by Mr. Thomas Rose, of Glasgow, primarily

designed for showing the illusions of the phenakistiscope and kindred

devices to a numerous audience; but more remarkable for its

presentations of very beautiful spectra, composed of the multiplication,

combination, and involution of simple figures disposed around a disc.

The arrangement consists of a movement for giving considerable velocity

to two concentric wheels, working nearly in contact, and moving in

contrary directions. But the only part of the apparatus that requires

special explanation and illustration is the device disc and the disc of

apertures; the first of which is placed on the hinder wheel, and the

second on the front wheel. We give figures of the two discs, premising,

however, that each is capable of an almost infinite variety of

characters. No. 1 (Fig. 306) presents in its four quadrants the

perforations for four distinct discs of apertures; and No. 2 is a device

disc, consisting of twelve equidistant black balls. Under _a_ the balls

will be presented as twenty-four ovals; under _b_, as forty-eight

involved figures, beautifully variegated; under _c_, as an elaborate

lacework; and under _d_, as a rich variegation of form and colour. Every

fresh disc of devices and disc of apertures of course opens up a new

field of effect. Thus, if we take a disc bearing twelve repeats of a

ball in the interior of a ring, each repeat being so painted that its

position is advanced in the ring until it reaches in the twelfth ring

the point whence it started, and place this on the back disc of the

kalotrope, having previously removed the first one, no effect is

observed when the wheel is rotated beyond the spreading out of the

design and general appearance of hazy black circles. When, however, the

disc, with twelve slits or apertures, is now placed on the front wheel,

and the two rotated in opposite directions, then the whole figure starts

as it were into existence, and each ball apparently moves round the

interior of its circle. [Page 315] The apparatus was produced at the

Royal Polytechnic Institution by the author, and excited much interest.

(Fig. 306.)

[Illustration: Fig. 306. Nos. 1 and 2 are the discs. No 3. Kalotrope in

elevation. No. 4. Side view of kalotrope, showing the multiplying wheels

and the perforated and painted discs moving in opposite directions.]

XI. _The Photodrome._

This is a second optical arrangement by Mr. Rose for showing spectral

illusions; and it is superior to the last, inasmuch as it offers to the

public lecturer a most effective means of presenting these deceptions to

a large audience. It differs from the kalotrope in several important

points. It dispenses with the discs of apertures, and leaves the device

disc with its face fully exposed to the spectators. The effects are

produced by a powerful light, thrown through the tube of a lantern, and

broken by a wheel working across it. The apparatus, as it at present

stands in the inventor's possession, consists of two distinct parts; the

one a movement for the device discs, and the other for the light. A

wheel four feet in diameter is connected with a train of movement

capable of giving it five hundred or six hundred revolutions per minute.

On this wheel the device disc is placed, in full view of the spectators,

and set in motion. From an opposite gallery the light is thrown, and

[Page 316] broken by a wheel of such diameter and number of apertures as

will admit the velocity of the _photodrome_ (or light-runner) to be at

least _six_ times the velocity of the device disc; whilst the apertures

are of such width as to restrict the duration of the light-flash to

about one-two-thousandth of a second. The wheel working across the light

has a train of movement for raising the velocity to two thousand

revolutions per second. The management of the apparatus is very simple.

The device-wheel is brought to a steady, rapid rotation, and the

operator on the light then works his wheel with gradually increasing

velocity, until he overtakes the figures of the device, where, by mere

delicacy of touch, he is able to hold them stationary or give them

motion, at pleasure.

Theories of light and colour still agitate the scientific world,

although that man must be bold who will assert that his hypothesis is

fitted to explain every difficult point that arises as our experimental

knowledge increases. Mr. G. J. Smith, of the Perth Academy, has

propounded a very ingenious theory of light and colour, supported by

some clever experiments. But, as Solomon says, "there is nothing _new_

under the sun," and in an able paper Mr. Rose, of Glasgow, lays claim to

the anticipations of Mr. Smith's theory as follows:--

"My attention has been directed to a paper entitled 'The Theory of

Light,' by G. John Smith, Esq., M.A., of Perth Academy. I think it is

now nearly two years since I communicated an interesting fact to

Professor Faraday, and to a member of our local Philosophical

Institution, which may fairly claim to have anticipated Mr. Smith's

theory. The fact was this: that if a piece of intensely white card be

held in one hand, with the light of a powerful gas-jet falling upon it,

and if the other hand has command of the gas-tap, as the light is

gradually reduced, the card will assume the prismatic colours down to

intense blue, and as the light is restored the colours will present

themselves in inverse order. The experiment showed, very conclusively to

my mind, that light is homogeneous, and that what we name colour is only

the various affection of the optic nerve by a greater or lesser

radiation of light from a focal point in an imperfect reflector--say, in

the instance, a white card. I apprehend that Mr. Smith confuses his

theory when he speaks of alternations of light and shadow producing

colour. Shadow, or darkness, is mere negation of light. We do not see

mixtures of light and darkness, or blackness and whiteness, but light in

its several degrees of intensity. Mr. Smith's experiments present only

what my kalotrope has done, and what my later device, the photodrome

(now nearly three years old) is doing in a much more perfect manner. It

is one of the mysteries intelligible only to the initiated, that whilst

Mr. Smith's paper seems to have been received with great favour by the

British Association, my communication relative to the photodrome was

voted 'not _sufficiently practical_.'

* * * * *

"Since I have come before the public with an experiment, which in any

view is an interesting one, permit me to reproduce it under several

distinct conditions, and to add a brief narrative of remarkable

presentations of colour that have come before me, and which, so far as I

am [Page 317] aware, are perfectly novel, or known only through the

more recent experiments of Mr. Smith. Professor Faraday very courteously

acknowledged my communication of the experiment with the card, but said

that it only partially succeeded with him, and added that probably this

was owing to some decay of sensitiveness in his eyes. More likely I

failed to state with sufficient clearness the conditions of the

experiment, since I have always found nine persons out of ten perfectly

agreed as to the effects produced when they have been at my side. The

transitions from white to yellow, orange, red, and thence to intense

blue, are, I may say, invariably admitted. Success depends on a very

slow and regular reduction and restoration of the light. I have given

one method of performing the experiment, and will add other two. Allow

the light to remain undisturbed, and begin by holding the card near to

it; then keep the hand steady and the eye intently fixed upon the card,

and retire gradually with your back to the light, and the colours will

change in the order of the prismatic spectrum from yellow to intense

blue. On returning backwards towards the light the colours will again

present themselves, but in inverse order. In this form of the experiment

we are certain that the light remains precisely the same throughout. The

third method is this: Place a circle of white card, about three inches

in diameter, in the centre of a black board, and let a spectator stand

within twelve inches of the board, with his eyes fixed upon the card.

Let an operator be provided with a light so covered that it shall not

fall on the eye of the spectator; then, as he retires with the light or

returns with it, the spectator will see the colours as before. This

arrangement evidently subjects the experiment to a severe test, since

the black board enhances the whiteness of the card, and tends to

preserve it.... Whilst pursuing my principal object, I frequently

noticed most remarkable presentations of colour; but, as the conditions

were for the most part unsuitable to the lecture-room, I gave them only

a passing regard. Allow me to instance a few of the experiments.

"The first refers to the kalotrope, which may be briefly described as an

arrangement of two concentric wheels, working nearly in contact and in

contrary directions. Discs of various devices are provided for the

hinder wheel, and a number of perforated black discs for the one in

front. When a disc charged with twelve _black_ radii is placed on the

hinder wheel, the six spokes of the front wheel, in passing rapidly

across it, convert the twelve black radii into twenty-four apparently

stationary _white_ radii upon a tinted ground. Here is a remarkable

presentation of the complementary, inasmuch as it is placed permanently

before the eye by persistence.

"The second experiment is performed with the photodrome, which consists

of an independent wheel to receive the device discs, and an apparatus

(altogether apart, and, if desired, out of sight) by which flashes of

light are thrown upon the disc in rapid and regular succession. Now, if

a disc charged with twelve dark blue balls, nearly in contact, be placed

upon the wheel, and a little natural light be allowed to fall [Page

318] upon it, so soon as it is thrown into rapid revolution, and flashes

of artificial light (insulated in a lantern) are duly measured out upon

it, we see twelve apparently stationary light-blue balls upon a zone of

bright orange. Here, again, there is nothing for which we are not

prepared; the complementary is suddenly presented, and it is maintained

permanently before the eye by persistence.

"A third experiment may prove interesting in its relation to Mr. Smith's

ingenious theory. Place the kalotrope opposite a bright northern noonday

sky, remove the front wheel, and affix to the hinder wheel one of the

perforated black discs used for the kalotropic effects. The

experimentalist stands at the back of the instrument, and can see the

sky only through the apertures in the black disc. Cause these apertures

to pass the eye at intervals varying from one-half to one-sixth of a

second, and very remarkable presentations of colour are seen. Under the

lower velocities the sky flashes, and assumes an unnatural brilliancy,

and the intervals of the fourth and fifth of a second give it sometimes

a crimson, at others a deep purple colour. Now, what are we to infer

from this experiment? Certainly _not_ that the pulsations have

absolutely produced variety of colour. At every pulsation the full

natural light falls upon the eye, and the intervals between the

pulsations give time for the reaction necessary to the suggestion of

complementary colour, and that under manifold modifications arising out

of the ever-changing condition of the eye during the experiment. If the

apertures pass the eye with a velocity exceeding one-sixth of a second,

the effect ceases. There is then perfect persistence, and the eye

apprehends nothing but the ordinary light of the sky, reduced in

intensity, with nothing to break its uniformity or give it a chromatic

character.

"A fourth experiment is kindred to the last. Place the kalotrope under

the same adjustment and management as before, in front of a brilliant

sunset, and the spectator will see, with more than a poet's vision,

'The rich hues of all glorious things.'"

XII. _The Kaleidoscopic Colour-top._

This invention by John Graham, of Tunbridge, is designed to show that

when white or coloured light is transmitted to the eye through small

openings cut into patterns or devices, and when such openings are made

to pass before the eye in rapid successive jerks, both form and colour

are retained upon the nerve of the visual organ sufficiently long to

produce a compound pattern, all the parts of which appear

simultaneously, although presented in succession. The instrument forms,

therefore, a pleasing illustration of the law that the eye requires an

almost inappreciably short space of time to receive an impression, and

that such impression is not directly effaced, but remains for an

assignable though very limited period. The results are obtained by

rotating two discs on a wheel, the lower disc containing colours, and

the upper one the [Page 319] openings; this latter disc is made to

vibrate as well as to rotate, thus allowing the eye to receive the

coloured light reflected from below, which light assumes, at the same

time, the forms of the patterns through which it has been transmitted.

The instrument serves also to illustrate most of the important phenomena

of colour.

XIII. _Simple Microscopes and Telescopes._

The Stanhope lenses are now sold at such a cheap rate, and are so useful

as simple portable microscopes, that it is hardly worth while to detail

any plan by which a cheap single-lens magnifier may be obtained.

Eloquent vendors of cheap microscopes are to be found in the streets,

who make their instrument of a pill-box perforated with a pin-hole, in

which a globule of glass fixed with Canada balsam is placed; and the

spherical form of the drop affords the magnifying power: or a thin

platinum wire may be bent into a small circular loop, and into this may

be placed a splinter of flint-glass; if the flame of a spirit-lamp is

urged upon the loop of platinum wire and glass by the blowpipe until it

melts, a small double-convex lens may be obtained, which will answer

very well as a magnifying-glass. Practice makes perfect, and after two

or three trials, a good single lens may be obtained, which can be

mounted between two small pieces of lead, brass, or cardboard, properly

fixed together, with holes through them just large enough to retain the

edge of the tiny lens. A prism can be made of two small pieces of

window-glass stuck together with a lump of soft beeswax, and if a few

drops of water are placed in the angle, they are retained by capillary

attraction. The prism is used by holding it against a large pin-hole or

small slit in a bit of card, and directing them towards the sky, when

the beautiful colours of the spectrum will be apparent if the card and

prism are brought close to the eye.

The most simple form of the refracting telescope is made with a lens of

any focal length exceeding six inches, placed at one end of a tin or

cardboard tube, which must be six inches longer than the focal length of

the lens; the tube may be in two parts, sliding one within the other,

and when the eye is placed at the other end, an inverted image of the

object looked at, is apparent. By using two double-convex lenses, a more

perfect simple astronomical telescope is obtained. The object-glass,

_i.e._, the lens next the object looked at, must be placed at the end of

a tin or pasteboard tube larger than its focus, and the second lens,

called the eye-glass, because next the eye, is a smaller tube, termed

the eye-tube; and if the focal length of the object-glass is three feet,

the eye-glass must have a one-inch focus, and of course the eye-tube and

glass must slide freely in the tube containing the object-glass. An

object-glass of forty feet focus will admit of an eye-glass of only a

four-inch focus, and will, therefore, magnify one hundred and twenty

times. A tube of forty feet in length would of course be very

troublesome to manage, and therefore it is usual to adopt the plan

originally devised by Huygens, viz., that of placing the object-glass in

a short tube on the [Page 320] top of a high pole with a

ball-and-socket joint, whilst the eye-glass is brought into the same

line as the object-glass, and focused with a tube and rack-work properly

supported. In an ordinary terrestrial telescope there are four lenses,

in order that the objects seen by its assistance shall not be inverted;

and whenever objects are examined by a common telescope, they are found

to be fringed, or surrounded with prismatic colours. This disagreeable

effect is corrected by the use of _achromatic_ lenses, in which two

kinds of glass are united; and the light decomposed by one glass,

uniting with the colours produced by the other form white light, thus a

double convex lens of crown glass, C C, may be united with a

plano-convex lens of flint glass, F F, which must have a focus about

double the length of that of the crown-glass lens. The concave lens

corrects the colour or chromatic aberration of the other, and leaves

about one-half of the refracting power of the convex lens as the

effective magnifying power of the compound lens. The French opticians

cement the lenses very neatly together, and use them in ordinary spy and

opera glasses. (Fig. 307.)

[Illustration: Fig. 307. A compound achromatic lens, composed of C C,

the double-convex lens of crown-glass, and F F, the plano-concave lens

of flint-glass.]

XIV. _The Stereoscope._

This instrument has now attained a popularity quite equal to, if it does

not surpass, that formerly enjoyed by the kaleidoscope, and without

entering upon the much-vexed question of priority of discovery, it is

sufficient again to mention with the highest respect the names of Sir

David Brewster and Professor Wheatstone as identified with the discovery

and use of this most pleasing optical instrument.

The principle of the stereoscope (meaning, _solid I see_) is copied from

nature: _i.e._, when both eyes are employed in the examination of an

object, two separate pictures, embracing dissimilar forms, are impressed

upon the retinæ, and produce the effect of solidity; if the pictures

formed at the back of the eyes could be examined by another person with

a stereoscope, they would come together, and also produce the effect of

solidity.

Stereoscopic pictures are obtained by exposing sensitized paper in the

camera to the picture of an object taken in two positions, or two

cameras are employed to obtain the same result. If the latter mode is

adopted, the stereoscopic pictures must not be taken from positions too

widely separated from each other; or else, when the two pictures are

placed in the stereoscope, they will stand out with a relief that is

quite unnatural, and the object will appear like a very reduced solid

model, instead of having the natural appearance presented by pictures

which have been taken at positions too distant from each other.

Sir David Brewster says, "In order to obtain photographic pictures

mathematically exact, we must construct a binocular camera which will

[Page 321] take the pictures simultaneously, and of the same size; that

is, by a camera with two lenses of the same aperture and focal length,

placed at the same distance as the two eyes. As it is impossible to

grind and polish two lenses, whether single or achromatic, of exactly

the same focal lengths, even if we had the very same glass for each, I

propose to bisect the lenses, and construct the instrument with

semi-lenses, which will give us pictures of precisely the same size and

definition. These lenses should be placed with their diameters of

bisection parallel to one another, and at a distance of 2½ inches,

_which is the average distance of the eyes in man_; and when fixed in a

box of sufficient size, will form a binocular camera, which will give us

at the same instant, with the same lights and shadows, and of the same

size, such dissimilar pictures of statues, buildings, landscapes, and

living objects, as will reproduce them in relief in the stereoscope."

Thus with a single camera provided with semi-lenses, or two lenses of

the same focal length, stereoscopic pictures can be obtained.

To bring the images of the two pictures together, and produce the effect

of solidity; either of two instruments may be employed. The reflecting

stereoscope is the invention of Professor Wheatstone. The refracting or

lenticular stereoscope that of Sir David Brewster.

The former is constructed by placing two upright boards on a wooden

stand at a moderate distance from each other; the stereoscopic pictures

are attached to these boards, which may be made to move up or down, and

if the pictures are held in grooves, they may be pulled right or left at

pleasure, and thus four movements are secured--viz., upward, downward,

right, or left. Between the two stereoscopic pictures are placed two

looking-glasses, so adjusted that their backs form an angle of ninety

degrees with each other. (Fig. 308.)

[Illustration: Fig. 308. Wheatstone's reflecting stereoscope.]

The pictures are illuminated at night by a lamp or gas flame placed at

the back of the mirrors, which, when fixed together, have the same shape

as a prism; indeed, Professor Wheatstone substituted a prism for the

mirrors, and thus paved the way for the invention of the lenticular

stereoscope.

[Page 322]

The stereoscopic effect is obtained by bringing the eyes close to the

inclined mirrors, so that the two reflected images coincide at the

intersection of the optic axis; the coincidence of the images is further

secured by moving either picture a little to the right or left, and if

the upright boards move bodily in grooves to or from the centre mirror,

the greatest nicety of adjustment is procured.

During the last three years of the author's directorship of the

Polytechnic--viz., in 1856, 1857, 1858--nearly the whole of the pictures

shown by the dissolving-view apparatus were coloured photographs from

Mr. Hine's original pictures, painted two feet square in blue and white,

and reduced on the glass to about six inches square. The collodion film

being frequently thick and difficult to penetrate with light, was etched

and scratched away where required, and filled in with colour, and when

these pictures were looked at with _one_ eye only, they appeared to be

almost solid or stereoscopic on the disc.

The lenticular stereoscope consists of a box of a pyramidal shape, open

at the base, and provided with grooves in which are placed the

stereoscopic pictures; if the latter are taken on glass the base of the

box is held directly against the light, but if they are daguerreotypes

or paper pictures, then a side light is reflected upon them by means of

a lid covered in the inside with tinfoil, which is raised or lowered at

pleasure from the top part of the box. Two semi-lenses are now fitted

into the narrow part of the box, and are placed at such a distance from

each other that the centres of the semi-lenses correspond with the pupil

of the eyes, and this distance has already been stated to amount to

2½ inches. (Fig. 309.)

[Illustration: Fig. 309. Brewster's lenticular stereoscope.]

The principle of the lenticular stereoscope is perhaps better seen by

reference to the next diagram, in which the centres of the semi-lenses

(_i.e._, a lens cut in half) are placed at 2½ inches apart, with

their _thin_ edges towards each other, and marked, A B, Fig. 310. The

centres of the two stereoscopic pictures C D correspond with the centres

of the lenses, and the rays of light _diverging_ from C D fall upon the

semi-lenses, and being refracted nearly _parallel_ are, by the prismatic

form of the semi-lenses, deflected from their course, and leave the

surfaces of the lenses in the same direction as if they actually

emanated from E; and as all images of bodies appear to come in a

straight line from the point whence they are seen, the two pictures are

superimposed on each other, and together produce the appearance of

solidity, so that a stereoscopic result is obtained when the _spectral

images_ of the two stereoscopic pictures are made to overlap each other.

By taking one of the semi-lenses in each hand, and looking at the two

pictures, the over-lapping [Page 323] of the _spectral images_ becomes very

apparent, so that the combined _spectral images_, and not the _pictures_

themselves, are seen when we look into a stereoscope. (Fig. 310.)

[Illustration: Fig. 310.]

Sir David Brewster says, "In order that the two images may coalesce

without any effort or strain on the part of the eye, it is necessary

that the distance of the similar parts of the two drawings be equal to

twice the separation produced by the prism. For this purpose measure the

distance at which the semi-lenses give the most distinct view of the

stereoscopic pictures, and having ascertained by using one eye the

amount of the refraction produced at that distance, or the quantity by

which the image of one of the pictures is displaced, place the

stereoscopic pictures at a distance equal to twice that quantity--that

is, place the pictures so that the average distance of similar parts in

each is equal to twice that quantity. If this is not correctly done, the

eye of the observer will correct the error by making the images

coalesce, without being sensible that it is making any such effort. When

the dissimilar stereoscopic pictures are thus united, the solid will

appear standing as it were in relief between the two plane

representations."

XV. _The Stereomonoscope._

M. Claudet, whose name has long been celebrated in connexion with the

art of photography, has described an instrument by which a single

picture is made to simulate the appearance of solidity, and he states

that by means of this arrangement a number of persons may observe the

effect at the same time. The apparatus required is very simple,

consisting of a large double convex lens, and a screen of ground glass.

The [Page 324] object A, Fig. 311, is highly illuminated, and placed in

the focus of a double convex lens B, when an image of the object is

projected, and will be found suspended in the air in the conjugate focus

of the lens at C, and from this point the rays of light will diverge as

from a real object, which will be seen by separate spectators at D D and

E E; and if the screen of ground glass is placed at G G, the image will

appear with all the effect of length, breadth, and depth, which belong

to solid bodies. (Fig. 311.)

[Illustration: Fig. 311. The stereomonoscope.]

An image formed on ground glass in this manner can be seen only in the

direction of the incident rays, and the stereoscopic effect is not

apparent when the image is received on a calico or transparent screen,

on account of the rays being scattered in all directions.

XVI. _The Stereomoscope._

[Illustration: Fig. 312. The stereomoscope.]

This arrangement is an important modification of the other, and consists

of a screen of ground glass (A B, Fig. 312), and two convex [Page 325]

lenses (C D, and E F) arranged in such a manner that they will project

images of the stereoscopic pictures, G H, at the same point on the

screen, A B.

It might be thought that a confusion of images would result from

projecting two pictures on one point, P--viz., the focus of the two

lenses; but as each photograph can be seen only in the direction of its

own rays, it follows that if the eyes are so placed that each receives

the impression of one stereoscopic picture, the two images must

coalesce, and a stereoscopic effect will be the result, as is apparent

at K K and L L; so that several persons may look at the stereoscope at

one time. (Fig. 312.)

XVII. _The Pseudoscope._

[Illustration: Fig. 313. Horizontal section of the pseudoscope, showing

at A B two prisms placed against a block of wood about two inches long

and one inch and a half wide, and cut out in the centre to admit the

nose at D. The eyes are supposed to be looking at the globe, C, in the

direction of the arrows. E E. Brass plates blackened, which shut out the

side light, and assist in keeping the prisms in position.]

This curious optical instrument, as its name implies, produces a false

image by the refracting power of prisms, and is the invention of

Professor Wheatstone. When used with both eyes, the same as the

stereoscope, it inverts the relief of a solid body, and makes it appear

exactly as if it were an intaglio, or sunk beneath the line surrounding

it. For instance, a terrestrial globe when looked at through the

pseudoscope appears to be concave, like Wyld's Globe in

Leicester-square, instead of convex. A vase with raised ornaments upon

it looks as if it had been turned (to reverse the usual expression)

outside in, and [Page 326] the whole of its convexity is turned to

concavity; and of course a face seen under these circumstances looks

very curious. (Fig. 313.) The cause is perhaps somewhat difficult to

understand; but by taking other and more simple examples of the same

effect, the principle may be gradually comprehended.

Sir David Brewster, in his "Letters on Natural Magic," remarks that "one

of the most curious phenomena is that _false_ perception in vision by

which we conceive depressions to be elevations, and elevations

depressions--or by which intaglios are converted into cameos, and cameos

into intaglios. This curious fact seems to have been observed at one of

the early meetings of the Royal Society of London, when one of the

members, in looking at a guinea through a compound microscope of new

construction, was surprised to see the head upon the coin depressed,

while other members could only see it embossed, as it really was.... The

best method of observing this deception is to view the engraved seal of

a watch with the eye-piece of an achromatic telescope, or with a

compound microscope, or any combination of lenses which inverts the

objects that are viewed through it; a single convex lens will answer the

purpose, provided we hold the eye six or eight inches behind the image

of the seal formed in its conjugate focus."

After bringing forward various interesting experiments in further

explanation of the cause, Sir D. Brewster states it to be his belief

that the illusion is the result of an operation of our own minds,

whereby we judge of the forms of bodies by the knowledge we have

acquired of light and shadow. Hence, the illusion depends on the

accuracy and extent of our knowledge on this subject; and while some

persons are under its influence, others are entirely insensible to it.

This statement is borne out by experience, as the author, whilst

Resident Director of the Polytechnic, had four of Wheatstone's

pseudoscopes placed in the gallery, with proper objects behind them; and

he frequently noticed that some visitors would look through the

instrument and see no alteration of the convex objects, whilst others

would shout with delight, and call their friends to witness the strange

metamorphosis, who in their turn might disappoint the caller by being

perfectly insensible to its strange effects.

The pseudo-effects of vision are not confined to the results already

explained, but are to be observed especially whilst travelling in a

coach, when the eyes may be so fixed as to give the impression of

movement to the trees and houses, whilst the coach appears to stand

still. In railway carriages, after riding for some time and then coming

to a stand still, if another train is set slowly in motion by the one at

rest, it frequently happens that the latter appears to be moving instead

of the former.

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