CHAPTER V.

CURIOSITIES OF VISION.

The function of the eye, regarded as an optical instrument, is limited to

the formation of luminous images upon the retina. From a purely physical

point of view it is a simple enough piece of apparatus, and, as was

forcibly pointed out by Helmholtz, it is subject to a number of defects

which can be demonstrated by the simplest tests, and which, if they

occurred in a shop-bought instrument, would be considered intolerable.

What takes place in the retina itself under luminous excitation, and how

the sensation of sight is produced, are questions which belong to the

sciences of physiology and psychology; and in the physiological and

psychological departments of the visual machinery we meet with an

additional host of objectionable peculiarities from which any

humanly-constructed apparatus is by the nature of the case free.

Yet in spite of all these drawbacks our eyes do us excellent service, and

provided that they are free from actual malformation and have not suffered

from injury or disease, we do not often find fault with them. This,

however, is not because they are as good as they might be, but because

with incessant practice we have acquired a very high degree of skill in

their use. If anything is more remarkable than the ease and certainty

with which we have learnt to interpret ocular indications, when they are

in some sort of conformity with external objects, it is the pertinacity

with which we refuse to be misled when our eyes are doing their best to

deceive us. In our earliest years we began to find out that we must not

believe all we saw; experience gradually taught us that on certain points

and under certain circumstances the indications of our organs of vision

were uniformly meaningless or fallacious, and we soon discovered that it

would save us trouble and add to the comfort of life if we cultivated a

habit of completely ignoring all such visual sensations as were of no

practical value. In this most of us have been remarkably successful; so

much so, that if, from motives of curiosity, or for the sake of

scientific experiment, we wish to direct our attention to the sensations

in question, and to see things as they actually appear, we can only do so

with the greatest difficulty; sometimes, indeed, not at all, unless with

the assistance of some specially contrived artifice.

In the present chapter it is proposed to discuss a few of the less

familiar vagaries of the visual organs, and to show how they may be

demonstrated. Some of the experiments may, it is to be feared, be found

rather difficult; success will depend mainly upon the experimentalist's

ability to lay aside habit and prejudice, and give close attention to his

visual sensations; but it is hardly to be expected that an unskilled

person will at the first attempt observe all the phenomena which will be

referred to.

Among the most annoying of the eccentricities which characterise the sense

of vision is that known as the persistence of impressions. The sensation

of sight which is produced by an illuminated object does not cease at the

moment when the exciting cause is removed or changed in position; it

continues for a period which is generally said to be about a tenth of a

second, but may sometimes be much more or less. It is for this reason that

we cannot see the details of anything which is in rapid motion, but only

an indistinct blur, resulting from the confusion of successive

impressions. If a cardboard disk, which is painted in conspicuous black

and white sectors is caused to rotate at a sufficiently high speed, the

divisions are completely lost sight of, and the whole surface appears to

be of a uniformly grey hue. But if the rapidly rotating disk is

illuminated by a properly timed series of electric flashes, it looks as if

it were at rest, and in spite of the intermittent nature of the light, the

black and white sectors can be seen quite continuously, though as a matter

of fact the intervals of darkness are very much longer than those of

illumination. Persistent impressions of this kind are often spoken of as

positive after-images.

There is a very remarkable phenomenon accompanying the formation of

positive after-images, especially those following brief illumination,

which seems, until comparatively recent times, to have entirely escaped

the notice of the most acute observers. It was first observed

accidentally by Professor C. A. Young, when he was experimenting with a

large electrical machine which had been newly acquired for his laboratory.

He noticed that when a powerful Leyden jar discharge took place in a

darkened room, any conspicuous object was seen twice at least, with an

interval of a trifle less than a quarter of a second, the first time

vividly, the second time faintly. Often it was seen a third time, and

sometimes, but only with great difficulty, even a fourth time. He gave to

this phenomenon the name of recurrent vision; it may perhaps be more

appropriately denominated the Young effect.

By means of the powerful machine presented to the Royal Institution by Mr.

Wimshurst, used in conjunction with a battery of Leyden jars, the Young

effect has been successfully shown to a large assembly. But it is quite

easy to demonstrate it on a small scale with any influence machine which

will give a spark about an inch long. One of the terminals of the machine

should be connected by a wire with the inner coating of a half-pint Leyden

jar, the other with the outer coating, and the discharging balls should be

set a quarter of an inch apart. The observer's eyes must be shielded from

the direct light of the spark by any convenient screen, such as a large

book set on end. The best object for the experiment is a sheet of white

paper, placed in an upright position a few inches away from the terminals

of the machine and exposed to the full light of the discharge.

The room being darkened, let the machine be worked slowly, while the eyes

are turned towards the white paper. This will be seen for a moment when

the spark passes, and, after a dark interval of about one-fifth of a

second, it will make another brief appearance. After a further short

interval of darkness, a second recurrent image will often be seen. It may

be remarked that the effect is most striking when the eyes are not

directed exactly upon the white paper, but above or on one side of it; the

proper distance of the paper from the spark-gap should be found by trial.

Under favourable conditions I have observed as many as six or seven

reappearances of an object which was illuminated by a single discharge.

These followed one another at the usual rate--about five in a second--and

produced a twinkling or quivering effect, closely resembling that

attending a flash of lightning which is not directly seen. There can

indeed be little doubt that the proverbial quiver of the lightning-flash

is in many cases merely an effect of recurrent vision, though sometimes,

of course, as has been shown by photographs, the discharge is really

multiple.

Some years ago I called attention to a very different method of exhibiting

a recurrent image. The apparatus used for the purpose consists of a vacuum

tube mounted in the usual way upon a horizontal axis capable of rotation.

When the tube is illuminated by a rapid succession of discharges from an

induction coil, and is made to rotate very slowly by clockwork (turning

once in every two or three seconds), a very curious phenomenon may be

noticed. At a distance of a few degrees behind the tube and separated from

it by an interval of perfect darkness, comes a ghost. This ghost is in

form an exact reproduction of the tube; it is very clearly defined, and

though its apparent luminosity is somewhat feeble, it can in most cases be

seen without difficulty. The varied colours of the original are, however,

absent, the whole of the phantom tube being of a uniform bluish or violet

tint. If the rotation is suddenly stopped the ghost still moves steadily

on until it reaches the luminous tube, with which it coalesces and so

disappears. (See Fig. 36, where the recurrent image is represented by

dotted lines.)

[Illustration: _Fig. 36.--Recurrent Vision demonstrated with a Vacuum

Tube._]

More recently a fresh series of experiments were undertaken in connection

with the Young effect and certain allied matters, the results being

embodied in a communication to the Royal Society (Proc. Roy. Soc., 1894,

vol. 56, p. 132). Among other things an attempt was made to ascertain how

far a recurrent image was affected by the colour of the exciting light.

With this object two methods of experimenting were employed. In the first,

coloured light was obtained by passing white light through coloured

glasses; in the second and more perfect series of experiments, the pure

coloured light of the spectrum was used. Among other results it was found

that, _cæteris paribus_, the recurrent image was much stronger with green

light than with any other, and that when the excitation was produced by

pure red light, however intense, there was no recurrent image at all.

[Illustration: _Fig. 37.--Recurrent Vision with Rotating Disk._]

For a repetition of my first experiment a mechanical lantern slide is

required containing a metal disk about three inches in diameter which can

be caused to rotate slowly and steadily about its centre. Near the edge of

the disk is a small circular aperture. The slide is placed in a limelight

lantern, and a bright image of the hole is focussed upon a distant screen,

all other light being carefully shut off. When the disk is turned slowly,

the spot of light upon the screen goes round and round, and it is

generally possible to see at once that the bright primary spot appears to

be followed at a short distance by a much feebler spot of a violet colour,

which is the recurrent image of the first. (See Fig. 37.) It is essential

to keep the direction of the eyes perfectly steady, which is not a very

easy thing to do without practice.

If a green glass is placed before the lens, the ghost will be at its best,

and should be seen quite clearly and easily, provided that no attempt is

made to follow it with the eyes. With an orange glass the ghost becomes

less distinctly visible, and its colour generally appears to be

greenish-blue, instead of violet as before. When a red glass is

substituted, the ghost completely disappears. If the speed of rotation is

sufficiently high, the red spot is considerably elongated during its

revolution, and its colour ceases to be uniform, the tail assuming a light

bluish-pink tint. But however great the speed, no complete separation of

the spot into red and pink portions can be effected, and no recurrent

image is ever found.

The spectrum method of observation can only be carried out on a small

scale, and is not suited for exhibition to an audience. It, however,

affords the best means of ascertaining how far the apparent colour of the

recurrent image depends upon that of the primary, a matter of some

theoretical interest.

[Illustration: _Fig. 38.--Recurrent Vision with Spectrum._]

The arrangement adopted is shown in the annexed diagram (Fig. 38). L is a

lantern containing an oxyhydrogen light or an electric arc lamp, S is an

adjustable slit, M a projection lens, P a bisulphide of carbon prism, D a

metal plate in the middle of which is a circular aperture 2 millimetres

(1/12 inch) in diameter. A bright spectrum, 6 or 7 centimetres in length

(about 3 inches), is projected upon this metal plate, and a small

selected portion of it passes through the round hole; thence the coloured

light goes through the lens N to the little mirror Q, which reflects it

upon the white screen R. By properly adjusting the position of the lens N

a sharp monochromatic image of the round hole in the plate D is focussed

upon the screen R. To the back of the mirror Q is attached a horizontal

arm which is not quite perpendicular to the mirror, its inclination being

capable of adjustment. The arm is turned slowly by clock-work, thus

causing the coloured spot on the screen to revolve in a circular orbit

about 30 centimetres (1 foot) in diameter, its recurrent image following

at a short distance behind it. When the mirror turns once in 1-1/2

seconds, this image appears about 50° behind the coloured spot, the

corresponding time-interval being about one-fifth of a second.

Using this apparatus, it was found that white light was followed by a

violet recurrent image; after blue and green, when the image was

brightest, its colour was also violet; after yellow and orange it appeared

blue or greenish blue. On the other hand, when a complete spectrum was

caused to revolve upon the screen, the whole of its recurrent image from

end to end appeared violet; there was no suspicion of blue or

greenish-blue at the less refrangible end. For this and other reasons

given in the paper it was concluded that the true colour was in all cases

really violet, the blue and greenish-blue apparently seen in conjunction

with the much brighter yellow and orange of the primary being merely an

illusory effect of contrast.

It seems likely, then, that the phenomenon which has been spoken of as

recurrent vision, is due principally, if not entirely, to an action of the

violet nerve-fibres.

Recurrent vision is, no doubt, generally most conspicuous after a very

brief period of retinal illumination, such as was employed in the

experiments which we have been discussing; this is evidently due to the

fact that the effect is most easily perceived when the sensibility of the

retina has not been impaired by fatigue. But by a little effort it may be

detected even after very prolonged illumination, and a practised observer

can hardly avoid noticing a short flash of bluish light which manifests

itself about a quarter of a second after the lights in a room have been

suddenly extinguished; the phenomenon forces itself upon my attention

almost every night when I turn off the electric lights. It need hardly be

pointed out that it represents only a transient phase of the well known

positive after-image, and it had even been observed in a vague and

uncertain sort of way long before the date of Professor Young's

experiment. Helmholtz, for example, mentions the case of a positive

after-image which seemed to disappear and then to brighten up again, but

he goes on to explain--erroneously, as it turns out--that the seeming

disappearance was illusory.

M. Charpentier, of Nancy, whose work in physiological optics is well

known, was the first to notice and record a remarkable phenomenon which,

in some form or other, must present itself many times daily to every

person who is not blind, but which until about seven years ago had been

absolutely and universally ignored. The law which is associated with

Charpentier's name is this:--When darkness is succeeded by light, the

stimulus which the retina at first receives, and which causes the

sensation of luminosity, is followed by a brief period of insensibility,

resulting in the sensation of momentary darkness. It appears that the dark

period begins about one sixtieth of a second after the light has first

been admitted to the eye, and lasts for about an equal time. The whole

alternation from light to darkness and back again to light is performed so

rapidly, that except under certain conditions, which, however, occur

frequently enough, it cannot be detected.

[Illustration: _Fig. 39.--Charpentier's Dark Band._]

The apparatus which Charpentier employed for demonstrating and measuring

the duration of this effect is very simple. It consists of a blackened

disk with a white sector, mounted upon an axis. When the disk is

illuminated by sunlight and turned rather slowly, the direction of the

gaze being fixed upon the centre, there appears upon the white sector,

close behind its leading edge, a narrow but quite conspicuous dark band.

(See Fig. 39.) The portion of the retina which at any moment is apparently

occupied by the dark band, is that upon which the light reflected by the

leading edge of the white sector impinged one sixtieth of a second

previously.

But no special apparatus is required to show the dark reaction. In Fig. 40

an attempt has been made to illustrate what any one may see if he simply

moves his hand between his eyes and the sky or any strongly illuminated

white surface. The hand appears to be followed by a dark outline separated

from it by a bright interval. The same kind of thing happens, in a more or

less marked degree, whenever a dark object moves across a bright

background, or a bright object across a dark background.

[Illustration: _Fig. 40.--Charpentier's Effect shown with the Hand._]

In order to see the effect distinctly by Charpentier's original method,

the illumination must be strong. If, howover, the arrangement is slightly

varied, so that transmitted instead of reflected light is made use of,

comparatively feeble illumination is sufficient. A very effective way is

to turn a small metal disk, having an open sector of about 60°, in front

of a sheet of ground or opal glass behind which is a lamp. By an

arrangement of this kind upon a larger scale, the effect may easily be

rendered visible to an audience. The eyes should not be allowed to follow

the disk in its rotation, but should be directed steadily upon the centre.

The acute and educated vision of Charpentier enabled him, even when

working with his black and white disk, to detect the existence, under

favourable conditions, of a second, and sometimes a third, band of greatly

diminished intensity, though he remarks that the observation is a very

difficult one. What is probably the same effect can, however, as pointed

out in my paper of 1894, be shown quite easily in a different manner. If

a disk with a narrow radial slit, about half a millimetre (1/50 inch)

wide, is caused to rotate at the rate of about one turn per second in

front of a bright background, such as a sheet of ground glass with a lamp

behind it, the moving slit assumes the appearance of a fan-shaped luminous

patch, the brightness of which diminishes with the distance from the

leading edge. And if the eyes are steadily fixed upon the centre of the

disk, it will be noticed that this bright image is streaked with a number

of dark radial bands, suggestive of the ribs or sticks of a fan. Near the

circumference as many as four or five such dark streaks can be

distinguished without difficulty; towards the centre they are less

conspicuous, owing to the overlapping of the successive images of the

slit. The effect is roughly indicated in Fig. 41.

[Illustration: _Fig. 41.--Multiple Dark Bands._]

The dark reaction known as the Charpentier effect occurs at the beginning

of a period of illumination. There is also a dark reaction of very short

duration at the end of a period of illumination. It should be explained

that, owing to what is called the proper light of the retina, ordinary

darkness does not appear absolutely black: even in a dark room on a dark

night with the eyes carefully covered, there is always some sensation of

luminosity which would be sufficient to show up a really black image if

one could be produced. Now the darkness which is experienced after the

extinction of a light is for a small fraction of a second more intense

than common darkness.

The first mention of this dark reaction perhaps occurs in an article

contributed to _Nature_ in 1885, in which it was stated that when the

current was cut off from an illuminated vacuum tube "the luminous image

was almost instantly replaced by a corresponding image which seemed to be

intensely black upon a less dark background," and which was estimated to

last from a-quarter to a-half second. "Abnormal darkness," it was added,

"follows as a reaction after luminosity."

[Illustration: _Fig. 42.--Temporary Insensitiveness of the Eye._]

In the Royal Society paper before referred to the point is further

discussed, and a method is described by which the stage of reaction may be

easily exhibited and its duration approximately measured. If a translucent

disk, made of stout drawing-paper and having an open sector, is caused to

rotate slowly in front of a luminous background, a narrow radial dark

band, like a streak of black paint, appears upon the paper very near the

edge which follows the open sector. From the space covered by this band

when the disk was rotating at a known speed, the duration of the dark

reaction was calculated to be about one-fiftieth of a second; my original

estimate was therefore an excessive one. The experiment is illustrated in

Fig. 42.

One more interesting point should be noticed in the train of visual

phenomena which attend a period of illumination. The sensation of

luminosity which is excited when light first strikes the eye is for about

a sixtieth of a second much more intense than it subsequently becomes.

This is shown by the fact, which is obvious enough when once attention has

been directed to it, that the bright band, which in the Charpentier disk

intervenes between the dark band and the leading edge of the white sector,

appears to be much more strongly illuminated than any other portion of the

sector.

The complete order of visual phenomena observed when the retina is exposed

to the action of light for a limited time may therefore be summed up as

follows:--

(1) Immediately upon the impact of the light there is experienced a

sensation of luminosity, the intensity of which increases for about

one-sixtieth of a second: more rapidly towards the end of that period

than at first.

(2) Then ensues a sudden re-action, lasting also for about

one-sixtieth of a second, in virtue of which the retina becomes

partially insensible to renewed or continued luminous impressions.

These two effects may be repeated in a diminished degree, as often as

three or four times.

(3) The stage of fluctuation is succeeded by a sensation of steady

luminosity, the intensity of which is, however, considerably below the

mean of that experienced during the first one-sixtieth of a second.

(4) After the external light has been shut off, a sensation of

diminishing luminosity continues for a short time, and is succeeded by

a brief interval of darkness.

(5) Then follows a sudden and clearly-defined sensation of what may be

called abnormal darkness--darker than common darkness--which lasts for

about one-sixtieth of a second, and is followed by another interval of

ordinary darkness.

(6) Finally, in about a fifth of a second after the extinction of the

external light, there occurs another transient impression of

luminosity, generally violet coloured, after which the uniformity of

the darkness remains undisturbed.

Fig. 43, which is copied from my paper, gives a rough diagrammatic

representation of the above described chain of sensations. No account is

here taken of the comparatively feeble after-images which succeed the

recurrent image, and may last for several seconds.

I propose now to say a few words about a curious phenomenon of vision

which a short time ago excited considerable interest.

[Illustration: _Fig. 43.--Visual Sensations attending a period of

Illumination._]

[Illustration: _Fig. 44.--Benham's Top._]

In the year 1895 Mr. C. E. Benham brought out a pretty little toy which he

called the Artificial Spectrum Top. It consists of a cardboard disk, one

half of which is painted black, while on the other half are drawn four

successive groups of curved black lines at different distances from the

centre, as shown in Fig. 44. When the disk rotates rather slowly, each

group of black lines generally appears to assume a different colour, the

nature of which depends upon the speed of the rotation and the intensity

and quality of the light. Under the best conditions the inner and outer

groups of lines become bright red and dark blue; at the same time the

intermediate groups also appear tinted, but the hues which they assume are

rather uncertain and difficult to specify. By far the most striking of the

colours exhibited by the top is the red, and next to that the blue; this

latter is, however, sometimes described as bluish-green.

Some experiments carried out by myself in 1896 (Proc. Roy. Soc., vol. 60,

p. 370) seem to indicate pretty clearly the cause of the remarkable bright

red colour, and also that of the blue. The more feeble tints of the two

intermediate groups of lines perhaps result from similar causes in a

modified form, but these have not yet been investigated.

In the red colour we have another striking example of an exceedingly

common phenomenon which is habitually disregarded; indeed I can find no

record of its ever having been noticed at all. The fact is that whenever a

bright image is suddenly formed upon the retina after a period of

comparative darkness, this image appears for a short time to be surrounded

by a narrow coloured border, the colour, under ordinary conditions of

illumination, being red. If the light is very strong, the transient border

is greenish-blue, but this colour, as will be explained later, turned out

to be merely an after-effect of red. Sometimes, when the object is in

motion, both red and blue are seen together.

The observations were first made in the following manner. A blackened zinc

plate, in which is a small round hole covered with a piece of thin

writing-paper, is fixed over a larger opening in a wooden board; thus we

are furnished with a sharply-defined translucent disk, which is surrounded

by a perfectly opaque substance. An arrangement is provided for covering

the translucent disk with a shutter, which can be opened very rapidly by

releasing a strong spring. If this apparatus is held between the eyes and

a lamp, and the translucent disk is suddenly disclosed by working the

shutter, the disk appears for a short time to be surrounded by a narrow

red border. The width of the border is perhaps a millimetre (1/25 inch),

and the appearance lasts for something like a tenth of a second. Most

people are at first quite unable to recognise this effect, the difficulty

being, not to see it, but to know that one sees it. Those who have been

accustomed to visual observations generally perceive it without any

difficulty when they know what to look for, and no doubt it would be very

evident to a baby which had not advanced very far in the education of its

eyes.

The observation is made rather less difficult by a further device. If the

disk is divided into two parts by an opaque strip across the middle, it is

clear that each half disk will have its red border, and if the strip is

made sufficiently narrow, the red borders along its edges will meet or

perhaps overlap, and the whole strip will, for a moment after the shutter

is opened, appear red. A disk was thus prepared by gumming across the

paper a very narrow strip of tinfoil. The effect produced when such a disk

is suddenly exposed is indicated in Fig. 45, the red colour being

represented by shading.

[Illustration: _Fig. 45.--Demonstration of Red Borders._]

A simpler apparatus is, however, quite sufficient for showing the

phenomenon,[12] and with practice one can even acquire the power of

seeing it without any artificial aid at all. I have many times noticed

flashes of red upon the black letters of a book that I was reading, or

upon the edges of the page: bright metallic, or polished objects often

show it when they pass across the field of vision in consequence of a

movement of the eyes, and it was an accidental observation of this kind

which suggested the following easy way of exhibiting the effect

experimentally.

An incandescent electric lamp was fixed behind a round hole in a sheet of

metal which was attached to a board. The hole was covered with two or

three thicknesses of writing paper, making a bright disk of nearly uniform

luminosity. When this arrangement was moved rather quickly either

backwards and forwards or round and round in a small circle, the edge of

the streak of light thus formed appeared to be bordered with red.

If this experiment is performed with a strong light behind the paper, the

streak becomes bordered with greenish-blue instead of red. With an

intermediate degree of illumination, both blue and red may be seen

together.

Most of the effects that have so far been described were produced by

transmitted light, but reflected light will show them equally well. If you

place a printed book in front of you near a good lamp and interpose a dark

screen before your eyes, then, when the screen is suddenly withdrawn, the

printed letters will for a moment appear red, quickly changing to black.

Some practice is required before this observation can be made

satisfactorily, but by a simple device it is possible to obliterate the

image of the letters before the redness has had time to disappear; the

colour then becomes quite easily perceptible.

Hold two screens together side by side, a black one and a white one, in

such a manner that an open space is left between them. (See Fig. 46.) In

the first place let the black screen cover the printing; then quickly move

the screens sideways so that the printed letters may be for a moment

exposed to view through the gap, stopping the movement as soon as the page

is covered by the white screen. During the brief glimpse that will be had

of the black letters while the gap is passing over them, they will, if

the illumination is suitable, appear to be bright red.

[Illustration: _Fig. 46.--Black and White Screens._]

[Illustration: _Fig. 47.--Disk for Red Borders._]

We may go a step further. Cut out a disk of white cardboard, divide it

into two equal parts by a straight line through the centre, and paint one

half black.[13] At the junction of the black and white portions cut out a

gap, which may conveniently be of the form of a sector of 45°. (See Fig.

47.) Stick a long pin through the centre and hold the arrangement by the

pointed end of the pin a few inches above a printed page near a good

light. Make the disk spin at the rate of about five or six turns a second

by striking the edge with the finger. As before, the letters when seen

through the gap will appear red, and persistence will render the repeated

impressions almost continuous so long as the rotation is kept up; any one

seeing the printing for the first time through the rotating disk would

believe that it was done with red ink. Care must be taken that the disk

does not cast a shadow upon the page, and that the intensity of the

illumination is properly adjusted. I have devised several rather more

elaborate contrivances for making the disks rotate at a uniform speed; one

of these is shown in Fig. 50.

In none of these experiments does an extended black surface ever appear

red, but only black dots or lines. And the lines must not be too thick; if

their thickness is much more than a millimetre (1/25 inch), the lines, as

seen by an observer from the usual distance for reading, do not become red

throughout, but only along their edges. The red appearance does not in

fact originate in the black lines themselves: these serve merely as a

background for showing up the red border which fringes externally the

white portions of the paper, and the width of this border does not exceed

about one-fifth of a degree. But by employing a sufficiently large disk

and selecting designs or letters composed of lines of suitable thickness,

the colour effect has been shown to a large audience.

When the disk is turned in the opposite direction, so that the gap is

preceded by white and followed by black, the lines of the design appear at

first sight to become dark blue instead of red. Attentive observation,

however, shows that the apparently blue tint is not formed upon the lines

themselves, as the red tint was, but upon the white ground just outside

them. This introduces to our notice another border phenomenon, which seems

to present itself when a dark patch is suddenly formed on a bright ground,

for that is essentially what takes place when the disk is turned the

reverse way. I made some attempts to obtain more direct evidence that such

a dark patch appeared for a moment to have a blue border, and after some

trouble succeeded in doing so.

A circular aperture was cut in a wooden board and covered with white

paper; a lamp was placed behind the board, and thus a bright disk was

obtained, as in the former experiment. An arrangement was prepared by

means of which one half of this bright disk could be suddenly covered by

a metal shutter, and it was found that when this was done a narrow blue

band appeared on the bright ground just beyond and adjoining the edge of

the shutter when it had come to rest. The blue band lasted for about a

tenth of a second, and it seemed to disappear by retreating into the black

edge of the shutter. The phenomenon is illustrated in Fig. 48, where the

shaded band indicates the blue border.

[Illustration: _Fig. 48.--Demonstration of Blue Border._]

We have then to account, if possible, for the two facts that, in the

formation of these transient colour-borders, the red sensation occurs in a

portion of the retina which has not itself been exposed to the direct

action of light, while the blue occurs in a portion which is steadily

illuminated, both colour sensations being referred to localities adjacent

to those in which a change of illumination has suddenly taken place.

Accepting the Young-Helmholtz theory of colour vision, the effects must, I

think, be attributed to a sympathetic affection of the red nerve fibres.

When the various nerve fibres occupying a limited portion of the retina

are suddenly stimulated by white light (or by any kind of light which

contains a red constituent) the immediately surrounding red nerve fibres

are for a short period excited sympathetically, while the violet and green

fibres are not so excited, or in a much less degree. And again, when light

is suddenly cut off from a patch in a bright field, there occurs a

sympathetic insensitive reaction in the red fibres just outside the

darkened patch, in virtue of which they cease for a moment to respond to

the luminous stimulus; the green and violet fibres, by continuing to

respond uninterruptedly, give rise to the sensation of a blue border.

It is perhaps desirable to refer briefly to another proposed explanation

of the phenomenon, which occurred to myself at an early stage of the

investigation, and has since been suggested by many different persons. The

explanation in question is of a purely physical character, and depends

upon the non-achromatism of the eye.

[Illustration: _Fig. 49.--Disk for experiments on the origin of

Colour-borders._]

Without going into details, it will suffice to quote a single experiment

which is of itself fatal to any such theory. Prepare a disk like that

shown in Fig. 49, and spin it above a page of printing. The letters

beneath the zone which is partly black and partly white will, under the

usual conditions, turn red, but those beneath the remainder of the disk

will retain their blackness. The demarcation is quite definite, and a

single printed word may be made to appear red in the middle and black at

its two ends. Now it is, of course, impossible that the lenses of the eye

should be perfectly accommodated for the letters which appear black, and

at the same time seriously out of focus for the others. This explanation,

therefore, simple and obvious as it may seem, is altogether untenable.

Whether or not the hypothesis which I have suggested is correct in all its

details, it is, I think, sufficiently obvious that the red and blue

colours of Benham's top are due to exactly the same causes as the colours

observed in my own experiments, for the essential conditions are the same

in both cases.

The last curiosity which I will notice is connected with the fact already

mentioned, that when the illumination is strong, the transient

border-colours are nearly reversed, greenish-blue appearing in place of

red, and brick-red in place of blue.

I was for a long time quite unable to imagine any reasonably probable

explanation of this circumstance, but a clue was finally obtained from

consideration of the fact that greenish-blue is the complementary colour

to red, and in a subsequent memoir (Proc. Roy. Soc., vol. 61, p. 269) some

experiments were described which show, as I believe conclusively, that the

greenish-blue borders seen in a strong light are simply negative

after-images of the usual red one.

These negative after-images are of the familiar kind that are observed

after one has gazed for some time at a bright coloured object. If a red

"wafer" lying upon a sheet of white or grey paper is looked at steadily

for about half a minute, and the gaze is then suddenly transferred to some

other part of the paper, a greenish-blue ghost of the wafer will be seen.

The portion of the retina upon which the red image at first falls becomes

fatigued and partially insensible to red light; it is therefore unable to

appreciate the red component of the white light afterwards reflected to it

by the paper, and the sensation of the complementary colour consequently

predominates; hence the greenish-blue ghost, which is called the negative

after-image of the wafer.

The new experiments show that, if a certain condition is fulfilled, the

usual prolonged stare becomes unnecessary, a momentary glance sufficing to

produce a strong but fugitive after-image. The condition is that the part

of the retina where the image is to be formed, shall have been darkened

immediately before excitation by the bright object. The retinal nerves,

when in darkness, rapidly acquire a state of sensitiveness far exceeding

the normal average in the light, but quickly diminishing again under the

influence of illumination. This peculiar sensitiveness may, indeed, be

both gained and lost in a small fraction of a second, and is therefore

very favourable for the rapid generation of negative after-images.

Once more making use of the black and white screens depicted in Fig. 46,

let the black screen first cover the paper upon which the wafer is lying;

this will darken a portion of the retina, and render it sensitive. Then

let the screens be quickly moved sideways, so that the wafer, after having

been seen for a moment through the opening, may be immediately covered by

the white screen. A bright but evanescent greenish-blue ghost will succeed

the red impression.

But the most curious thing is that if the illumination is strong, and the

screens are moved at the proper speed, no trace of red will be seen at

all; it will appear exactly as if the actual colour of the wafer seen

through the gap were greenish-blue. I am informed that analogous phenomena

have been observed in other branches of physiology; a well-defined

reaction sometimes occurs when no direct evidence can be detected of the

existence of the excitation to which the reaction must be due.

As in the former experiments, the effect may be shown continuously by

means of a rotating disk with an open sector. The annexed diagram (Fig.

50) indicates a convenient apparatus for the purpose. The disk is made of

thin metal, and properly balanced; the dark portion of the surface is

covered with black velvet, and the light portion with unglazed grey or

buff paper. It should turn some six or eight times in a second, while its

front is well illuminated either by bright diffused daylight or by a

powerful lamp. A red card placed behind the rotating disk is made to

appear green, a green card pink, and a blue one yellow, while a black

patch painted upon a white ground appears lighter than the ground itself.

I have prepared some designs which demonstrate the phenomenon in a very

striking manner. One of these is a picture of a lady with indigo-blue

hair, an emerald-green face, and a scarlet gown, who is represented as

admiring a violet sunflower with purple leaves. Seen through the disk, the

lady's tresses appear flaxen, her complexion a delicate pink, and her

dress a light peacock-blue; the petals of the sunflower also become

yellow, and its foliage green. Other designs show equally remarkable

transformations of colour.

[Illustration: _Fig. 50.--Disk for transforming Colours._]

I have mentioned only a few among many curious phenomena which have

presented themselves in the course of these investigations. It is not

improbable that a careful study of the subjective effects produced by

intermittent illumination would lead to results tending to clear up

several doubtful points in the theory of colour vision.

William Byles & Sons, Printers, 129, Fleet Street, London, and Bradford.

FOOTNOTES:

[1] It should be clearly understood that the length of each wave of a

series is measured by the distance between the crests of two successive

waves. The length of water-waves which break upon a sea shore is not the

length along the crest of a single wave measured in a direction parallel

to the shore, as the uninitiated are apt to suppose. The true wave-length,

or distance from crest to crest of successive waves, can be well observed

from the top of a cliff.

[2] In practice, wave-lengths are expressed in ten-millionths of a

millimetre. The wave-lengths of the lines A and H of the solar spectrum,

which approximately coincide with the limits of visibility, are 7594 and

3968 ten-millionths of a millimetre.

[3] Possibly the human eye is at present in process of transformation from

an inferior type to a different and more perfect one.

[4] It is sometimes necessary to place the lens I on the other side of K.

[5] It is easy to find specimens of red and green glass suitable for this

experiment. The proper kind of purple is not so commonly met with.

[6] Some recent experiments on artificial colour-blindness (Proc. Roy.

Soc., Feb., 1898) have led Mr. Burch to the conclusion that there are

really _four_ fundamental colour-sensations--a red, a green, a blue, and a

violet. His results are, however, thought to be capable of a different

interpretation.

[7] Or through several pieces superposed.

[8] A violet-coloured haze may sometimes be actually seen around the opal

globes of the electric lamps in the streets.

[9] A "focus" electric lamp was used in the lantern.

[10] Proc. Roy. Soc., Jan., 1899.

[11] After a few seconds' observation the greenish-blue colour often

becomes much more intense, but this is an effect of fatigue, with which we

are not at present concerned.

[12] See _Nature_, vol. 55, p. 367 (Feb. 18th, 1897).

[13] Or, for best results, use a balanced metal disk covered with black

velvet and white paper.

End of Project Gutenberg's Curiosities of Light and Sight, by Shelford Bidwell

Curiosities of Light and Sight · 第 5 / 5 章