HYPOTHESIS III.

_The Sensation of different Colours depends on the different frequency

of Vibrations, excited by Light in the Retina._

_Passages from_ NEWTON.

“The objector’s hypothesis, as to the fundamental part of it, is not

against me. That fundamental supposition is, that the parts of bodies,

when briskly agitated, do excite vibrations in the ether, which are

propagated every way from those bodies in straight lines, and cause a

sensation of light by beating and dashing against the bottom of the

eye, something after the manner that vibrations in the air cause a

sensation of sound by beating against the organs of hearing. Now, the

most free and natural application of this hypothesis to the solution

of phenomena, I take to be this: that the agitated parts of bodies,

according to their several sizes, figures, and motions, do excite

vibrations in the ether of various depths or bignesses, which, being

promiscuously propagated through that medium to our eyes, effect in us

a sensation of light of a white colour; but if by any means those of

unequal bignesses be separated from one another, the largest beget a

sensation of a red colour, the least or shortest of a deep violet, and

the intermediate ones of intermediate colours; much after the manner

that bodies, according to their several sizes, shapes, and motions,

excite vibrations in the air of various bignesses, which, according

to those bignesses, make several tones in sound: that the largest

vibrations are best able to overcome the resistance of a refracting

superficies, and so break through it with least refraction; whence the

vibrations of several bignesses, that is, the rays of several colours,

which are blended together in light, must be parted from one another by

refraction, and so cause the phenomena of prisms, and other refracting

substances; and that it depends on the thickness of a thin transparent

plate or bubble, whether a vibration shall be reflected at its further

superficies, or transmitted; so that, according to the number of

vibrations, interceding the two superficies, they may be reflected or

transmitted for many successive thicknesses. And, since the vibrations

which make blue and violet, are supposed shorter than those which make

red and yellow, they must be reflected at a less thickness of the

plate: which is sufficient to explicate all the ordinary phenomena of

those plates or bubbles, and also of all natural bodies, whose parts

are like so many fragments of such plates. These seem to be the most

plain, genuine, and necessary conditions of this hypothesis. And they

agree so justly with my theory, that if the animadversor think fit to

apply them, he need not, on that account, apprehend a divorce from it.

But yet, how he will defend it from other difficulties, I know not.”

(Phil. Trans. Vol. VII. p. 5088. Abr. Vol. I. p. 145. Nov. 1672.)

“To explain colours, I suppose, that as bodies of various sizes,

densities, or sensations, do by percussion or other action excite

sounds of various tones, and consequently vibrations in the air

of different bigness; so the rays of light, by impinging on the

stiff refracting superficies, excite vibrations in the ether,—of

various bigness; the biggest, strongest, or most potent rays, the

largest vibrations; and others shorter, according to their bigness,

strength, or power: and therefore the ends of the capillamenta of the

optic nerve, which pave or face the retina, being such refracting

superficies, when the rays impinge upon them, they must there excite

these vibrations, which vibrations (like those of sound in a trunk or

trumpet) will run along the aqueous pores or crystalline pith of the

capillamenta, through the optic nerves, into the sensorium;—and there,

I suppose, affect the sense with various colours, according to their

bigness and mixture; the biggest with the strongest colours, reds and

yellows; the least with the weakest, blues and violets; the middle

with green; and a confusion of all with white, much after the manner

that, in the sense of hearing, nature makes use of aerial vibrations of

several bignesses, to generate sounds of divers tones; for the analogy

of nature is to be observed.” (BIRCH Vol. III. p. 262. Dec. 1675.)

“Considering the lastingness of the motions excited in the bottom of

the eye by light, are they not of a vibrating nature?—Do not the most

refrangible rays excite the shortest vibrations,—the least refrangible

the largest? May not the harmony and discord of colours arise from the

proportions of the vibrations propagated through the fibres of the

optic nerve into the brain, as the harmony and discord of sounds arise

from the proportions of the vibrations of the air?” (Optics, Qu. 16,

13, 14.)

_Scholium_. Since, for the reason here assigned by NEWTON, it is

probable that the motion of the retina is rather of a vibratory than of

an undulatory nature, the frequency of the vibrations must be dependent

on the constitution of this substance. Now, as it is almost impossible

to conceive each sensitive point of the retina to contain an infinite

number of particles, each capable of vibrating in perfect unison with

every possible undulation, it becomes necessary to suppose the number

limited, for instance, to the three principal colours, red, yellow,

and blue, of which the undulations are related in magnitude nearly as

the numbers 8, 7, and 6; and that each of the particles is capable of

being put in motion less or more forcibly, by undulations differing

less or more from a perfect unison; for instance, the undulations of

green light being nearly in the ratio of 6-1/2, will affect equally the

particles in unison with yellow and blue, and produce the same effect

as a light composed of those two species: and each sensitive filament

of the nerve may consist of three portions, one for each principal

colour. Allowing this statement, it appears that any attempt to produce

a musical effect from colours, must be unsuccessful, or at least that

nothing more than a very simple melody could be imitated by them; for

the period, which in fact constitutes the harmony of any concord, being

a multiple of the periods of the single undulations, would in this case

be wholly without the limits of sympathy of the retina, and would lose

its effect; in the same manner as the harmony of a third or a fourth is

destroyed, by depressing it to the lowest notes of the audible scale.

In hearing, there seems to be no permanent vibration of any part of the

organ.

On the theory of light and colours · 第 3 / 17 题