The revival and final establishment of the undulatory or wave theory of
light is one of the glories of the nineteenth century, and the credit
for it is due to Thomas Young, an Englishman, and Fresnel, a Frenchman.
Newton had conceived, espoused, and, owing to the great authority
of his name, almost fixed upon the learned world the corpuscular or
emission theory, which assumes that all luminous bodies emit streams of
minute corpuscles, which are reflected, refracted, and produce vision.
Many ordinary optical phenomena were explained by this hypothesis
only with great difficulty, and some were quite unexplainable. The
transmission of a disturbance or vibratory motion by means of waves, as
in the case of sound, was a well-recognized principle, and Young and
Fresnel applied it most successfully to the phenomena of light. Wave
motion, in a general way, is only possible in a sensibly continuous
medium, such as water, air, etc., and the theory that light was a
vibratory disturbance transmitted by means of waves necessitated the
assumption of the existence of such a medium throughout all space in
which light travelled. What is known as the ethereal medium, at first
a purely imaginary substance, but whose real existence is practically
established, satisfies this demand, and the hypothesis that light is
transmitted by waves in such a medium, originating in a vibratory
disturbance at the source, has been of inestimable value to physical
science.
The work of Thomas Young was done in the very first years of the
nineteenth century. He was for two years professor of Natural
Philosophy in the Royal Institution just founded by Count Rumford, and
he was the first to fill that chair. In 1801, in a paper presented to
the Royal Society, he argued in favor of the undulatory theory, showing
how the interference of waves would explain the color of thin plates.
His papers were not, for several years, received favorably, and they
were severely criticised by Lord Brougham. Augustus Fresnel followed
Young, but quite independently, about ten years later, and by him the
undulatory theory received elaborate experimental and mathematical
treatment.
In the mean time another Frenchman had made a capital discovery in
optics, which seemed at first to be quite incompatible with the wave
theory. This was the discovery of what is known as _polarization of
light_ by Malus, a French engineer, who hit upon it while investigating
double refraction of crystals, for a study of which the French
Institute had offered a prize in 1808. Malus found that when light fell
upon a surface of glass at a certain angle a portion of the reflected
light appeared to have acquired entirely new properties in regard to
further reflection, and the same was true of that part of the beam
which was transmitted through the glass. The light thus affected was
incapable of further reflection under certain conditions, and as the
beam seemed to behave differently according to how it was presented
to the reflecting surface, the term polarization was applied to the
phenomenon. It was found that the two rays into which a single beam
of light was split by a doubly refracting crystal (a phenomenon which
had long been known) were affected in this way, and that light was
polarized by refraction as well as by reflection. Malus was a believer
in the corpuscular theory of light, but it was shortly proved, first
by Thomas Young, that the phenomenon of polarization was not only
not opposed to the wave theory, but that that theory furnished a
rational explanation of it. This explanation, in brief, assumes that
ordinary light is a wave produced by a vibratory motion confined to
no particular plane, the direction of vibration being at right angles
to the direction of the wave, and in any, or, in rapid succession, in
_all_ azimuths. When light is polarized the vibratory motion in the
ether is restricted to one particular form, a line if plane polarized,
a circle or an ellipse if circularly or elliptically polarized. This
simple hypothesis has been found quite adequate, and through its
application to the various phenomena of polarization, together with
the application of Young’s theory of the interference of waves to
the production of color, the undulatory theory of light was firmly
established before the middle of the century. There were many noted
philosophers, however, who stood out long against it, notably Brewster,
the most famous English student of optics of the early part of the
century, who declared that his “chief objection to the undulatory
theory was that he could not think the Creator guilty of so clumsy a
contrivance as the filling of space with ether in order to produce
light.” In studying the nature of light it became very important to
know how fast a light wave travelled. A tolerably good measure of the
velocity of light had been made long before by means of the eclipses of
Jupiter’s moons and by observations upon the positions of the stars as
influenced by the motion of the earth in its orbit. It was found to be
approximately one hundred and eighty thousand miles per second, a speed
so great that it seemed impossible that it should ever be measured by
using only terrestrial distances.
This extremely difficult problem has been solved, however, in a most
satisfactory manner by nineteenth-century physicists. Everybody
knows that in a uniform motion velocity is equal to space or distance
divided by time. If, then, the time occupied in passing through a
given distance can be measured, the velocity is at once known. As the
velocity of light is very large, unless the distance is enormously
great, the time will be extremely small, and if moderate distances
are to be used the problem is to measure very small intervals of time
very accurately. Light will travel one mile in about the one hundred
and eighty-sixth thousandth part of a second, and if by using a mile
as the distance the velocity of light is to be determined within
one per cent., it is necessary to be able to detect differences of
time as small as about one twenty-millionth of a second. This has
been made possible by the use of two distinct methods. Foucault, on
the suggestion of Arago, used a rapidly revolving mirror, a method
introduced by Wheatstone, the English electrician, who used it in
finding the duration of an electric spark. The essential principle is
that a mirror may be made to revolve so rapidly that it will change its
position by a measurable angle, while light which has been reflected
from it passes to a somewhat distant fixed mirror and returns to the
moving reflector. In the other method a toothed wheel is revolved so
rapidly that a beam of light passing between two consecutive teeth to
a distant fixed mirror is cut off on its return to the wheel by the
tooth, which has moved forward while the light has made its journey.
This method was first used by Fizeau. In either method, if the speed
of rotation is known, the time is readily found. In point of time,
Fizeau was the first to attack the problem, which he did about 1849.
Foucault was perhaps a year later in getting results, but his method
is generally considered the best. Both methods have been used by other
experimenters, and very important improvements in Foucault’s method
were made in the United States by Michelson about 1878. Michelson’s
method increased enormously the precision of the measurements, and
it has been applied by him and by Newcomb, not only for the better
determination of the velocity of light in air, but for the solution
of many other related problems of first importance. Michelson’s final
determination of the absolute velocity of light (in the ether) is
everywhere accepted as authoritative.
Another discovery in optics entirely accomplished during the nineteenth
century and of the very first importance is generally known as
“Spectrum Analysis.” This discovery has not yet ceased to excite
admiration and even amazement, and especially among those who best
understand it. By its use hitherto unknown substances have become
known; to the physicist it is an instrument of research of the greatest
power, and perhaps more than anything else it promises to throw light
on the ultimate nature of matter; to the astronomer it has revealed
the composition, physical condition, and even the motions of the most
distant heavenly bodies, all of which the philosophy of a hundred years
ago would have pronounced absolutely impossible.
The beginning of spectrum analysis was in 1802, when an Englishman, Dr.
Wollaston, observed dark lines interrupting the solar spectrum when
produced by a good prism upon which the sunlight fell after passing
through a narrow slit. About ten years later, Fraunhofer, at Munich, a
skilful worker in glass and a keen observer, discovered in the spectrum
of light from a lamp two yellow bands, now known as the sodium, or
“D” lines. Combining the three essential elements of the modern
spectroscope, the slit, the prism, and the observing telescope, he saw
in the spectrum of sunlight “an almost countless number of dark lines.”
He was the first to use a grating for the production of the spectrum,
using at first fine wire gratings and afterwards ruling fine lines
upon glass, and with these he made the first accurate measures of the
length of light waves. He did not, however, comprehend the full import
of the problem which he thus brought to the attention of physicists.
About twenty years later Sir John Herschell studied the bright line
spectra of different substances and found that they might be used to
detect the presence of minute quantities of a substance whose spectrum
was known. Wheatstone studied the spectrum of the electric arc passing
between metals, and in 1874 Dr. J. W. Draper published a very important
paper on the spectra of solids with increasing temperature. Although
quite in the dark as to the real nature of the phenomena with which
they were dealing, these observers paved the way for the splendid work
of the two Germans, Kirchoff and Bunsen, who, about 1860, found the key
to this wonderful problem and made the science of spectrum analysis
substantially what it is to-day. Its fundamental principles may be
considered as few and comparatively simple.
Waves of light and radiant heat originate in ether disturbances
produced by molecular vibration, and have impressed upon them all of
the important qualities of that vibration. Molecules of different
substances differ in their modes of vibration, each producing a wave
peculiar to and characteristic of itself. A useful analogy may be found
in the fact that when one listens to the music of an orchestra without
seeing it it is easy to recognize the tones that come from each of
the several instruments, the characteristic vibrations of each being
impressed upon the waves in air which carry the sound to the ear. So
delicate and so sure is this impression of vibration peculiarities that
it is even possible to know the maker of a violin, for instance, by a
characteristic _timbre_ which must have its physical expression in the
sound wave. The ear, more perfect than the eye, analyzes the resultant
disturbance into its component parts so that each element may be
attributed to its proper source. Unaided, the eye cannot do this with
light, but the spectroscope separates the various modes of vibration
which make up the confused whole, so that varieties of molecular
activity are recognizable. The speed at which a source of sound is
approaching or receding from the ear can be ascertained by noting the
rise or fall in pitch due to the crowding together or stretching out
of the sound waves, and in the same way the motion of a luminous body
is known from the increase or decrease of the refrangibility of the
elements of its spectrum.
Indeed, had nineteenth-century science accomplished nothing else than
the discovery of spectrum analysis, it would have marked the beginning
of a new epoch. By this device man is put in communication with every
considerable body in the universe, including even the invisible. The
“goings on” of Sirius and Algol, of Orion and the Pleiads are reported
to him across enormous stretches of millions of millions of miles of
space, empty save of the ethereal medium itself, by this most wonderful
“wireless telegraphy.” And it is by the vibratory motion of the
invisibly small that all of this is revealed; the infinitely little has
enabled us to conquer the inconceivably big.
Many important contributions to the theory and practice of spectrum
analysis have been made since the time of Kirchoff and Bunsen, only
two or three of which can be referred to here. Instrumental methods by
which spectra are produced and examined have been greatly perfected,
and this is especially true of what is known as the “diffraction
grating” first used by Fraunhofer. A quarter of a century ago
Rutherford, of New York, constructed a ruling engine by means of which
gratings on glass and spectrum metal were ruled with a precision
greatly exceeding what had before been possible. A few years later
Rowland, of Baltimore, made a notable advance in the construction of
a screw far more perfect than any before made, producing gratings of
a fineness and regularity of spacing far ahead of any others, and
especially by the capital discovery of the concave grating, by means
of which the most beautiful results have been obtained. Very recently
Michelson, of Chicago, has invented the echelon spectroscope, which,
although greatly restricted in range, exceeds all others in power of
analysis of spectral lines. In his hands this instrument has been most
effective in the study of the influence of a strong magnetic field
upon the character of the spectrum from light produced therein, a most
interesting phenomenon first observed by Zeeman and one which promises
to reveal much concerning the relation of molecular activity to light
and to magnetic force.
The development of spectrum analysis was necessarily accompanied by a
recognition of the identity of radiant heat and light. The study of
radiant heat, which was carried on during the earlier years of the
century by Leslie, and later by Melloni and Tyndall, by what might be
called thermal methods, has been industriously pursued during the last
two decades by processes similar to those adopted for visual radiation.
The most notable contribution to this work is the invention of the
_bolometer_, by Langley, who, at Allegheny, and later at Washington,
has made exhaustive studies of solar radiation in invisible regions
of the spectrum, especially among the waves of greater length than
those of red light, where he has found absorption lines and bands
similar in character to those observed in the visible spectrum. He has
also studied the absorption of the earth’s atmosphere, the relation
of energy to visual effect, and many other interesting problems, the
solution of which was made possible by the use of the bolometer.
Mention must also be made of the invention by Michelson of an
interference comparator, by means of which linear measurements by
optical methods can be accomplished with a degree of accuracy hitherto
unheard of. With this instrument Michelson has determined the length of
the international prototype metre in terms of the wave length of the
light of a particular spectral line, thus furnishing for the first time
a satisfactory _natural_ unit of length.
By far the most important contribution to the theory of light made
during the last half of the century is that of Maxwell, who, in 1873,
announced the proposition that electro-magnetic phenomena and light
phenomena have their origin in the same medium, and that they are
identical in nature. This far-reaching conclusion has been generally
accepted and formed the basis of much of the most important work in
physical research in process of elaboration as the century closed. To
some of this reference will presently be made.