It is impossible to exaggerate the importance of
the atmosphere to all forms of life upon the surface
of the earth. If there were no atmosphere there
would be no life, because it is through the agency of
the water-vapor, carbon-dioxide and oxygen in the atmosphere
that all life-processes are maintained.
If there were no atmosphere there would not only
be no life upon the earth; there would be also none
of the beautiful color effects produced by the passage
of sunlight through the atmosphere. There would be
no blue skies, no beautiful sunrise and sunset effects,
no twilight, no rainbows, no halos, no auroral displays,
no clouds, no rains, no rivers nor seas, no winds nor
storms. The heavens would be perfectly black except
in the direction of the heavenly bodies which would
shine as brilliantly by day as by night.
To understand how the atmosphere produces color
effects such as blue skies, sunrise and sunset tints, rainbows
and halos, as well as the twinkling of the stars,
and numerous other phenomena, we must know something
of the nature of light itself.
Light moves outward from any source, such as the
sun, in all directions radially, or along straight lines
(so long as it does not encounter a gravitational field)
with the unimaginable velocity of 186,000 miles per
second. As it advances it vibrates or oscillates back
and forth across its path in all directions at right
angles to this path, unless it is plane polarized light,
in which case its vibrations are confined to one
plane only.
These vibrations or oscillations of light take the form
of a wavelike motion, one wave-length being the
distance passed over in the time of one vibration,
measured from crest to crest or from trough to
trough of adjacent waves.
We may consider that a beam or ray of sunlight
is made up of a great number of individual rays of
different wave-lengths and different colors. The average
wave-length of light, the wave-length of the green
ray in sunlight, is about one-fifty-thousandth part of
an inch, that is, it would take about fifty-thousand
wave-lengths of green light to cover a space of one
inch. Now, since light makes one vibration in passing
over a distance of one wave-length, it makes fifty
thousand vibrations, while advancing one inch, and
since it advances one hundred and eighty-six thousand
miles in one second we can easily figure out that a
ray of sunlight of average wave-length makes about
six hundred trillion vibrations (600,000,000,000,000)
in a single second!
The chief colors of which sunlight or white light
is composed are red, orange, yellow, green, blue,
indigo and violet, though there are an infinite number
of gradations of color which blend into one another,
gradually producing the intermediate tints and shades.
The colors just mentioned are called the primary
colors of the solar spectrum, which can be produced
as a band of light of variegated colors, arranged in
the order named by passing a ray of ordinary sunlight
through a glass prism. The individual rays of
different color and wave-length that make up a beam
of sunlight, or white light, then separate out in the
order of the wave-lengths. The red rays vibrate the
most slowly and have the longest wave-length of
all the rays of the visible spectrum. About four
hundred trillion vibrations of red light reach the eye
in one second. Violet rays, on the other hand, vibrate
the most rapidly of all the visible rays and have the
shortest wave-length. About eight hundred trillion
vibrations of violet light reach the eye every second.
The wave-lengths of the intermediate colors decrease
in length progressively from the red to the violet and,
of course, the frequencies of their vibrations increase
in the same order. All sunlight is made up of these
rays of different colors and different vibration frequencies,
and of other rays as well, to which the human
eye is not sensitive, and which, therefore, do not
appear in the visible spectrum. Among these invisible
rays are the infra-red rays which come just below
the red of the visible spectrum, and which are of
longer wave-length than the red rays, and the ultra-violet
rays, which lie beyond the violet rays of the
visible spectrum, and are of shorter wave-length than
the violet rays.
Now a ray of ordinary sunlight is separated into
the rays of various colors, which form the solar spectrum
when it passes from a medium of one density
obliquely to a medium of another density, as when it
passes from air to glass, or from air to water, or from
outer space into the earth's atmosphere. Under such
circumstances its velocity is slowed down when it
passes from a rare to a denser medium, and the waves
of different wave-lengths are bent from their former
course, or refracted, by different amounts. The red
rays, of longest wave-length, are bent from their former
course the least, and the violet rays, of shortest wave-length,
are bent the most upon passing from a rare
to a denser medium. As a result the ray of sunlight
is spread out or dispersed into its rays of different
wave-length and color upon entering a medium of
different density. It is this refraction and dispersion
of sunlight that produces many color effects in the
earth's atmosphere.
The atmosphere is not of uniform density throughout.
At high altitudes it is extremely rare. That is, there
is little of it in a given volume. Close to the earth's
surface, however, it is comparatively dense. Half of
all the atmosphere is within three and one-half miles of
the surface and half of the remainder lies within the
next three and a half miles. We may consider it as
made up, on the whole, of layers of different densities,
strongly compressed near the surface.
Imagine a ray of sunlight entering the earth's atmosphere
from without. If it comes from a point in
the zenith its course is not changed upon entering the
atmosphere, because light passing from a certain
medium—as space—into a medium of different density,
is not bent from its course, or refracted, provided it
enters the new medium in a direction perpendicular to
the surface. If it enters the atmosphere (which is
the new medium of greater density) obliquely, refraction,
or bending of the ray, takes place, and as the
ray advances toward the earth, through layers of
increasing densities, it is bent from its former course
more and more. As the advancing rays of different
colors and wave-lengths in the beam of sunlight are
slowed down in the new medium, the red rays are
turned from their course the least and the violet rays
the most and the entire advancing wave-front of the
beam of sunlight is bent down more and more toward
the horizon, as it proceeds through the atmosphere.
As we on the earth's surface see the ray not along
its bent course through the atmosphere, but in the
direction in which it finally enters our eyes, the effect
of refraction upon a ray of light passing through the
atmosphere is to displace the object in the direction
of the zenith or increase its distance above the horizon.
As a result of refraction we see the sun—or moon—above
the western horizon after it has really set, and
above the eastern horizon before it has really risen.
The oval shape that the sun, or moon, often presents
on rising or setting, is due to the fact that the light
from the lower limb is passing through denser air
than the light from the upper limb, and so is refracted
more. As a result the lower limb is lifted proportionately
more than the upper limb. This distorts the
form of the solar or lunar disk, making it appear oval
instead of circular.
The familiar twinkling or scintillation of stars and,
more rarely, of the planets, is a result of interference
of light waves due to irregular and variable refraction
in air that is not uniform in density, owing to the
presence of constantly rising and descending atmospheric
currents of different densities. This also produces
the shimmering or unsteadiness of star images
in the telescope, that interferes so greatly with accurate
measurements of angles or observations of planetary
markings.
One may ask why it is, if light from an object,
say a star, is bent from its course and separated into
rays of various colors upon entering the earth's atmosphere,
that we do not see the object drawn out
into a band of spectral colors. It is because the angular
separation of the various colors is so slight under
ordinary circumstances that light from one point is
blended with light from a neighboring point of complementary
color to produce white light again. Under
certain circumstances, however, beautiful color effects
may be seen in the earth's atmosphere as a result of
the refraction of sunlight.
The blue color of the sky and its brightness is
caused by the scattering of the rays of shortest wave-length,
the violet and blue rays, by the oxygen and
nitrogen in the upper atmosphere. The molecules of
these gases interfere with the passage of these rays,
powerfully scattering and dispersing them, and thus
increasing the length of their path through the air
and diffusing their color and brightness in the upper
atmosphere, while permitting rays of longer wave-length,
the red and orange, to pass on practically
undisturbed.
When an object in the heavens lies close to the
horizon, the rays of light from it have to travel a
longer path through the atmosphere than when the
object is overhead, and that too through the densest
part of the atmosphere, which lies close to the earth's
surface, and in which are floating many dust particles
and impurities from the earth's surface. All these
particles, as well as the increased density of the atmosphere,
interfere with the free passage of the
rays, especially of shorter wave-lengths. The violet
and blue rays are sifted out and scattered in their
long journey through the lower strata of air, far
more than when they come to us from an object high
in the sky. Even the red and yellow rays are more
or less scattered and bent aside—diffracted—by these
comparatively large particles near the surface. The
reddish color of the sun, moon and even of the stars
and planets, when seen near the horizon, as well as
the beautiful sunset tints, in which reds and pinks
and yellows predominate, are due to the fact that the
rays of longer wave-length are more successful in
penetrating the dense, dust-laden layers of the lower
atmosphere. It is to be free of the dust and impurities
as well as the unsteadiness of the lower atmosphere,
that observatories are built at high altitudes whenever
possible.
When there have been unusually violent volcanic
eruptions, and great quantities of finely divided dust
have been thrown into the upper atmosphere, the effect
upon the blue and violet rays from the sun is very
great. The volcanic dust particles are so large that
instead of scattering these rays of shorter wave-length,
as do the oxygen and nitrogen in our atmosphere,
they reflect them back into space and so decrease the
amount of light and heat received from the sun. For
this reason the general temperature of the earth is
lowered by violent volcanic eruptions. Unusually
cold periods, that lasted for months, followed the terrible
eruption of Krakatoa in 1883 and of Katmai in
1912.
At times when much dust is present in the atmosphere,
the sky is a milky white color by day as a
result of the reflection of sunlight from the dust
particles. Sunrise and sunset colors are then particularly
gorgeous, with reds predominating. At such
times the blue and violet rays are almost completely
shut out, and the red, orange and yellow rays are
powerfully diffracted and scattered by the dust particles
in the air.
The twilight glow that is visible for some time
before sunrise or after sunset is, of course, entirely
an atmospheric effect caused by the reflection of
sunlight to our eyes from the upper atmosphere, upon
which the sun shines, while it is, itself, concealed from
our view below the horizon. The atmosphere extends
in quantities sufficient to produce twilight to an
elevation of about sixty miles.
When all the rays of which sunlight is composed
are reflected in equal proportions we get the impression
of white light. Dust and haze in the air reflect all
rays strongly and give a whitish color to an otherwise
blue sky. Brilliant white clouds appear white, because
they are reflecting all rays equally. Clouds or portions
of clouds appear black when they are in shade or,
at times, by contrast with portions that are more
strongly illuminated, or when they are moisture-laden
and near the point of saturation, when they are absorbing
more light than they reflect. At sunrise and
sunset, when the light that falls upon the clouds is
richest in red and orange and yellow, clouds reflect
these colors to our eyes, and we see the brilliant
sunset hues which are more intense the more the
air is filled with dust and impurities.
The familiar and beautiful phenomenon of the rainbow
is produced by refraction, reflection and interference
of sunlight by drops of falling water, such
as rain or spray. As the ray of sunlight enters
the drop of water, which acts as a tiny glass prism, it
is refracted or bent from its course and spread out
into its spectral colors. Reflection of these rays next
takes place (once or twice, as the case may be) from
the inside of the drop and a second refraction of
the reflected ray takes place as it leaves the drop. The
smaller the drops the more brilliant is the rainbow
and the richer in color. The most brilliant rainbows
are produced by drops between 0.2 and 0.4 millimeters
in diameter. In addition to the primary bow, which
has a red outer border with a radius of 42°, there
is the secondary bow with a radius of about 51° and
with colors reversed, the red being on the inner border;
the supernumerary bows which are narrow bands of
red, or green and red, appear parallel to the primary
and secondary bows along the inner side of the primary
bow and the outer side of the secondary bow. No
rainbow arches ever appear between the primary and
secondary bows, and it can be shown in fact, that
the illumination between these two bows is at a
minimum.
The primary, secondary and supernumerary bows
all lie opposite the sun in the direction of the observer's
shadow and the observer must stand with
his back to the sun in order to see them. The primary
and secondary rainbow arches take the form of arcs
of circles that have their common center on the
line connecting the sun with the observer at a point
as far below the horizon in angular distance as the
sun is above the horizon. It is, therefore, never
possible to see a rainbow arch of more than a semicircle
in extent unless the observer is at an elevation
above the surrounding country, under which circumstances
it might be possible to see a complete circle
formed by the rainbow.
The highest and longest arch appears when the sun
is on the horizon, and the greater the altitude of the
sun the smaller and lower the visible arch. As the
angular radius of the primary bow is 42° and of the
secondary bow 51° and as the common center of the
two circles is always as far below the horizon as the
sun is above, it is never possible to see either primary
or secondary rainbow when the altitude of the sun
is over 51°, or the primary bow when the altitude
is over 42°. For this reason rainbows are rarely
seen at or near noon in mid-latitudes, since the sun is
usually at an elevation of more than 42° at noon,
especially in the summer season, which is also the
most favorable season for rainbows, owing to the
great likelihood of rain and sunshine occurring at the
same time.
The light which comes to an observer from the
primary bow is once reflected within the drop, and that
which comes from the secondary bow is twice reflected
within the drop. The sharper and brighter light
therefore comes from the primary bow of 42° radius.
The space between the two bows is particularly dark,
because it can be shown that the drops there do not
reflect any light at all.
The rainbow colors are rarely pure or arranged in
spectral order, owing to interference of light waves.
It is the interference of light waves from different
parts of the same drop that produces the bands of
alternate maximum and minimum brightness, that lie
below the primary bow and beyond the secondary
bow. The red or green and red bands of maximum
brightness produced thus by interference, are called
the supernumerary bows, and they are always found
parallel to the primary and secondary bow within the
former and above the latter.
The distance of the rainbow from the observer is
the distance of the drops that form it. A rainbow
may be formed by clouds several miles distant or by
the aid of the garden hose on our lawn. No two
observers can see exactly the same rainbow because
the rainbow arch encircles the surface of a cone
whose vertex is at the observer's eye and no two
such vertices can exactly coincide. Two observers
see rainbows formed by different drops.
Refraction of light by ice-crystals in clouds produces
many beautiful color effects, such as halos of
various types around sun or moon, vertical light pillars,
circumzenithal arcs, and parhelia—"sun-dogs"—or
paraselenæ—"moon-dogs"—which are luminous
spots at equal altitudes with sun or moon—one to the
left the other to the right, at an angular distance
of 22°.
The most usual form of halo is that of 22° radius.
This is a luminous ring of light surrounding sun or
moon, with the inner edge red and sharply defined
and the spectral colors proceeding outward in order;
red is frequently the only color visible, the remainder
of the ring appearing whitish. Since the halo is produced
by refraction of light by ice-crystals, which
exist in clouds of a certain type gathering at high
altitudes, it is always a very good indicator of an
approaching storm.
Coronas are luminous rings showing the spectral
colors in the reverse order, that is, with the inner edge
blue instead of red. They are usually of very small
radius, scarcely two degrees, closely surrounding sun
or moon and are produced—not by refraction—but
by diffraction or a bending aside of the rays as they
pass between—without entering—very small drops of
water in clouds. As in the case of refraction, the red
rays are turned from their course the least and the
violet rays the most.
Many of these phenomena—halos, luminous spots,
vertical pillars and arcs of light may, at times, be
seen simultaneously, when clouds of ice-crystals are
forming around the sun or moon. They then present
a very complex and beautiful outline of luminous
circles, arches and pillars that have a mysterious and
almost startling appearance when the cause is not
clearly understood.
We have found then that sunlight is made up of
rays of many different wave-lengths and colors and
that the atmosphere acts upon these rays in various
ways. It reflects them or turns them back on their
course; it refracts them as they pass through the gases
of which the atmosphere consists, or through the
water-vapor and ice-crystals suspended in it, thus sifting
out and dispersing the rays of different colors and
wave-lengths and producing beautiful color effects; it
diffracts them or bends them aside as they pass between
the fine dust particles and small drops of water in
the air, again sifting out the rays of different colors
and producing color effects similar to those produced
by refraction; it also scatters and disperses,
through the action of the molecules of oxygen and
nitrogen in the upper strata, the blue and violet rays
of shorter wave-length and thus produces the blue
color and brightness of the sky; it produces beautifully
colored auroral streamers and curtains and rays of
light through the electrical discharges resulting when
the rarefied gases in the upper air are bombarded by
electrified particles shot forth from the sun.
It is our atmosphere, then, that we have to thank
for all these beautiful displays of color that delight
our eyes and give pleasure to our existence, as well
as for the very fact of our existence upon a planet that
without its presence would be an uninhabitable waste,
covered only with barren rocks.