2. Atmospheric optics and radiation: Visibility -
attenuation of light, turbidity
Optical phenomena rainbows haloes corona
glory mirage blue of the sky colours at sunrise
and sunset atmospheric refraction,
Radiation in the atmosphere The spectrum, black
body radiation, scattering
7. Rainbows come from the interaction of sunlight with round
water droplets
preferred single-reflection path with ~42属 deflection angle
see http://mysite.verizon.net/vzeoacw1/rainbow.html
drag incoming ray, and you get a stationary behavior at 42
rainbow arc always centered on anti-solar point
different colors refract at slightly different angles
owes to differences in refractive index for different colors
Spring 2008 7
red appears higher in sky than bluesingle bounce; red & blue paths different
8. Rainbows come in pairs
Spring 2008 8
Secondary rainbow has two
reflections. Red now appears
lower than blue in the sky.
Beautiful double rainbow in Zion National Park.
The primary is brighter, and the color sequence
is reversed from that seen in fainter secondary.
Area between rainbows often
seen to be darker than elsewhere.
.
9. Questions
Which general direction will a rainbow be
found in the evening?
Why dont you see rainbows during the
middle of the day?
Spring 2008 9
10. The primary rainbow is a circle with radius 42属
and its center at your heads shadow.
14. A halo is a ring of light
surrounding the sun or moon.
Most halos appear as bright
white rings but in some
instances, the dispersion of
light as it passes through ice
crystals found in upper
level cirrus clouds can cause a
halo to have color.
15. Halo
Halos are caused by the light of the sun
or moon passing through a very thin layer
of cirriform[Cirrocumulus and cirrostratus ]
(ice-crystal) clouds in the upper
atmosphere.
The ice crystals refract the light of the
moon, similar to the way water droplets in
the lower atmosphere can refract sunlight
to produce a rainbow.
Just like a rainbow, strong halos can
have bands of color in them, due to
slightly different refractive properties of
the ice crystals for different colors.
Essentially, halos ARE rainbows caused
by primary refraction in ice crystals.
http://curious.astro.cornell.edu/question.php?number=79
16. Anatomy of a Moon Halo
The ring that appears around the moon arises from light passing
through six-sided ice crystals high in the atmosphere.
These ice crystals refract, or bend, light in the same manner that a
camera lens bends light. The ring has a diameter of 22属 , and sometimes,
if you are lucky, it is also possible to detect a second ring, 44属 diameter.
Thin high cirrus clouds lofting at 20,000 feet or more contain tiny ice
crystals that originate from the freezing of super cooled water droplets.
These crystals behave like jewels refracting and reflecting in different
directions.
Cloud crystals are varieties of hexagonal prisms, (6 sides) and range in
shapes from long columns to thin plate-like shapes that have different
face sizes.
17. Light undergoes two refractions as it passes through
an ice crystal and the amount of bending that occurs
depends upon the ice crystal's diameter.
http://ww2010.atmos.uiuc.edu/(Gh)/guides/mtr/opt/ice/halo/22.rxml
18. A 22 degree halo develops when light enters one side of a
columnar ice crystal and exits through another side. The
light is refracted when it enters the ice crystal and once
again when it leaves the ice crystal.
The two refractions bend the light by 22 degrees
from its original direction, producing a ring of light
observed at 22 degrees from the sun or moon.
22. Corona
Moon Corona
Another interesting
effect caused by
moon light is the
corona. Just like
lunar halos, coronas
are produced by high
thin clouds. But
unlike halos coronas
are very small in
size.
23. Coronas
produced by diffraction of light
When the distance between the drops is similar to the
wavelength of visible light, the light that shines
through the cloud droplets is diffracted and dispersed
in the manner shown below.
On a clear night, for example, the
light you see coming from the moon
is coning straight from the moon.
However if a thin cloud layer is
found between the observer and the
moon, the diffraction and dispersion
of the moonlight actually casts a
light larger than the original light
source. This 'crown' of light around
the sun or moon is called the corona.
24. When the cloud droplets are very uniform in size, the
diffracted light can cause the corona to be separated into its
component colors, with blue light to the inside of the red
light. These colors may repeat themselves, surrounding the
moon with a series of colored rings, becoming fainter as each
subsequent ring is located further from the moon.
Also, a combination of refraction, reflection and diffraction
can combine to produce other optical effects such as glories
and the "Heiligenschein" effect -- which is a bright area
around the head of an observer's shadow on a surface
containing spherical water droplets. Glories are the rings of
illuminated light seen most commonly from plane's shadows
as they fly over clouds of liquid water. In both phenomena,
the light ultimately is bent close to 180属 right back to the
observer.
25. As a beam of light encounters a water droplet, it is refracted as it
enters the droplet. Portions of the light are then internally
reflected off the backside of the droplet. Before the light exits
the droplet completely, it diffracts along the droplet's outer
surface for just an instant as a surface wave before refracting as
it leaves the droplet.
27. The backscattering (see section 7) of sunlight by water
droplets in cloud causes the phenomenon of glory.
Also, the colour of the rings is usually slightly faint. The size
of the luminous rings is quite small. The colours of the rings
are different and could repeat roughly in order for more rings
extending outward.
"Glory" is a set of small luminous rings of different colours
appearing around the antisolar point (Fig.3) of the observer
such that the sun, the observer and the observer's shadow
inside the "glory" are simultaneously lying on a straight line.
Since the luminous rings surrounding the aeroplane have
different colours in order and their size are small, the
phenomenon is "glory".
29. Is "Glory" a rare phenomenon?
In the era of no airplane, sightings of glories were relatively rare. However,
one who climbs up a mountain may also have the opportunity to see
similar phenomenon. A mountaineer could sometimes observe glory with
his shadow projected on fog or clouds when the sun shined from behind
the mountaineer. When the sun is at relatively low altitude near the
sunset or sunrise time, the shadow of the observer's lower half body could
be enormously elongated and is thus apparently magnified. The observer's
shadow, cast on fog or clouds and surrounded by a series of concentric
coloured glowing rings of a glory, is called the Brocken Spectre (Fig.5). If
there is more than one mountaineer, each one could see the shadows of
other mountaineers. However, each mountaineer sees one glory only
around the shadow of his own head as center of the glory and sees no
other glory around the heads (as center of glory) of other mountaineers'
shadows.
31. How are glories formed? What
characteristics do glories have?
Glories are caused by backscattering (see section 7) of sunlight from
droplets of water in clouds or fog and appear against the nearly white
background of clouds or fog. Glories are brighter with multiple rings and
high color purity when the size of the water droplets is very uniform. The
slightly faint colours of the rings in a glory change in the order from red to
orange, yellow, green, blue, and violet inward towards the center or the
antisolar point. Surface tension ensures that small water droplets are
spherical. The visual angular size of a specific ring is approximately
inversely proportional to the size of water droplets. Philip Laven found
that most glories are caused by spherical water droplets with radii
between 4 and 25 袖m. For droplets with radius being 10 袖m, the
innermost red ring appears at a radius of angular width of about 2.4
degrees from the antisolar point. Stanley D. Gedzelman opined that
glories are generally more distinct for cloud with droplets of about 10 袖m
in radius. When droplet radius increases, the glory shrinks and becomes
less prominent.
http://www.weather.gov.hk/education/edu06nature/ele_glory1106_e.htm#q3
33. A mirage is a naturally occurring optical phenomenon in which light
rays are bent to produce a displaced image of distant objects or the
sky. The word comes to English via the French mirage, from
the Latin mirari, meaning "to look at, to wonder at". This is the
same root as for "mirror" and "to admire".
In contrast to a hallucination, a mirage is a real optical phenomenon
which can be captured on camera, since light rays actually are
refracted to form the false image at the observer's location. What
the image appears to represent, however, is determined by the
interpretive faculties of the human mind. For example, inferior
images on land are very easily mistaken for the reflections from a
small body of water.
Mirages can be categorized as "inferior" (meaning lower),
"superior" (meaning higher) and "Fata Morgana", one kind of
superior mirage consisting of a series of unusually elaborate,
vertically-stacked images, which form one rapidly-changing mirage.