Solar radiation extinction in the atmosphere

Содержание

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Incoming SR When passing through the atmosphere SR undergoes significant changes

Incoming SR

When passing through the atmosphere SR undergoes significant changes

Incoming

SR

Diffused part of SR

Absorbed part of SR

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Lecture 3 SR absorption The main gases absorbing S radiation are

Lecture 3

SR absorption

The main gases absorbing S radiation are Ozone (O3),

Oxygen (O2), Water vapor (H2O), and Carbon dioxide (CO2).
Ozone
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Lecture 3 Ozone (O3) absorbtion

Lecture 3

Ozone (O3) absorbtion

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Lecture 3 Oxygen Water vapor Carbon dioxide 0,13 – 0,24 0,72;

Lecture 3

Oxygen

Water vapor

Carbon dioxide

0,13 – 0,24

0,72; 0,84; 0,94; 1,14; 1,38; 1,87;

2,7; 3,2

1,44; 1,6; 2,02; 2,7; 4,31;

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Lecture 3 http://en.wikipedia.org/wiki/File:Atmospheric_Transmission.png http://en.wikipedia.org/wiki/File:Atmospheric_Transmission.png

Lecture 3

http://en.wikipedia.org/wiki/File:Atmospheric_Transmission.png

http://en.wikipedia.org/wiki/File:Atmospheric_Transmission.png

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Lecture 3 Water vapor transmission function Qv is the mass of

Lecture 3

Water vapor transmission function

Qv is the mass of water vapor

in a column of air with the base 1
bi and βi are quantities empirically obtained.

Mass of the water vapor in the atmosphere is larger than that of ozone and carbon dioxide. Hence, it absorbs the larger part of the total absorbed radiation.

Nitrogen does not absorb radiation. Solid aerosols also absorb SR. In the layer 0,3 – 8,4 km O2 and CO2 absorb 3,8% and solid aerosols absorb 4,8% of SR.

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Lecture 3 SR diffusion in the atmosphere Terminology Diffusion (произвольное рассеяние)

Lecture 3

SR diffusion in the atmosphere

Terminology
Diffusion (произвольное рассеяние)
Scattering (Разбрасывание в разных

направлениях любых веществ, предметов и даже людей)
Dispersion (синоним Scattering, в науке применяется к свету)
Turbidity (мутность).
The atmosphere is turbid medium due to many admixtures (aerosols) suspended in the air.
Aerosols scatter and absorb solar and terrestrial radiation.
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Lecture 3 Molecular scattering or Rayleigh scattering The atmosphere is turbid

Lecture 3

Molecular scattering or Rayleigh scattering

The atmosphere is turbid medium diffusing SR

even in the absence of aerosols. In this case turbidity is molecular complexes.
The essence of the scattering is a particular form of interaction between variable field of coming electromagnetic waves and particles in the medium. Due to this kind of interaction the particles become sources of new electromagnetic waves.
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Lecture 3 John William Strutt, third Baron Rayleigh "Lord Rayleigh -

Lecture 3

John William Strutt, third Baron Rayleigh
"Lord Rayleigh - Biography". Nobelprize.org.

22 Sep 2010 http://nobelprize.org/nobel_prizes/physics/laureates/1904/strutt-bio.html

1842 - 1919

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Lecture 3 Rayleigh scattering http://hyperphysics.phy-astr.gsu.edu/hbase/atmos/blusky.html#c4

Lecture 3

Rayleigh scattering

http://hyperphysics.phy-astr.gsu.edu/hbase/atmos/blusky.html#c4

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Lecture 3

Lecture 3

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Lecture 3 Raman scattering Rayleigh scattering can be considered to be

Lecture 3

Raman scattering

Rayleigh scattering can be considered to be elastic scattering

( the photon energies of the scattered photons is not changed)
Scattering in which the scattered photons have either a higher or lower photon energy is called Raman scattering.
Usually this kind of scattering involves exciting some vibrational mode of the molecules, giving a lower scattered photon energy, or scattering off an excited vibrational state of a molecule which adds its vibrational energy to the incident photon.
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Lecture 3 Raman scattering C. V. Raman discovered the inelastic scattering

Lecture 3

Raman scattering

C. V. Raman discovered the inelastic scattering phenomenon which

bears his name in 1928 and for it he was awarded the Nobel Prize for Physics in 1930.
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Lecture 3 Molecular scattering (Continuation) The incident radiation flux of a

Lecture 3

Molecular scattering (Continuation)

The incident radiation flux of a definite wavelength makes

fluxes of the radiation of the same wavelength.
This process is greatly influenced by the geometrical structure and properties of the turbid medium. The geometrical structure is determined by dimensionless parameters and The laws of scattering are quite different for the
cases and .
If , the particles can be regarded as independent emittants.
The phenomenon of interference will not be observed.
No additional fields of radiation will appear.
Instead, the intensities of the radiation will be summed up. This simplifies solution of the problem of, so called, multiple scattering.
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Lecture 3 Multiple scattering Multiple scattering is the result of diffusion

Lecture 3

Multiple scattering

Multiple scattering is the result of diffusion of the

previously scattered radiation.

Multiple scattering can be neglected if the medium turbidity is not very high, i. e. the scattering particles are very distant from each other

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Lecture 3 Physical properties of the scattering fields The main characteristics

Lecture 3

Physical properties of the scattering fields

The main characteristics of the

properties is complex index of refraction.
is absolute index of refraction
is characteristics of absorption
The theory of the molecular scattering had been developed by English scientist Rayleigh, who put in the base of the theory the following assumptions:
All particles have form of a ball. They are dielectrically homogeneous and r<<λ.
Particle index of refraction does not markedly differ from that of the medium: nμ<1 and μ=2πr/λ.
The particles diffuse the light independently, I. e. L>>λ
The diffused light is observed at the distance R>>r
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Lecture 3 Aerosol scattering Mie theory (also called Lorenz–Mie theory or

Lecture 3

Aerosol scattering Mie theory (also called Lorenz–Mie theory or Lorenz–Mie–Debye theory)

Aerosol

particles are much larger than molecule complexes
There are two types of the larger particles in the atmosphere: non-transparent ones (dust, ), and transparent ones (water droplets).
Water droplets absorb radiation of ultraviolet and visible parts of the spectrum just slightly. Absolute index of refraction for water droplets varies not significantly. It average value n=1,33.
n is absolute index of refraction
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Lecture 3 Gustav Mie, German physicist 1869 –1957

Lecture 3

Gustav Mie, German physicist

1869 –1957

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Lecture 3 The volume coefficient of extinction for larger particles is

Lecture 3

The volume coefficient of extinction for larger particles
is a function

of quantity
m - complex index of refraction,
N is the number of particles in a unit of volume.
For very large particles (10In case r>40 μ, the scattering does not depend on wavelength.
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Lecture 3 If many particle of this size are present in

Lecture 3

If many particle of this size are present in the

atmosphere the sky becomes of whitish color (instead of light blue) due to the fact that the light dispersed in the same way regardless which wavelength is dispersed.
Due to the same reason, clouds and fogs have white (whitish) or gre`y color.
Scatter indicatrix for several values of parameter μ.

4

30

8

The larger particles mainly scatter in the direction of incident beam

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Lecture 3 http://hyperphysics.phy-astr.gsu.edu/hbase/atmos/blusky.html#c4 Scatter indicatrix is a vectoral diagram depicting dependence

Lecture 3

http://hyperphysics.phy-astr.gsu.edu/hbase/atmos/blusky.html#c4

Scatter indicatrix is a vectoral diagram depicting dependence of scattered

radiation on direction.

http://hyperphysics.phy-astr.gsu.edu/hbase/atmos/blusky.html#c4

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Lecture 3 Simultaneous molecular and aerosol scattering Since in the atmosphere

Lecture 3

Simultaneous molecular and aerosol scattering

Since in the atmosphere some

kind of aerosols always exists, both molecular and aerosol scattering goes on simultaneously.
It makes difficult to estimate real scattering quantitatively from the theoretically obtained equations. Instead some empirical or semi-empirical relations are used for the purpose. It was learnt that regularities of the scattering strongly depends upon the sizes of the particles, and, first of all, on the water droplet sizes.
Very important characteristics is so called scattering index Kλ.

Molecular scattering index

Aerosol scattering index

Prevails up to 3 – 4 km

Prevails above 3 – 4 km

depends on turbidity

depend on turbidity too

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Lecture 3 Optical depth of the atmosphere The volume extinction index

Lecture 3

Optical depth of the atmosphere

The volume extinction index summed up

through the whole atmosphere is termed optical depth of the atmosphere.

is the optical depth caused by molecular scattering, and is that caused by the total scattering.
In the ultraviolet area (λ<40μ) the molecular scattering makes the larger contribution in the total scattering, at λ=0,45 both contribution are almost equal, at λ>0,45 aerosol scattering contribution prevails.

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Lecture 3 What is the type of scattering below? http://en.wikipedia.org/wiki/Rayleigh_scattering The

Lecture 3

What is the type of scattering below?

http://en.wikipedia.org/wiki/Rayleigh_scattering


The beam of

a 5 mW green laser pointer is visible at night due to Rayleigh scattering and airborne dust.
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Lecture 3 Which type of scattering is presented? Рерих Н.К. “Величайшая и Святейшая Тангла “

Lecture 3

Which type of scattering is presented? Рерих Н.К. “Величайшая и Святейшая

Тангла “