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References

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  1. V. F. Raskin, Appl. Opt. 20, 3290 (1981).
    [CrossRef] [PubMed]
  2. V. F. Raskin, Appl. Opt. 21, 3808 (1982).
    [CrossRef] [PubMed]
  3. K. S. Shifrin, Scattering of Light in a Turbid Medium (Nauka, Moscow, 1951;NASA Technical Translation TTF477, 1968).
  4. T. S. Cress, Altitudinal Variations of Aerosol Size Distributions over Northern Europe in Atmospheric aerosols, A. Deepak, Ed. (Spectrum Press, Hampton, Va., 1982).
  5. K. S. Shifrin, V. F. Raskin, “The Atmospheric Indicatrice, Corresponding to the Generalized Junge Distribution,” in Proceedings, Voyekou Main Geophysical Observatory (Leningrad, 1961), Vol. 105.
  6. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

1982

1981

Cress, T. S.

T. S. Cress, Altitudinal Variations of Aerosol Size Distributions over Northern Europe in Atmospheric aerosols, A. Deepak, Ed. (Spectrum Press, Hampton, Va., 1982).

Raskin, V. F.

V. F. Raskin, Appl. Opt. 21, 3808 (1982).
[CrossRef] [PubMed]

V. F. Raskin, Appl. Opt. 20, 3290 (1981).
[CrossRef] [PubMed]

K. S. Shifrin, V. F. Raskin, “The Atmospheric Indicatrice, Corresponding to the Generalized Junge Distribution,” in Proceedings, Voyekou Main Geophysical Observatory (Leningrad, 1961), Vol. 105.

Shifrin, K. S.

K. S. Shifrin, Scattering of Light in a Turbid Medium (Nauka, Moscow, 1951;NASA Technical Translation TTF477, 1968).

K. S. Shifrin, V. F. Raskin, “The Atmospheric Indicatrice, Corresponding to the Generalized Junge Distribution,” in Proceedings, Voyekou Main Geophysical Observatory (Leningrad, 1961), Vol. 105.

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

Appl. Opt.

Other

K. S. Shifrin, Scattering of Light in a Turbid Medium (Nauka, Moscow, 1951;NASA Technical Translation TTF477, 1968).

T. S. Cress, Altitudinal Variations of Aerosol Size Distributions over Northern Europe in Atmospheric aerosols, A. Deepak, Ed. (Spectrum Press, Hampton, Va., 1982).

K. S. Shifrin, V. F. Raskin, “The Atmospheric Indicatrice, Corresponding to the Generalized Junge Distribution,” in Proceedings, Voyekou Main Geophysical Observatory (Leningrad, 1961), Vol. 105.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

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Equations (29)

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f ( a ) = A a 4 a min < a < , f ( a ) = 0 0 < a < a min ,
f ( a ) = A a n a a min , f ( a ) = 0 0 < a < a min .
f ( a ) = B a 5 a min a < , f ( a ) = 0 0 < a < a min .
N = a min B d a a 5 = B 4 a min 4 ; B = 4 N a min 4 ; ā = a min a B a 5 d a a min a B a 5 d a = 4 3 a min ; a min = 3 4 ā ,
I ( β , a ) = L a 6 f 1 2 ( q ) ,
L = I 0 | α | 2 128 9 π 6 λ 4 ( 1 + cos 2 β ) ,
f 1 ( q ) = 3 q 3 ( sin q q cos q ) .
α = 3 4 π n 2 1 n 2 + 2 ,
q = m a m = 4 π λ sin β 2 ,
Ī ( β ) = a min I ( β , a ) f ( a ) d a = 9 B L m 6 a min sin 2 m a m a sin 2 m a + m 2 a 2 cos 2 m a a 5 d a ;
Ī ( β ) = 9 B L m 6 ( I 1 + I 2 + I 3 ) ,
I 1 = a min sin 2 m a a 5 d a , I 2 = m a min sin 2 m a a 4 d a , I 3 = m 2 a min cos 2 m a a 3 d a .
Ī ( β ) = 9 L N m 6 { u sin u 2 cos u 2 + u 2 4 + 1 2 } .
Ī ( β ) = I R ( ā ) ζ 5 ( u ) ,
I R ( ā ) = I 0 | α | 2 128 9 π 6 ā 6 λ 4 ( 1 + cos 2 β ) ,
ζ 5 ( u ) = 3 8 4 3 1 u 6 { u sin u 2 cos u 2 + u 4 4 + 1 2 } .
K p = 2 π a 2 { 1 1 δ sin 2 δ + 1 cos 2 δ 2 δ 2 } ,
δ = ( n 1 ) ρ = 2 π α λ ( n 1 ) = α a ; α = 2 π λ ( n 1 ) ; ρ = 2 π λ a ;
K ̅ ( λ ) = 2 π B a min { 1 1 α a sin 2 α a + 1 cos 2 α a 2 α 2 a 2 } d a ,
K ̅ ( λ ) = 2 π B ( I 1 + I 2 + I 3 + I 4 ) , I 1 = a min d a a 3 = 1 2 1 a min 2 , I 2 = 1 α a min sin 2 α a a 4 d a = 8 α 2 { sin υ 3 υ 3 + cos υ 6 υ 2 sin υ 6 υ + c i υ 6 }
υ = 2 α a min = 3 π λ ( n 1 ) ā , I 3 = 1 2 α 2 a min d a a 5 = 1 8 α 2 1 a min 4 , I 4 = 1 2 α 2 a min cos 2 α a a 5 d a = 2 α 2 { cos υ υ 4 sin υ 3 υ 3 cos υ 6 υ 2 + sin υ 6 υ 1 6 c i υ } .
K ̅ ( λ ) = 2 π N ā 2 θ 5 ( υ ) ,
θ 5 ( υ ) = 9 4 { 1 υ 2 [ cos υ υ 4 + sin υ υ 3 + 1 2 cos υ υ 2 + 1 2 c i υ 1 2 sin υ υ ] + 1 υ 2 } .
Ī n ( β ) = Ī n ( β ) K ̅ ( λ ) ,
Ī n ( β ) = 64 π 5 ā 4 | α | 2 9 λ 4 ζ 5 ( u ) θ 5 ( υ ) ( 1 + cos 2 β ) .
f ( a ) = c a 6 a min < a < ; f ( a ) = 0 0 < a < a min .
Ī n ( β ) = 64 π 5 ā 4 | α | 2 9 λ 4 ζ 6 ( u ) θ 6 ( υ ) ( 1 + cos 2 β )
ζ 6 ( u ) = 3 2 2 18 5 6 { 1 96 [ 2 ( 24 + 2 u 2 u 4 ) cos u 2 u ( 24 + u 2 ) sin u 2 u 5 siu + π u 5 ] + 1 2 + 5 24 u 2 } , u = 32 π ā 5 λ sin β 2 ; υ = 16 π 5 λ ( n 1 ) ā ;
θ 6 ( υ ) = 16 5 { 1 3 2 [ 1 5 sin υ υ + 1 15 cos υ 1 30 υ sin υ 1 30 υ 2 cos υ 1 30 υ 2 s i υ + cos υ 5 υ 2 + π υ 3 60 ] + 2 5 1 υ 2 } .

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