Full text: Actes du Symposium International de la Commission VII de la Société Internationale de Photogrammétrie et Télédétection (Volume 2)

It is known that the reflected component of solar ra- 
diation B, : 
Bo (9m, 9m) * Bx, 9 R nm Xo)X1« EL), (1) 
where B(«,9) -sky brightness in the direction of + (zenith 
angle) and ec (azimuth), R, -reflectivity of a surface 
element of the wind-ruffled sea, fnm -angle between the 
normal of wave surface element and the direction of incident beam, 
Xo,X,... x, -parameters characterizing optical properties of the 
sea surface under consideration. 
Due to the dynamic character of the wind-ruffled sea, 
the determination of the unique value of the radiation reflected 
from a fixed surface element of water is quite out of question. 
Unregularity of real waves necessitate to use the probability 
functions to characterize the process of reflection from the 
rough sea surface. The reflected component of upward radiance 
is considered a weighted average,the probability of reflection 
from a given solid angle being a weight ratio. The reflecting 
wave surface is described by the probability law providing us 
the distribution of the normals of wave surface elements. Hence, 
we have : 
db, = BH IR (Pam, Xe) X4 ++. M) P(«5,9,) do", ER 
where det: ade. 5. = _wnddd da (3) 
4 «O^ Dnm 4 con Sam 
Here sun and S -correspondingly the azimuth and zenith 
angle of the normal of wave surface element, P(«x,,9,) -the 
function characterizing the probability of direction of this 
normal, 2 Poss - angle between the direction of observation 
(my Sm and the variable direction ( ot, 4 ), do -solid 
angle of the sky surface element corresponding to the incident 
radiance B («,$);-du* -solid angle for the direction 
of normal («4,394 ) corresponding to the solid angle of incident 
radiation dw . 
An incident beam could be both the direct solar and sky 
radiation. Hence, 
B(«,8) » 5, («5,9») * B, («,3), (4) 
where B,(æ,9) -brightness of the sky, Bo (4.9»)-brightness of the 
visible Sun's disc, op and 9,  -correspondingly the azimuth 
and zenith angle of the centre of Sun’s disc. However, it’s better 
to. use,not...Bes :+.but- the. value of direct. solar radiation flux onto 
a horizontal. surface i. :E,.), which.data. is more. available.-As 
it is known , approximately 
B Fo , 
o wade 120 ) (5) 
where do -solid angle of the visible Sun’s disc. 
Taking into account the various directions of wave sur- 
face normals, we obtain 
an Vy 
= sun $ 
8.2] PB, my ngs se he Pe EL aedi. 
9 0 hws Yam 
(6) 
Ec (Pano? yp XL) Pldno Ina) 4 
  
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