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Unformatted text preview: s along the lineofsight. Then the optical depth for the lineofsight in question is r 2 = s 2 + r 2 = Z  ds = 2 2 Z  ds 1 ( s 2 + r 2 ) 2 As recommended use the transformation s = r tan to obtain = 2 2 r 3 2 Z / 2 d cos 2 = 2 2 r 3 2 The intensity therefore is I = S [1exp ( )] 2 1 1 c) I replace the solid angle integral by one over the surface area, d = (1 /D 2 ) dA . Then the Fux is F = 1 D 2 Z dr 2 r I = 2 j 2 D 2 Z dr r " 1exp 2 2 r 3 2 !# We may use as new integration variable. Then F = 2 j 2 3 D 2 2 2 ! 2 / 3 2 / 3 Z d 7 / 3 [1exp ( )] 2 / 3 So we can reproduce the quiet phase spectrum....
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 Fall '08
 RABE
 Physics, Work

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