Sv 1 Uv Bv Uv Jv Complete frequency redistribution In the case of complete redistribution in frequency, R(v , v) = $(v )4>(v), and we have Non-isotropic coherent redistribution The volume emission for the case of coherent scattering in frequency but non-isotropic redistribution in photon direction, as defined by the angle ê between incoming and outgoing photon direction, is

where the phase function p(cosê) = ¡j, ), ¡i = cos 0, 0 is the zenith angle and $ is the azimuth angle in polar co-ordinates, and cosê = jj +(1 - J2)1/2(1 - ¡J2)1/2 cos($ - $). (3.69)

The source function can then be written as

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