and W is t he Riemannian zeta-function. At y = 1.5, 2, 3, 4, and 5, the function f (/) takes the values 0.216, 0.410, 0.90, 1.79, and 3.62 respectively. Thus at high Eph2

the spectral power W((ph2)E(2Y)2 (similarly to the synchrotron radiation). The maximum of power is reached at

where <p(y)= 0.6, 0.71, 0.94, 1.16, and 1.38 at y = 1.5, 2, 3, 4 and 5 respectively.

It is of great interest to consider the case where all the thermal photons move isotropic (Korchak and Ponomarenko, 1966). In this case, the angle 9 between the radially moving primary photons and the scattered photons (moving along the sight line) is fixed. The cross section da of generation of photons with energy Eph2 and direction of the momentum within the solid angle dQ ph2 will then be da = dQ, ph2 JV Eph2 - V2 +VrM/ E ) (7kn^-dEphi ' i1-11-20)

npho " 4n where ak is determined from Eq. 1.11.1; dQ.E is the solid angle characterized the direction of the initial electron momentum; the rest designations are as above. After integrating Eq. 1.11.20 over Eph1 and 02 we shall obtain for relativistic electrons da((h2,E)= 3^dQPh2 ^ ik"2exp(-kz)G*(kz), (1.11.21)

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