where crT = (8/3)ne2 = 6.65 x10 25 cm2 is the Thompson cross-section, and

G(z) = 1 + 2z + 2z(1 + z)exp(z)Ei(-z); z = (ph2/4Tph)ec2/EJ. (1.11.10)

The function G(z) depends little on z in the interval (0, the values of this function are within 0.7-1.0 (see Fig. 1.11.1).

Fig. 1.11.1. Special functions functions W and G versus z, and G* versus z for determining the expected spectrum of photon emission generated by the inverse Compton effect in interactions between accelerated electrons and isotropic background of thermal photons. The dimensionless variables z and z are determined by Eq. 1.11.10 and Eq. 1.11.22, respectively. According to Korchak and Ponomarenko (1966).

Fig. 1.11.1. Special functions functions W and G versus z, and G* versus z for determining the expected spectrum of photon emission generated by the inverse Compton effect in interactions between accelerated electrons and isotropic background of thermal photons. The dimensionless variables z and z are determined by Eq. 1.11.10 and Eq. 1.11.22, respectively. According to Korchak and Ponomarenko (1966).

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