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Hot-electron distribution function in high-Z materials
An analytic expression is obtained for the distribution of hot electrons as a function of distance into a cold material slab in which ..nu../sub E/ = ..gamma../sub E/v/sup -..cap alpha../ and ..nu..perpendicular to = ..gamma..v/sup -..beta../ are the assumed velocity dependences of the energy loss collision frequency and the scattering collision frequency and ..nu../sub E/ << ..nu..perpendicular to. For a time independent source, a time independent solution exists with a characteristic penetration length equal to (lambda/sub E/lambdaperpendicular to)/sup 1/2/ where lambda/sub E/ and lambdaperpendicular to are the mean-free-paths corresponding to ..nu../sub E/ and ..nu..perpendicular to. The distribution function at large distance from the source is proprtional to v/sub ..cap alpha..-3/ for v less than a critical velocity. For v greater than the critical velocity, the velocity dependence of the Maxwellian source reappears causing an exponential cutoff