Theory of Dechanneling

Abstract

Dechanneling theory was presented by Lindhard^l and developed by Beloshitsky and Kumakhov,² and Bonderup et al.,³ by making use of the diffusion equation for the transverse energy E _⊥,

$$ \frac{{\partial F(E_ \bot ,z)}} {{\partial z}} = \frac{\partial } {{\partial E_ \bot }}\left\{ {\frac{1} {2}\left\langle {\frac{{\Delta E_ \bot ^2 }} {{\Delta z}}} \right\rangle \frac{{\partial F(E_ \bot ,z)}} {{\partial E_ \bot }}} \right\} $$

((1))

where F(E _⊥, z) is the transverse energy density at a depth z and 〈ΔE ²_⊥ /Δz〉 is the transverse energy diffusion coefficient.