Self-focusing of electromagnetic beams in semiconductors

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Abstract
The self-focusing of an electromagnetic beam in parabolic and nonparabolic semiconductors has been investigated in the presence of a longitudinal magnetic field. The wave equation has been solved in paraxial ray and WKB approximations by expanding the dielectric tensor as epsilon = epsilon f(EE* mod r=0)+ gamma r2. No restriction is put on the amount of nonlinearity and the effect of the self-induced inhomogeneity is taken into account. For intense beams and strong magnetic fields, the nature of self-focusing is considerably different from that predicted by earlier analyses. The self-made waveguide propagation is discussed in detail.