Abstract
In this series of papers, we propose a method for development of an approximate solution of the Maxwell equations in smoothly inhomogeneous anisotropic gyrotropic media with allowance for aberrations, spatial dispersion, and absorption. Evolution equations for wave beams are obtained, and a method for their numerical solution is developed. The relation of the quasi-optical evolution equation to the aberration-free equation for wave beams is shown, and a general solution to the latter equation is found. The applicability conditions for the aberration-free equation have been written explicitly. Methods of allowance for dissipative aberration effects within the framework of the nonaberrational approximation are described.
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