Abstract

Numerical computations in the framework of the generalized Lorenz–Mie theory require the evaluation of a new double set of coefficients $g_{n,\text{TM}}^m$ and $g_{n,\text{TE}}^m$ (n = 1, …, ∞; m = − n, … +n). A localized interpretation of these coefficients is designed to permit fast and accurate computations, even on microcomputers. When the scatter center is located on the axis of the beam, a previously published localized approximation for a simpler set of coefficients g_n is recovered as a special case. The subscript n in coefficients g_n and $g_n^m$ is associated with ray localization and discretization of space in directions perpendicular to the beam axis, while superscript m in coefficients $g_n^m$ is associated with azimuthal wave modes.

© 1990 Optical Society of America

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