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Transition between free-space Helmholtz equation solutions with plane sources and parabolic wave equation solutions
R Mahillo-Isla1, M J Gonźalez-Morales, C Dehesa-Martínez
1Teoría de la Señal y Comunicaciones e Ingeniería Telemática, University of Valladolid, Paseo de Belén, 15, 47011, Valladolid, Spain. raumah@tel.uva.es
Abstract:
The slowly varying envelope approximation is applied to the radiation problems of the Helmholtz equation with a planar single-layer and dipolar sources. The analyses of such problems provide procedures to recover solutions of the Helmholtz equation based on the evaluation of solutions of the parabolic wave equation at a given plane. Furthermore, the conditions that must be fulfilled to apply each procedure are also discussed. The relations to previous work are given as well.
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