Transition between free-space Helmholtz equation solutions with plane sources and parabolic wave equation solutions.
Identifieur interne : 000735 ( Ncbi/Curation ); précédent : 000734; suivant : 000736Transition between free-space Helmholtz equation solutions with plane sources and parabolic wave equation solutions.
Auteurs : R. Mahillo-Isla [Espagne] ; M J Gon Alez-Morales ; C. Dehesa-MartínezSource :
- Journal of the Optical Society of America. A, Optics, image science, and vision [ 1520-8532 ] ; 2011.
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.
PubMed: 21643384
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