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Transition between free-space Helmholtz equation solutions with plane sources and parabolic wave equation solutions.

Identifieur interne : 000735 ( Ncbi/Merge ); précédent : 000734; suivant : 000736

Transition 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-Martínez

Source :

Journal of the Optical Society of America. A, Optics, image science, and vision [ 1520-8532 ] ; 2011.

RBID : pubmed:21643384

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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pubmed:21643384

Le document en format XML

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<author><name sortKey="Gon Alez Morales, M J" sort="Gon Alez Morales, M J" uniqKey="Gon Alez Morales M" first="M J" last="Gon Alez-Morales">M J Gon Alez-Morales</name>
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<front><div type="abstract" xml:lang="en">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.</div>
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<Abstract><AbstractText>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.</AbstractText>
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Transition between free-space Helmholtz equation solutions with plane sources and parabolic wave equation solutions.

Transition between free-space Helmholtz equation solutions with plane sources and parabolic wave equation solutions.

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Abstract

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