Asymptotics of the diffraction field on a smooth convex body in the neighborhood of the edge of a nonsingular caustic

Research output

Abstract

The canonical-problem method is used to construct an asymptotic expansion of the field in the neighborhood of the edge of a caustic which is conditionally divided into the Fresnel part and the background. Explicit expressions are obtained for terms that serve as the matching link between the Fresnel part and the background, and their analyticity is proven.

Original languageEnglish
Pages (from-to)1645-1656
Number of pages12
JournalJournal of Soviet Mathematics
Volume55
Issue number3
DOIs
Publication statusPublished - 1 Jun 1991

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Caustic
Convex Body
Diffraction
Analyticity
Asymptotic Expansion
Term
Background

Scopus subject areas

  • Mathematics(all)

Cite this

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title = "Asymptotics of the diffraction field on a smooth convex body in the neighborhood of the edge of a nonsingular caustic",
abstract = "The canonical-problem method is used to construct an asymptotic expansion of the field in the neighborhood of the edge of a caustic which is conditionally divided into the Fresnel part and the background. Explicit expressions are obtained for terms that serve as the matching link between the Fresnel part and the background, and their analyticity is proven.",
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