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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Literature cited
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 173, pp. 6–19, 1988.
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Andronov, I.V. Asymptotics of the diffraction field on a smooth convex body in the neighborhood of the edge of a nonsingular caustic. J Math Sci 55, 1645–1656 (1991). https://doi.org/10.1007/BF01098202
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DOI: https://doi.org/10.1007/BF01098202