The multidimensional stationary-phase method for an asymptotic estimate of edge effects in the multiple Kirchhoff diffraction by curved surfaces

DOI10.1090/S0033-569X-2014-01365-3zbMath1310.78008OpenAlexW2002251705MaRDI QIDQ5496480

Scarpetta, Edoardo, Sumbatyan, Mezhlum A.

Publication date: 2 February 2015

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2014-01365-3

zbMATH Keywords

asymptotic analysisKirchhoff diffraction integral

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Waves and radiation in optics and electromagnetic theory (78A40) Asymptotic analysis in optics and electromagnetic theory (78M35)

Cites Work

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• The contribution of the edge effects in the multiple high-frequency Kirchhoff diffraction by plane surfaces
• An asymptotic estimate of the edge effects in the high frequency Kirchhoff diffraction theory for 3-D problems
• Stationary Phase in Two Dimensions
• Asymptotic Expansions of Double and Multiple Integrals Occurring in Diffraction Theory
• The stationary phase method and pseudodifferential operators
• Slot Coupling of Rectangular and Spherical Wave Guides

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