Special function related to the concave convex boundary problem of the diffraction theory

A Ya Kazakov

doi:10.1088/0305-4470/36/14/314

Special function related to the concave convex boundary problem of the diffraction theory

A Ya Kazakov

https://doi.org/10.1088/0305-4470/36/14/314

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Journal: Journal of Physics A: Mathematical and General	Publication Date: Mar 27, 2003
Citations: 7

Affiliation: Saint Petersburg State University of Aerospace and Instrumentation

#Behaviour In Different Domains #Domains Of Parameters + Show 8 more

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Abstract

The concave–convex boundary problem of the diffraction theory is studied. It corresponds to the scattering of a whispering gallery mode on the point of inflection of the boundary. A new special function related to this boundary problem is introduced and its particular properties are discussed. This special function is defined as a contour integral on the complex plane and its behaviour in different domains of parameters is considered.

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