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math.AP2022
Diffraction by a Right-Angled No-Contrast Penetrable Wedge: Analytical Continuation of Spectral Functions
Valentin D. Kunz, Raphael C. Assier
We study the problem of diffraction by a right-angled no-contrast penetrable wedge by means of a two-complex-variable Wiener-Hopf approach. Specifically, the analyticity properties…
math.AP2022★ 1 cited
A contribution to the mathematical theory of diffraction. Part I: A note on double Fourier integrals
Raphaël C. Assier, Andrey V. Shanin, Andrey I. Korolkov
We consider a large class of physical fields written as double inverse Fourier transforms of some functions of two complex variables. Such integrals occur very often in pra…