Well-posedness of grating diffraction problems for plane wave incidence: explicit dependence on wavenumbers and incident angles

Linlin Zhu; Guanghui Hu

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arXiv · 2304.04204

Well-posedness of grating diffraction problems for plane wave incidence: explicit dependence on wavenumbers and incident angles

Linlin Zhu·Guanghui Hu

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Abstract

Suppose that a plane wave is incident onto an impenetrable grating profile of Dirichlet or Impedance type or a penetrable grating. The grating interface is assumed to be given by a Lipschitz function in two dimensions. We derive stability estimate of the grating diffraction problem via variational method with an explicit dependence of solutions on the incident wavenumber and incident angle.

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Linlin Zhu, Guanghui Hu. 2023-04-09. Well-posedness of grating diffraction problems for plane wave incidence: explicit dependence on wavenumbers and incident angles. https://arxiv.org/abs/2304.04204

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