Inverse Obstacle and Diffraction Grating Scattering Problems

Huaian Diao and Hongyu Liu
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Huaian Diao: Jilin University, School of Mathematics
Hongyu Liu: City University of Hong Kong, Department of Mathematics

Chapter Chapter 4 in Spectral Geometry and Inverse Scattering Theory, 2023, pp 91-112 from Springer

Abstract: Abstract We first consider the inverse acoustic obstacle problem. Let k = ω ∕ c ∈ ℝ + $$k=\omega /c\in \mathbb {R}_+$$ be the wavenumber of a time harmonic wave with ω ∈ ℝ + $$\omega \in \mathbb {R}_+$$ and c ∈ ℝ + $$c\in \mathbb {R}_+$$ signifying the frequency and sound speed, respectively.

Date: 2023
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DOI: 10.1007/978-3-031-34615-6_4

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