Titlebook: Spectral Geometry and Inverse Scattering Theory; Huaian Diao,Hongyu Liu Book 2023 The Editor(s) (if applicable) and The Author(s), under e

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Stability for Inverse Electromagnetic Obstacle Scattering Problems,In this chapter, we deal with the stability issue for the inverse obstacle problem associated with the electromagnetic scattering. We follow the treatment in [.] on a quantitative path argument. We are concerned with the electromagnetic scattering problem, in the time-harmonic case, which is governed by the Maxwell systemas follows.

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,Geometric Structures of Helmholtz’s Transmission Eigenfunctions with General Transmission ConditionLet . be a bounded Lipschitz domain in ., .?=?2, 3, and .?∈?.(.) and .?∈?.(.) be possibly complex-valued functions. Consider the following interior transmission eigenvalue problem with a conductive boundary condition for ., .?∈?.(.)

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Huaian Diao,Hongyu LiuComprehensive treatment of inverse scattering problems; associates with acoustic, electromagnetic & elastic waves.Includes discussions on the geometrical inverse shape problems by minimal measurements

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Path Argument for Inverse Acoustic and Electromagnetic Obstacle Scattering Problems,nd . to represent the incident, scattered and total field, respectively, where .?=?.?+?. and . with . being the incident direction and .?>?0 being the wave number. Let . be an impenetrable obstacle, where . is a general compact set in . with an open connect complement ..