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e geometrical inverse shape problems by minimal measurements.Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics. This book provides a detailed presentation of typical setup of inverse scattering管理员 发表于 2025-3-22 08:17:23
Introduction,tion that seeks to optimally combine theory with observations. In its abstract formulation, an inverse problem can be described as follows. Let (., ∥⋅∥.) denote the space of target objects (usually consisting of quantities or geometries) and (., ∥⋅∥.) denote the space of observation data. Let . denoConcrete 发表于 2025-3-22 10:02:14
Geometric Structures of Maxwellian Eigenfunctions,ongly motivated by our study of the inverse electromagnetic scattering problem. In this chapter, we follow the treatment in Diao et al. (Inverse Probl 37:035004, 2021). Further discussion on the inverse electromagnetic scattering problems can be found in Sect. .. We start with the necessary mathematPageant 发表于 2025-3-22 15:12:29
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 ..侧面左右 发表于 2025-3-22 19:12:16
,Geometric Structures of Maxwell’s Transmission Eigenfunctions and Applications,–2224 (2021)). Let . denote the frequency, and let ., respectively, signify the electric permittivity and magnetic permeability of a uniformly homogeneous space. Throughout, we let . and . denote, respectively, the electric and magnetic fields, which are .-valued functions. We first introduce the noPlatelet 发表于 2025-3-23 00:18:03
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