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Some new developments on inverse scattering problems.

Zhang, Hai. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 106-109). / Abstract also in Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Preliminaries --- p.13 / Chapter 2.1 --- Maxwell equations --- p.13 / Chapter 2.2 --- Reflection principle --- p.15 / Chapter 3 --- Scattering by General Polyhedral Obstacle --- p.19 / Chapter 3.1 --- Direct problem --- p.19 / Chapter 3.2 --- Inverse problem and statement of main results --- p.21 / Chapter 3.3 --- Proof of the main results --- p.22 / Chapter 3.3.1 --- Preliminaries --- p.23 / Chapter 3.3.2 --- Properties of perfect planes --- p.24 / Chapter 3.3.3 --- Proofs --- p.33 / Chapter 4 --- Scattering by Bi-periodic Polyhedral Grating (I) --- p.35 / Chapter 4.1 --- Direct problem --- p.36 / Chapter 4.2 --- Inverse problem and statement of main results --- p.38 / Chapter 4.3 --- Preliminaries --- p.39 / Chapter 4.4 --- Classification of unidentifiable periodic structures --- p.41 / Chapter 4.4.1 --- Observations and auxiliary tools --- p.41 / Chapter 4.4.2 --- First class of unidentifiable gratings --- p.45 / Chapter 4.4.3 --- Preparation for finding other classes of unidentifiable gratings --- p.47 / Chapter 4.4.4 --- A simple transformation --- p.52 / Chapter 4.4.5 --- Second class of unidentifiable gratings --- p.53 / Chapter 4.4.6 --- Third class of unidentifiable gratings --- p.58 / Chapter 4.4.7 --- Excluding the case with L --- p.61 / Chapter 4.4.8 --- Summary on all unidentifiable gratings --- p.65 / Chapter 4.5 --- Proof of Main results --- p.65 / Chapter 5 --- Scattering by Bi-periodic Polyhedral Grating (II) --- p.69 / Chapter 5.1 --- Preliminaries --- p.70 / Chapter 5.2 --- Classification of unidentifiable periodic structures --- p.72 / Chapter 5.2.1 --- First class of unidentifiable gratings --- p.72 / Chapter 5.2.2 --- Preparation for finding other classes of unidentifiable gratings --- p.73 / Chapter 5.2.3 --- Studying of the case L --- p.76 / Chapter 5.2.4 --- Study of the case with L --- p.89 / Chapter 5.2.5 --- Study of the case with L --- p.95 / Chapter 5.2.6 --- Summary on all unidentifiable gratings --- p.104 / Chapter 5.3 --- Unique determination of bi-periodic polyhedral grating --- p.104 / Bibliography --- p.106

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326849
Date January 2009
ContributorsZhang, Hai., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 109 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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