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
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326849 |
| Date | January 2009 |
| Contributors | Zhang, Hai., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 109 leaves ; 30 cm. |
| Rights | Use 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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