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Author Pinel, Nicolas
Title Electromagnetic Wave Scattering from Random Rough Surfaces : Asymptotic Models
Imprint Somerset : John Wiley & Sons, Incorporated, 2013
©2013
book jacket
Edition 1st ed
Descript 1 online resource (162 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Series FOCUS Series
FOCUS Series
Note Cover -- Title Page -- Contents -- Preface -- Introduction -- CHAPTER 1. ELECTROMAGNETIC WAVE SCATTERING FROM RANDOM ROUGH SURFACES: BASICS -- 1.1. Introduction -- 1.2. Generalities -- 1.2.1. Maxwell equations and boundary conditions -- 1.2.2. Propagation of a plane wave (Helmholtz equation and plane wave) -- 1.2.3. Incident wave at an interface: polarization -- 1.3. Random rough surfaces: statistical description and electromagneticroughness -- 1.3.1. Statistical description of random rough surfaces -- 1.3.2. Specific case of sea surfaces -- 1.3.3. Electromagnetic roughness and Rayleigh roughness criterion -- 1.4. Scattering of electromagnetic waves from rough surfaces: basics -- 1.4.1. Presentation of the problem (2D/3D) -- 1.4.2. Huygens' principle and extinction theorem -- 1.4.3. Green functions (2D/3D) -- 1.4.4. Scattered powers and scattering coefficients -- CHAPTER 2. DERIVATION OF THE SCATTERED FIELD UNDER ASYMPTOTIC MODELS -- 2.1. Bibliography on existing models -- 2.1.1. Introduction -- 2.1.2. Rigorous models -- 2.1.3. Asymptotic models -- 2.1.4. General properties of scattering -- 2.1.5. A few details on the KA and the GO -- 2.2. Scattering in reflection and transmission under the KA with shadowing effect -- 2.2.1. KA in reflection and transmission with shadowing effect for 2D problems -- 2.2.2. Extension of the KA model to 3D problems -- 2.3. Scattering in reflection for 3D problems under various asymptotic models -- 2.3.1. Context and specific notations -- 2.3.2. The small perturbation model -- 2.3.3. The Kirchhoff approximation-high-frequency regime -- 2.3.4. The weighted curvature approximation -- 2.3.5. The small slope approximation -- 2.3.6. The local curvature approximation -- 2.3.7. The resonant curvature approximation -- 2.3.8. Validation of the different asymptotic numerical models for 2D problems
CHAPTER 3. DERIVATION OF THE NORMALIZED RADAR CROSS-SECTION UNDER ASYMPTOTIC MODELS -- 3.1. Derivation of incoherent normalized radar cross-section under the GO for 2D problems -- 3.1.1. Incoherent NRCS under the GO with shadowing effect for 2D problems -- 3.1.2. Calculation of the bistatic shadowing functions in reflection and transmission -- 3.2. General properties and energy conservation of the GO for 2D problems -- 3.2.1. General properties of the GO for 2D problems -- 3.2.2. Study of energy conservation under the GO for 2D problems -- 3.3. Scattering coefficients under the GO with shadowing effect for 3D problems -- 3.4. Energy conservation of the GO model for 3D problems -- 3.4.1. Case of a perfectly conducting lower medium -- 3.4.2. Case of a lossless dielectric lower medium -- 3.5. Scattering in reflection for 3D problems under various asymptotic models -- 3.5.1. Expression of the NRCS under the SPM1 -- 3.5.2. Expression of the NRCS under the GO -- 3.5.3. Expression of the NRCS under the SSA -- 3.5.4. Validation and comparison of the different asymptotic analytical models for 2D problems -- 3.5.5. Comparison between numerical and analytical asymptotic models for 3D problems -- APPENDIX 1. FAR-FIELD SCATTERED FIELDS UNDER THE METHOD OF STATIONARY PHASE -- APPENDIX 2. CALCULATION OF THE SCATTERING COEFFICIENTS UNDER THE GO FOR 3D PROBLEMS -- Bibliography -- Index
Electromagnetic wave scattering from random rough surfaces is an active, interdisciplinary area of research with myriad practical applications in fields such as optics, acoustics, geoscience and remote sensing. Focusing on the case of random rough surfaces, this book presents classical asymptotic models used to describe electromagnetic wave scattering. The authors begin by outlining the basic concepts relevant to the topic before moving on to look at the derivation of the scattered field under asymptotic models, based on the Kirchhoff-tangent plane, in order to calculate both the scattered field and the statistical average intensity. More elaborated asymptotic models are also described for dealing with specific cases, and numerical results are presented to illustrate these models. Comparisons with a reference numerical method are made to confirm and refine the theoretical validity domains. The final chapter derives the expressions of the scattering intensities of random rough surfaces under the asymptotic models. Its expressions are given for their incoherent contributions, from statistical calculations. These results are then compared with numerical computations using a Monte-Carlo process, as well as with experimental models, for sea surface backscattering. Contents 1. Electromagnetic Wave Scattering from Random Rough Surfaces: Basics. 2. Derivation of the Scattered Field under Asymptotic Models. 3. Derivation of the Normalized Radar Cross-Section under Asymptotic Models. APPENDIX 1. Far-Field Scattered Fields under the Method of Stationary Phase. APPENDIX 2. Calculation of the Scattering Coefficients under the GO for 3D Problems. About the Authors Nicolas Pinel worked as a Research Engineer at the IETR (Institut d'Electronique et de Télécommunications de Rennes) laboratory at Polytech Nantes (University of Nantes, France) before joining
Alyotech Technologies in Rennes, France, in July 2013. His research interests are in the areas of radar and optical remote sensing, scattering and propagation. In particular, he works on asymptotic methods of electromagnetic wave scattering from random rough surfaces and layers. Christophe Bourlier works at the IETR (Institut d'Electronique et de Télécommunications de Rennes) laboratory at Polytech Nantes (University of Nantes, France) and is also a Researcher at the French National Center for Scientific Research (CNRS) on electromagnetic wave scattering from rough surfaces and objects for remote sensing applications and radar signatures. He is the author of more than 160 journal articles and conference papers
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Pinel, Nicolas Electromagnetic Wave Scattering from Random Rough Surfaces : Asymptotic Models Somerset : John Wiley & Sons, Incorporated,c2013 9781118579152
Subject Boundary value problems.;Electromagnetic waves -- Scattering -- Mathematical models.;Surfaces (Physics) -- Mathematical models
Electronic books
Alt Author Boulier, Christophe
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