05315nam 2200745 a 450 991082605800332120240401194640.0978111864868111186486849781118648674111864867697811186486981118648692(CKB)2550000001111817(EBL)1434096(OCoLC)862047233(SSID)ssj0001034931(PQKBManifestationID)11586781(PQKBTitleCode)TC0001034931(PQKBWorkID)11015878(PQKB)11713127(MiAaPQ)EBC1434096(Au-PeEL)EBL1434096(CaPaEBR)ebr10748694(CaONFJC)MIL511709(Perlego)999973(EXLCZ)99255000000111181720130531d2013 uy 0engurcn|||||||||txtccrMethod of moments for 2d scattering problems basic concepts and applications /Christophe Bourlier, Nicolas Pinel, Gildas Kubické1st ed.Hoboken, N.J. ISTE Ltd/John Wiley and Sons Inc20131 online resource (162 p.)Focus waves series,2051-2481Description based upon print version of record.9781848214729 1848214723 9781299804586 1299804586 Includes bibliographical references and index.Cover; Title Page; Contents; Preface; Introduction; Chapter 1. Integral Equations For A Single Scatterer: Method Of Moments And Rough Surfaces; 1.1. Introduction; 1.2. Integral equations; 1.2.1. TE and TM polarizations and boundary conditions; 1.2.2. Electric and magnetic currents for a 2D problem; 1.2.3. Huygens' principle and extinction theorem; 1.2.4. Radar cross-section (RCS); 1.2.5. Normalized radar cross-section (NRCS); 1.3. Method of moments with point-matching method; 1.4. Application to a surface; 1.4.1. The Dirichlet boundary conditions; 1.4.2. The Neumann boundary conditions1.4.3. General case 1.4.4. Impedance boundary condition; 1.5. Forward-Backward (FB) method; 1.6. Random rough surface generation; 1.6.1. Statistical parameters; 1.6.2. Generation of a random profile; 1.6.3. Simulations; 1.6.4. Conclusion; Chapter 2. Validation of the Method of Moments for a Single Scatterer; 2.1. Introduction; 2.2. Solutions of a scattering problem; 2.3. Comparison with the exact solution of a circular cylinder in free space; 2.3.1. Solution of the Helmholtz equation; 2.3.2. Dirichlet boundary conditions; 2.3.3. Neumann boundary conditions; 2.3.4. Dielectric cylinder2.3.5. MoM for an elliptical cylinder 2.3.6. Numerical comparisons for a circular cylinder; 2.3.7. Conclusion; 2.4. PO approximation; 2.4.1. Formulation; 2.4.2. Applications; 2.4.3. Sea-like surface; 2.5. FB method; 2.6. Conclusion; Chapter 3. Scattering from two Illuminated Scatterers; 3.1. Introduction; 3.2. Integral equations and method of moments; 3.2.1. Integral equations for two scatterers; 3.2.2. Method of moments for two scatterers; 3.2.3. Method of moments for P scatterers; 3.3. Efficient inversion of the impedance matrix: E-PILE method for two scatterers3.3.1. Mathematical formulation 3.3.2. Numerical results; 3.4. E-PILE method combined with PO and FB; 3.4.1. E-PILE hybridized with FB; 3.4.2. E-PILE hybridized with PO; 3.5. Conclusion; Chapter 4. Scattering from two Scatterers Where Only one is Illuminated; 4.1. Introduction; 4.2. Integral equations and method of moments; 4.2.1. Integral equations; 4.2.2. Method of moments; 4.2.3. Case for which scatterer 2 is perfectly conducting; 4.2.4. Numerical results; 4.3. Efficient inversion of the impedance matrix: PILE method; 4.3.1. Mathematical formulation; 4.3.2. Numerical results4.4. PILE method combined with FB or PO4.4.1. PILE hybridized with FB; 4.4.2. PILE hybridized with PO; 4.5. Conclusion; Appendix. Matlab Codes; Bibliography; IndexElectromagnetic wave scattering from randomly rough surfaces in the presence of scatterers is an active, interdisciplinary area of research with myriad practical applications in fields such as optics, acoustics, geoscience and remote sensing.In this book, the Method of Moments (MoM) is applied to compute the field scattered by scatterers such as canonical objects (cylinder or plate) or a randomly rough surface, and also by an object above or below a random rough surface. Since the problem is considered to be 2D, the integral equations (IEs) are scalar and only the TE (transverse electFocus series in waves.Electromagnetic wavesScatteringMathematical modelsElectromagnetic wavesScatteringMathematical models.530.141Bourlier Christophe859622Pinel Nicolás1710908Kubické Gildas1721191International Society for Technology in Education.MiAaPQMiAaPQMiAaPQBOOK9910826058003321Method of moments for 2d scattering problems4120501UNINA