Scattering and Diffraction by Wedges 2: The Wiener-Hopf Solution - Advanced Applications

ISBN-13: 9781786306647 / Angielski / Twarda / 2020 / 240 str.

Vito G. Daniele; Guido Lombardi

Spis treści

Preface ixIntroduction xiiiChapter 4. Exact Solutions for Electromagnetic Impedance Wedges 14.1. Introduction 14.2. A list of the impedance wedge problems amenable to exact WH solutions 94.3. Cases involving classical WH equations 104.3.1. WH formulation of the diffraction by an impedance half-plane 114.3.2. Exact solutions of the diffraction by an impedance half-plane 184.3.3. Exact solution for the full-plane junction at skew incidence 374.3.4. Exact solution of the penetrable half-plane problem (the jump) 394.3.5. Exact solution of the right-angled wedge scattering problem 404.4. Exact solutions for impedance wedge problems with the GWHE form of section 3.5 - form #1 514.4.1. The WH solution of the Malyuzhinets problem 524.4.2. Diffraction at skew incidence ( alphao <> 0 ) by a wedge with a PEC and a PMC face 584.4.3. Diffraction at skew incidence ( alphao <> 0 ) by a wedge with a PEC face and the other face with diagonal Z^b with one null element 604.5. Exact solutions for the impedance wedge problems with the GWHEs written in an alternative form - form #2 624.5.1. Exact factorization with diagonal polynomial matrices P a,b (m) 644.5.2. Anisotropic symmetric impedance wedges at normal incidence 674.5.3. Non-symmetric wedges at normal incidence with commuting Pa and Pb 684.5.4. Non-symmetric wedges at skew incidence 704.5.5. Two particular wedge problems amenable to exact solutions 724.6. A general form of the GWHEs to study the arbitrary face impedance wedges - form #3 76Appendix 4.A. Some important formulas of decomposition for wedge problems 79Chapter 5. Fredholm Factorization Solutions of GWHEs for the Electromagnetic Impedance Wedges Surrounded by an Isotropic Medium 875.1. Introduction 875.2. Generalized Wiener-Hopf equations for the impenetrable wedge scattering problem of an electromagnetic plane wave at skew incidence 885.3. Fredholm factorization solution in the eta plane of GWHEs 925.4. Fredholm factorization solution in the w plane of GWHEs 955.5. Approximate solution of FIEs derived from GWHEs 975.6. Analytic continuation of approximate solutions of GWHEs 1015.7. Far-field computation 1035.8. Criteria for the examples 1105.9. Example 1: Symmetric isotropic impedance wedge at normal incidence with Ez polarization 1115.10. Example 2: Non-symmetric isotropic impedance wedge at normal incidence with Hz polarization and surface wave contribution 1195.11. Example 3: PEC wedge at skew incidence 1215.12. Example 4: Arbitrary impedance half-plane at skew incidence 1245.13. Example 5: Arbitrary impedance wedge at skew incidence 1265.14. Example 6: Arbitrary impedance concave wedge at skew incidence 1285.15. Discussion 132Appendix 5.A. Fredholm properties of the integral equation (5.3.1) 132Chapter 6. Diffraction by Penetrable Wedges 1356.1. Introduction 1356.2. GWHEs for the dielectric wedge at normal incidence (Ez-polarization) 1406.3. Reduction of the GWHEs for the dielectric wedge at Ez-polarization to Fredholm integral equations 1426.4. Analytic continuation for the solution of the dielectric wedge at Ez-polarization 1546.5. Some remarks on the Fredholm integral equations (6.3.24), (6.3.26) and numerical solutions 1596.6. Field evaluation in any point of the space 1626.7. The dielectric wedge at skew incidence 1656.8. Criteria for examples of the scattering by a dielectric wedge at normal incidence (Ez-polarization) 1766.9. Example: the scattering by a dielectric wedge at normal incidence (Ez-polarization) 1776.10. Discussion 186Appendix 6.A. Fredholm factorization applied to (6.3.2)-(6.3.5) 186Appendix 6.B. Source term etai (eta) 188References 199Index 205Summary of Volume 1 209

O autorze

Vito G.Daniele, Ecole Polytechnique of Turin, Italia Lombardi Guido, Ecole Polytechnique of Turin, Italia