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The method of the generalised eikonal : new approaches in the Diffraction Theory.
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| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin/Boston :
De Gruyter,
2015.
©2015 |
| Colección: | De Gruyter studies in mathematical physics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; Contents; Introduction; 1 Method of Generalized Eikonal; 1.1 Integral representation of solution; 1.1.1 Statement of the problem; 1.1.2 Construction of "auxiliary" domain and generalized geometrical optics function; 1.1.3 Boundary conditions; 1.1.4 Features of the solution; 1.2 Asymptotic calculation of contour integrals by method of stationary phase; 1.2.1 General solution; 1.2.2 Solution of diffraction problem for plane and cylindrical waves by the method of generalized eikonal; 2 Solution of Two-dimensional Problems by the Method of Generalized Eikonal; 2.1 Introduction.
- 2.2 Diffraction by half-plate2.2.1 Solution on the given curve rd0; 2.2.2 Power normalization; 2.2.3 Solution by method of successive diffractions (MSD); 2.2.4 Results of calculations; 2.3 Diffraction by a truncated wedge; 2.3.1 Schwarz-Christoffel integral; 2.3.2 Features of solution for half-plate; 2.3.3 Solution by method of successive diffractions; 2.3.4 Principles for the construction of heuristic solutions for diffraction by truncated wedge; 2.3.5 Solution with generalized Fresnel integral; 2.3.6 Numerical results; 2.3.7 Analysis of solutions.
- 3 Application of Two-dimensional Solutions to Three-dimensional Problems3.1 Integrals over elementary strips; 3.1.1 Statement of the diffraction problem; 3.1.2 Infinite cylinder; 3.1.3 Far zone condition; 3.1.4 Fragment of cylindrical surface; 3.1.5 Polygonal edge; 3.2 Application of two-dimensional solutions to three-dimensional problems; 3.2.1 Physical optics solution for diffraction by a plane scatterer. Properties of contour integral; 3.2.2 Rigorous 3D formulas; 3.2.3 Comparison with 2D case; 3.2.4 Total current diffraction coefficients.
- 4 Diffraction by a Plane Perfectly Conducting Angular Sector (Heuristic Approach)4.1 Statement of the problem; 4.2 Solution in physical optics approximation; 4.2.1 Contour integral with enforced far zone condition; 4.2.2 Inputs of edges and vertices; 4.3 Solution in EECM approximation; 4.3.1 Rigorous solution for oblique incident wave; 4.3.2 Substitution of polarization components of diffraction coefficients; 4.4 Modified EECM; 4.5 Applicability limits of heuristic approaches; 4.5.1 Solution algorithm; 4.5.2 Applicability limits of heuristic solutions.
- 5 Propagation of Radio Waves in Urban Environment (Deterministic Approach)5.1 Relevance of the problem; 5.2 Specifics of radio wave propagation in urban environment; 5.3 Design formulas; 5.3.1 Zone significant for radio wave propagation; 5.3.2 Reference solutions; 5.3.3 Mutual coupling between two antennas; 5.3.4 Energy relationships; 5.3.5 Fresnel zone; 5.3.6 Derivation of heuristic formulas; 5.3.7 Solution algorithm; 6 Analytical Heuristic Solution for Wave Diffraction by a Plane Polygonal Scatterer; 6.1 Introduction; 6.2 Problem formulation for elastic wave diffraction.