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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.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
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| 100 | 1 | |a Vesnik, Michael V. | |
| 245 | 1 | 4 | |a The method of the generalised eikonal : |b new approaches in the Diffraction Theory. |
| 260 | |a Berlin/Boston : |b De Gruyter, |c 2015. | ||
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (216 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter Studies in Mathematical Physics ; |v v. 29 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 500 | |a 6.3 Approach to derivation of formulas. | ||
| 520 | |a <!Doctype html public ""-//w3c//dtd html 4.0 transitional//en""> <html><head> <meta content=""text/html; charset=iso-8859-1"" http-equiv=content-type> <meta name=generator content=""mshtml 8.00.6001.23644""></head> <body> The diffraction theory describes scattering mechanism for waves of various physical nature, scattered on objects of different shapes and composed of different materials. Using the diffraction theory, one can study a number of important effects connected with wave propagation, and create objects with given properties. </body></html> | ||
| 504 | |a Includes bibliographical references and index. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Diffraction |x Mathematics. | |
| 650 | 6 | |a Diffraction |x Mathématiques. | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 758 | |i has work: |a The method of the generalised Eikonal (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFwcVGJvRYQ9vWPFXtQb7d |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Vesnik, Michael V. |t Method of the Generalised Eikonal : New Approaches in the Diffraction Theory. |d Berlin/Boston : De Gruyter, ©2015 |z 9783110311129 |
| 830 | 0 | |a De Gruyter studies in mathematical physics. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=2127876 |z Texto completo |
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