Download or read book Uniqueness Theorem for a Surface Wave Problem in Electromagnetic Diffraction Theory written by Richard C. Morgan and published by . This book was released on 1963 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: A uniqueness theorem for the solution of a mixed boundary value problem which arises when an elec tromagnetic wave is incident upon a right angled wedge is proven. (Author).
Download or read book Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems written by Yu. G. Smirnov and published by CRC Press. This book was released on 2022-03-23 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the latest problems of modern mathematical methods for three-dimensional problems of diffraction by arbitrary conducting screens. This comprehensive study provides an introduction to methods of constructing generalized solutions, elements of potential theory, and other underlying mathematical tools. The problem settings, which turn out to be extremely effective, differ significantly from the known approaches and are based on the original concept of vector spaces 'produced' by Maxwell equations. The formalism of pseudodifferential operators enables to prove uniqueness theorems and the Fredholm property for all problems studied. Readers will gain essential insight into the state-of-the-art technique of investigating three-dimensional problems for closed and unclosed screens based on systems of pseudodifferential equations. A detailed treatment of the properties of their kernels, in particular degenerated, is included. Special attention is given to the study of smoothness of generalized solutions and properties of traces.
Download or read book Diffraction Theory written by V. M. Babich and published by Alpha Science International, Limited. This book was released on 2008 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title contains the detailed descriptions of the Sommerfeld-Malyuzhinets technique and the related mathematical aspects.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometrical Theory of Diffraction written by Vladimir Andreevich Borovikov and published by IET. This book was released on 1994 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the ideas underlying geometrical theory of diffraction (GTD) along with its relationships with other EM theories.
Download or read book Research Report written by Courant Institute of Mathematical Sciences. Division of Electromagnetic Research and published by . This book was released on 1964 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Electromagnetic Wave Diffraction by Conducting Screens written by A. S. Ilʹinskiĭ and published by . This book was released on 2022 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the latest problems of modern mathematical methods for three-dimensional problems of diffraction by arbitrary conducting screens. This comprehensive study provides an introduction to methods of constructing generalized solutions, elements of potential theory, and other underlying mathematical tools. The problem settings, which turn out to be extremely effective, differ significantly from the known approaches and are based on the original concept of vector spaces 'produced' by Maxwell equations. The formalism of pseudodifferential operators enables to prove uniqueness theorems and the Fredholm property for all problems studied. Readers will gain essential insight into the state-of-the-art technique of investigating three-dimensional problems for closed and unclosed screens based on systems of pseudodifferential equations. A detailed treatment of the properties of their kernels, in particular degenerated, is included. Special attention is given to the study of smoothness of generalized solutions and properties of traces.
Download or read book Advanced Theory of Diffraction by a Semi infinite Impedance Cone written by J.M.L Bernard and published by ALPHA SCIENCE INTERNATIONAL LIMITED. This book was released on 2014-07-11 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical problem concerning the diffraction by a semi-infinite cone with circular cross section for the Helmholtz equation, which has well-known solutions for Dirichlet and Neumann boundary conditions, is here considered for the more general boundary condition of constant impedance type. As previously stated by D.S. Jones, the problem then changes in complexity, beginning with the difficulty of obtaining the uniqueness of the solution. An exact analytical method is developed to reduce this problem to the determination of the solution of a well-posed non-oscillatory integral equation, of which the solution can be directly used to express the field in an integral form. Some generalization, in particular to the electromagnetic case, are also given.
Download or read book Communications on Pure and Applied Mathematics written by and published by . This book was released on 1963 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamentals of the Physical Theory of Diffraction written by Pyotr Ya. Ufimtsev and published by John Wiley & Sons. This book was released on 2007-02-09 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first complete and comprehensive description of the modern Physical Theory of Diffraction (PTD) based on the concept of elementary edge waves (EEWs). The theory is demonstrated with the example of the diffraction of acoustic and electromagnetic waves at perfectly reflecting objects. The derived analytic expressions clearly explain the physical structure of the scattered field and describe in detail all of the reflected and diffracted rays and beams, as well as the fields in the vicinity of caustics and foci. Shadow radiation, a new fundamental component of the field, is introduced and proven to contain half of the total scattered power.
Download or read book Diffraction of Electromagnetic Waves on Two Bodies written by Evgeniĭ Alekseevich Ivanov and published by . This book was released on 1959 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quarterly of Applied Mathematics written by and published by . This book was released on 1968 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Electromagnetic Radiation Scattering and Diffraction written by Prabhakar H. Pathak and published by John Wiley & Sons. This book was released on 2021-12-21 with total page 1156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electromagnetic Radiation, Scattering, and Diffraction Discover a graduate-level text for students specializing in electromagnetic wave radiation, scattering, and diffraction for engineering applications In Electromagnetic Radiation, Scattering and Diffraction, distinguished authors Drs. Prabhakar H. Pathak and Robert J. Burkholder deliver a thorough exploration of the behavior of electromagnetic fields in radiation, scattering, and guided wave environments. The book tackles its subject from first principles and includes coverage of low and high frequencies. It stresses physical interpretations of the electromagnetic wave phenomena along with their underlying mathematics. The authors emphasize fundamental principles and provide numerous examples to illustrate the concepts contained within. Students with a limited undergraduate electromagnetic background will rapidly and systematically advance their understanding of electromagnetic wave theory until they can complete useful and important graduate-level work on electromagnetic wave problems. Electromagnetic Radiation, Scattering and Diffraction also serves as a practical companion for students trying to simulate problems with commercial EM software and trying to better interpret their results. Readers will also benefit from the breadth and depth of topics, such as: Basic equations governing all electromagnetic (EM) phenomena at macroscopic scales are presented systematically. Stationary and relativistic moving boundary conditions are developed. Waves in planar multilayered isotropic and anisotropic media are analyzed. EM theorems are introduced and applied to a variety of useful antenna problems. Modal techniques are presented for analyzing guided wave and periodic structures. Potential theory and Green's function methods are developed to treat interior and exterior EM problems. Asymptotic High Frequency methods are developed for evaluating radiation Integrals to extract ray fields. Edge and surface diffracted ray fields, as well as surface, leaky and lateral wave fields are obtained. A collective ray analysis for finite conformal antenna phased arrays is developed. EM beams are introduced and provide useful basis functions. Integral equations and their numerical solutions via the method of moments are developed. The fast multipole method is presented. Low frequency breakdown is studied. Characteristic modes are discussed. Perfect for graduate students studying electromagnetic theory, Electromagnetic Radiation, Scattering, and Diffraction is an invaluable resource for professional electromagnetic engineers and researchers working in this area.
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1988 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometrical Theory of Diffraction for Electromagnetic Waves written by Graeme L. James and published by . This book was released on 1980 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The continuous development of the Geometrical Theory of Diffraction (GTD), from its conception in the 1950s, has now established it as a leading analytical technique in the prediction of high-frequency electromagnetic radiation and scattering phenomena. Consequently, there is an increasing demand for research workers and students in electromagnetic waves to be familiar with this technique. In this book they will find a thorough and clear exposition of the GTD formulation for vector fields. It begins by describing the foundations of the theory in canonical problems and then proceeds to develop the method to treat a variety of circumstances. Where applicable, the relationship between GTD and other high-frequency methods, such as aperture field and the physical optics approximation, is stressed throughout the text. The purpose of the book, apart from expounding the GTD method, is to present useful formulations that can be readily applied to solve practical engineering problems. To this end, the final chapter supplies some fully worked examples to demonstrate the practical application of the GTD techniques developed in the earlier chapters.
Download or read book Proceedings of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1966 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the material formerly published in even-numbered issues of the Bulletin of the American Mathematical Society.
Download or read book Indiana University Mathematics Journal written by and published by . This book was released on 1963 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt:
