Plane Wave Diffraction by a Thin Dielectric Wedge PDF Download
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Author: I. D. King Publisher: ISBN: Category : Electromagnetic waves Languages : en Pages : 28
Book Description
The diffraction of a plane electromagnetic wave by a thin dielectric wedge is studied using a set of approximate boundary conditions together with the Wiener-Hopf technique. An integral expression for the scattered field is derived and the diffracted far field obtained by application of the method of steepest descents. The associated GTD diffraction coefficients are exact to order O(A2) where 2A is the (small) wedge angle. The results are useful for wedges for which ln2--1 l A “1, where n is the refractive index of the dielectric relative to that of the surrounding medium. (Author).
Author: I. D. King Publisher: ISBN: Category : Electromagnetic waves Languages : en Pages : 28
Book Description
The diffraction of a plane electromagnetic wave by a thin dielectric wedge is studied using a set of approximate boundary conditions together with the Wiener-Hopf technique. An integral expression for the scattered field is derived and the diffracted far field obtained by application of the method of steepest descents. The associated GTD diffraction coefficients are exact to order O(A2) where 2A is the (small) wedge angle. The results are useful for wedges for which ln2--1 l A “1, where n is the refractive index of the dielectric relative to that of the surrounding medium. (Author).
Author: Y. M. Hwang Publisher: ISBN: Category : Antennas (Electronics) Languages : en Pages : 102
Book Description
The diffraction of an electromagnetic wave by a perfectly-conducting right-angled wedge with one surface covered by a dielectric slab or absorber is considered. The effect of the coated surface is approximated by a uniform surface impedance. The solution of the normally incident electromagnetic problem is facilitated by introducing two scalar fields which satisfy a mixed boundary condition on one surface of the wedge and a Neumann of Dirichlet boundary condition on the other. A functional transformation is employed to simplify the boundary conditions so that eigenfunction expansions can be obtained for the resulting Green's functions. The eigenfunction expansions are transformed into the integral representations which then are evaluated asymptotically by the modified Pauli-Clemmow method of steepest descent. A far zone approximation is made to obtain the scattered field from which the diffraction coefficient is found for scalar plane, cylindrical or sperical wave incident on the edge. With the introduction of a ray-fixed coordinate system, the dyadic diffraction coefficient for plane or cylindrical EM waves normally indicent on the edge is reduced to the sum of two dyads which can be written alternatively as a 2 X 2 diagonal matrix.
Author: Prabhakar H. Pathak Publisher: John Wiley & Sons ISBN: 1119810531 Category : Science Languages : en Pages : 1156
Book Description
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.
Author: J.M.L Bernard Publisher: ALPHA SCIENCE INTERNATIONAL LIMITED ISBN: 1783320281 Category : Mathematics Languages : en Pages : 170
Book Description
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.
Author: Dean G. Duffy Publisher: CRC Press ISBN: 9780849373749 Category : Mathematics Languages : en Pages : 504
Book Description
For most scientists and engineers, the only analytic technique for solving linear partial differential equations is separation of variables. In Transform Methods for Solving Partial Differential Equations, the author uses the power of complex variables to demonstrate how Laplace and Fourier transforms can be harnessed to solve many practical, everyday problems experienced by scientists and engineers. Unlike many mathematics texts, this book provides a step-by-step analysis of problems taken from scientific and engineering literature. Detailed solutions are given in the back of the book. This essential text/reference draws from the latest literature on transform methods to provide in-depth discussions on the joint transform problem, the Cagniard-de Hoop method, and the Wiener-Hopf technique. Some 1,500 references are included as well.
Author: I. D. King
Author: I. D. King
Author: 
Author: 
Author: Y. M. Hwang
Author: John I. Makhoul
Author: R. C. Rudduck
Author: Prabhakar H. Pathak
Author: Thomas B. A. Senior
Author: J.M.L Bernard
Author: Dean G. Duffy