Download or read book Diffraction of Electromagnetic Waves by a Slit in a Conducting Plan Between Different Media Classic Reprint written by Josef Meixner and published by Forgotten Books. This book was released on 2018-05-04 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction of Electromagnetic Waves by a Slit in a Conducting Plan Between Different Media One of the classical diffraction problems is the problem of diffraction of electromagnetic waves by an infinitely long parallel slit in a perfectly conducting plane embedded in a homogeneous medium. The problem was first treated.by Sieger[i], and extensive numerical results are due especially to Morse and and Skavlem[3]. The general procedure is to expand in terms of Mathieu functions the incident, reflected, and diffracted fields, and then to evaluate explicitly the coef ficients of the series using the boundary conditions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Diffraction of Electromagnetic Waves by a Slit in a Conducting Plan Between Different Media written by Josef Meixner and published by . This book was released on 1954 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffraction of Electromagnetic Waves by a Slit in a Conducting Plane Between Different Media written by Josef Meixner and published by . This book was released on 1954 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffraction by a Wide Slit Classic Reprint written by Samuel N. Karp and published by . This book was released on 2015-08-04 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction by a Wide Slit Since there already exist numerous investigations of the diffraction of scalar waves by a slit, the addition of another item to the literature requires some explanation. The purpose of the present note is to give an elementary and intuitive account of the diffraction by an infinite conducting plane with a slit. We consider specifically the case of electromagnetic waves whose electric field possesses only a single component, namely a component in the direction parallel to the edges of the slit. The results are also applicable to the acoustic problem, for soft screens. It is found that the results for large slit widths can be expressed approximately in terms of simple well-known functions and that these approximations are more accurate than those conveniently obtainable by previous procedures. The procedures that have hitherto been proposed and applied to this problem fall into three categories. First, there is the exact theory based upon separation of variables in elliptic coordinates. This procedure is useful only when the ratio of slit width to wavelength is small (that is, say, smaller than 3), Second, there are approximation procedures that are valid when the ratio of slit width to wavelength is small. Such procedures, based on the solution of related electrostatic problems, were indicated by Rayleigh and have been Ca developed further by, e.g., Sommerfeld, Groschwitz and Honl, and Bouwkamp. Finally, there are approximate treatments valuable particularly for large ratios of slit widths to wavelength; among these are calculations based on Kirchoff's procedures and their various modifications, and the work of Schwarzschild. A calculation related to that of Schwarzschild has recently been published by Fox in connection with diffraction by a pulse. It should be noted that variational techniques may be applied in conjunction with any of the approximate methods just mentioned. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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 Geometrical Theory of Diffraction for Electromagnetic Waves written by Graeme L. James and published by IET. This book was released on 1986 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the book, apart from expounding the Geometrical Theory of Diffraction (GTD) method, is to present useful formulations that can be readily applied to solve practical engineering problems.
Download or read book Diffraction of a Skew Plane Electromagnetic Wave by an Absorbing Right Angled Wedge Classic Reprint written by Frank Karal and published by Forgotten Books. This book was released on 2018-02-09 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction of a Skew Plane Electromagnetic Wave by an Absorbing Right-Angled Wedge Considerably more difficult due to the vectorial character of the boundary condi tions. In Section 3 the procedure in our vectorial problem is described more fully, with an explanation of how the method of separation of variables plus proper consideration of edge behavior leads to a unique solution under conditions which are physically meaningful. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book The Diffraction of Electromagnetic Waves by Dielectric Steps in Waveguides written by Erlind G. Royer and published by . This book was released on 1970 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of determining the scattered electromagnetic fields when a dielectric step discontinuity is placed in a waveguide is considered here. The case of a dielectric step which is semi-infinite in extent is presented first. Althouth an exact method of solution is not known at this time, it is shown that the recently introduced modified residue calculus technique can be successfully extended to obtain a very accurate approximate solution of the semi-infinite dielectric step. A unique advantage of this method of solution is that the degree of accuracy obtained is independent of the relative permittivity of the dielectric material and of the frequency. Thus, very high permittivities of frequencies can be considered without an attendant increase in computational complexity. Numerical data are presented which confirm the accuracy of the solutions obtained. The accurate determination of the total field is easily accomplished using the method of this study and is demonstrated. A further extension of the modified residue calculus method yields the approximate solution for the case of a finite dielectric step. This extension also enjoys the advantages mentioned above. The phase shifting abilities of the finite step are demonstrated by calculations which show the effects of varying the step height and the step length. (Author).
Download or read book Diffraction of electromagnetic waves by two conducting parallel half planes written by Monroe George Cheney and published by . This book was released on 1950 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffraction by a Tipped Wedge written by Sam Karp and published by Forgotten Books. This book was released on 2018-02-07 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction by a Tipped Wedge: With Applications to Blunt Edges The problem of the diffraction of electromagnetic waves by a cylindrically tipped perfectly conducting wedge under plane wave or line source excitation is treated. Mathematically, this reduces to the problem of finding a solution of the two-dimensional time-reduced wave equation which either vanishes or has a vanishing normal derivative on the surface of the tipped wedge depending upon whether the electric vector or the mag netic vector is normal to the plane of incidence. Series representations of the solutions are obtained in all cases in terms of the eigenfunctions of the Simple wedge problem (where the radius of the cylindrical tip is zero). The far field expressions for the case of the cylindrically tipped wedge under plane wave excitation are obtained for both polarizations. Graphs of the net scattered amplitude are given for the special case of normal incidence on a half-plane with a cylindrical tip of radius a a k-l. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book The Diffraction of Oblique Surface Waves by a Right Angle Bend Classic Reprint written by Samuel N. Karp and published by . This book was released on 2017-01-20 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffraction of a Hydromagnetic Wave by a Half Plane Classic Reprint written by Clifford S. Gardner and published by Forgotten Books. This book was released on 2018-01-19 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction of a Hydromagnetic Wave by a Half Plane In this paper we solve for the diffracted wave which results when a weak hydromagnetic shock impinges on a rigid perfectly conducting half plane. We assume a medium which is a compressible perfect fluid (no heat conduction, no viscosity) and a perfect electrical conductor. In the undisturbed state the fluid is at rest and is permeated by a constant magnetic field B6. The fluid extends through all space around an obstacle, in the shape of a half plane, made of a rigid perfectly conducting material. Then, possibly due to a distant disturbance, a weak plane discontinuous wave or weak shock propagates through the fluid. We are interested in the diffracted wave caused by the interference of the half plane obstacle after the incident wave arrives. We assume that the amplitude of the disturbance of the fluid is small, so that it is appropriate to employ the linearized equations of motion. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book The Scattering and Diffraction of Waves written by Ronold Wyeth Percival King and published by . This book was released on 1959 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffraction of Electromagnetic Waves by an Aperture in an Infinite Plane Conducting Screen written by Howard How Chung Chang and published by . This book was released on 1955 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffraction of Electromagnetic Waves at Microwave Frequencies written by Jules A. Boucher and published by . This book was released on 1956 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Problems of Wave Diffraction and Propagation No 7 written by Ė. M. Gi︠u︡nninen and published by . This book was released on 1969 with total page 252 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.
