Reflection of Electromagnetic Waves (Classic Reprint)


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Excerpt from Reflection of Electromagnetic Waves Bee - 0' C' assigning boundfiry'valueg to fir and (9 l o so as to reduce the V. 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.




On the Scattered Reflection of Electromagnetic Waves (Classic Reprint)


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Excerpt from On the Scattered Reflection of Electromagnetic Waves The non-specular reflection of plane electromagnetic waves of arbitrary polarization by certain perfectly conducting surfaces composed of either semicylindrical or hemispherical bosses on an infinite plane is analyzed. Solutions in terms of eigenfunctions for the problem of the single boss on an infinite plane and a plane wave at an arbitrary angle of incidence are derived and extended, subject to the single scattering hypothesis, to obtain the far field solutions for certain small finite patterned distributions and both small finite and infinite uniform random distributions of bosses small compared to the wavelength. The results for the various cases are then compared in the plane of incidence and similarities between the analogous expressions for the distributions of semicylinders and hemispheres ere noted. Expressions are obtained for the ratios of the reflected intensities and radial energy flux polarized parallel and perpendicular to the plane of incidences well as for the total intensity and radial energy flux for the case where the incident wave is unpolarized. It is found that for certain values of the parameters the reflected radiation may consist only of either the specular or the scattered contributions, while for other values of the parameters one of the scattered contributions, either parallel or perpendicular component may vanish. The results also indicate the occurrence of an extremum in the reflected radiation in the vicinity of the specular angle of reflection which for certain ranges of the parameters for the small finite distributions may be a minimum rather than a maximum. For these cases there is also some critical angle of incidence (not necessarily /2 or grazing incidence) for which the reflection at the specular angle is completely specular. The analogous distributions of cylinders and spheres are also considered. 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."




Reflection and Transmission of Electromagnetic Waves by Thin Curved Shells (Classic Reprint)


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Excerpt from Reflection and Transmission of Electromagnetic Waves by Thin Curved Shells In this paper the general problem of scattering of an arbitrary incident electromagnetic field by a conducting or non-conducting obstacle is investigated. The partial differential equations and boundary conditions satisfied by the field are transformed into a pair of inhomogeneous linear integro-differential equations for two vector functions. For an obstacle which is a thin shell of constant thickness h, a formal procedure for obtaining a solution of these equations as power series in h is given. The lowest order term in this solution is the incident field. An explicit expression for the next term is found in the form of a surface integral. This integral is evaluated approximately by an extension to surface integrals of the method of stationary phase. The scattered field, given by the terms so obtained, is that which is reflected, diffracted or transmitted by a thin shell. The physical properties of this solution are examined in detail, and satisfactory agreement is found with many results previously obtained by other methods. 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.




Numerical Calculations for Reflection of Electromagnetic Waves From a Lossy Magnetoplasma (Classic Reprint)


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Excerpt from Numerical Calculations for Reflection of Electromagnetic Waves From a Lossy Magnetoplasma As mentioned above, these are typical of the daytime D layer for both the N and v profiles. For this model, the reflected wave is also vertically polarized and thus the reflection coefficient is. 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.




Reflection and Refraction of Electromagnetic Waves by a Dielectric Slab Between Dielectric Media (Classic Reprint)


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Excerpt from Reflection and Refraction of Electromagnetic Waves by a Dielectric Slab Between Dielectric Media The method is also extended to cover the case of one surface deviating slightly from a plane. The only difference in this problem is that the boundary conditions of continuity are now to hold on a surface which is not quite plane. The method adopted is to consider the boundary conditions on the plane from which the actual surface deviates slightly. The effect of this approach is that the components tangential to this plane will now have known discontinuities across the plane; the formulation will otherwise be the same as for plane surfaces. 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.




Theory of Reflection of Electromagnetic and Particle Waves


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This book is written for scientists and engineers whose work involves wave reflec tion or transmission. Most of the book is written in the language of electromagnetic theory, but, as the title suggests, many of the results can be applied to particle waves, specifically to those satisfying the Schr6dinger equation. The mathematical connection between electromagnetic s (or TE) waves and quantum particle waves is established in Chapter 1. The main results for s waves are translated into quantum mechanical language in the Appendix. There is also a close analogy between acoustic waves and electromagnetic p (or TM) waves, as shown in Section 1-4. Thus the book, though primarily intended for those working in optics, microwaves and radio, will be of use to physicists, chemists and electrical engineers studying reflection and transmission of particles at potential barriers. The tech niques developed here can also be used by those working in acoustics, ocean ography and seismology. Chapter 1 is recommended for all readers: it introduces reflection phenomena, defines the notation, and previews (in Section 1-6) the contents of the rest of the book. This preview will not be duplicated here. We note only that applied topics do appear: two examples are the important phenomenon of attenuated total reflection in Chapter 8, and the reflectivity of multilayer dielectric mirrors in Chapter 12. The subject matter is restricted to linear classical electrodynamics in non-magnetic media, and the corresponding particle analogues.




On the Reflection and Transmission of Electric Waves by a Metallic Grating (Classic Reprint)


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Excerpt from On the Reflection and Transmission of Electric Waves by a Metallic Grating Thus, for a positive we find, having regard to the conditions to be satisfied for large values of a. 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.




An Electromagnetic Formulation for Treating Optical Reflections From Graded-Material Surfaces (Classic Reprint)


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Excerpt from An Electromagnetic Formulation for Treating Optical Reflections From Graded-Material Surfaces Exact solutions of Maxwell's equations, in terms of well-known functions, are available for only a few simple depth-dependent material geometries. In those cases the complex reflection coefficient is deter mined by solving Maxwell's equations for the fields within the inhomogeneous region, applying boundary conditions to match the interior fields with the exterior plane wave fields, and finally forming the ratio of the appropriate components of the incident and reflected plane wave fields. This procedure may not be easy or practicable to perform. Fortunately, the theory can be reformulated to provide the reflection coefficient directly as the solution of an ordinary differential equation, and thereby completely circumvent the field solutions. This approach is particularly convenient when the material properties are numerically specified. In the present formulation the entire space -00 z co) is filled with a medium whose properties are permitted to vany with coordinate 2 (fig. L). For sufficiently negative 2 the (exterior) medium is homogeneous and supports the incident and reflected plane waves. In the vicinity of z O the medium undergoes a transition which eventually develops, for sufficiently positive 2, into a second homogeneous region. The latter, representing the uniform interior of the medium, supports the transmitted plane wave. For the sake of generality both the permittivity (e) and the permeability (u) are treated as arbitrary, independent functions which for large positive and negative values of z approach constant values. Losses are included by treating the permittivity and permeability functions as complex entities in the frequency domain. 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.




Certain Transmission and Reflection Theorems (Classic Reprint)


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Excerpt from Certain Transmission and Reflection Theorems In this paper we treat certain theorems which are of interest in connection with the scattering and reflection of electromagnetic and acoustic waves. 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.




Classical Electromagnetic Radiation


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Newly corrected, this highly acclaimed text is suitable foradvanced physics courses. The authors present a very accessiblemacroscopic view of classical electromagnetics thatemphasizes integrating electromagnetic theory with physicaloptics. The survey follows the historical development ofphysics, culminating in the use of four-vector relativity tofully integrate electricity with magnetism.Corrected and emended reprint of the Brooks/Cole ThomsonLearning, 1994, third edition.