The Diffraction of an Electromagnetic Wave by an Infinite Plane Grating PDF Download

Author: George Lee Baldwin
Publisher:
ISBN:
Category : Electric waves
Languages : en
Pages :

View

Book Description

Author: Jerry Shmoys
Publisher: Forgotten Books
ISBN: 9781333527273
Category : Science
Languages : en
Pages : 58

View

Book Description
Excerpt from Diffraction of Electromagnetic Waves by a Plane Wire Grating In the infrared region the grating constant is much greater than a wavelength. In this case one can assume that there is no interaction between the wires of the grating. The diffraction field is taken as the sum of diffrac tion fields of the individual wires of the grating, the field of any one wire calculated neglecting the other wiresl. The grating is assumed to consist of a set of infinite, parallel, equidistant, perfectly conducting circular cylinders. The set may be taken as finite, showing the background in addition to the various order spectra. Only the infinite grating will be considered here. This approach was extended somewhat by'twersky2 who included the first order interaction effects between neighboring elements in the case of an acoustic wave incident on a grat ing of perfectly rigid circular cylinders. 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.

Author: Jack Bazer
Publisher: Forgotten Books
ISBN: 9780267795680
Category : Mathematics
Languages : en
Pages : 58

View

Book Description
Excerpt from Diffraction of Electromagnetic Waves by a Circular Aperture in an Infinitely Conducting Plane Screen Of explicit formulas for the field everywhere in space and for the various field characteristics such as the aperture fields, far fields and transmission coefficients for all m Third, only the most elementary analysis is required in dealing with these representations; no use is made, for example. 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.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

View

Book Description
Attention is focused chiefly on the low frequency end of the spectrum where the product ka of the wave number k and the aperture radius a is small. Transverse electric and transverse magnetic modal excitation appropriate to the cylindrical geometry of the problem is assumed. New integral representa tions of the solution corresponding to incident fields of this kind are presented. These representations, which involve a pair of unknown functions, are designed so as to automatically satisfy Maxwell's equations, the boundary conditions, the radiation condition and all but one of the edge conditions. The unknown functions are shown to satisfy a pair of integrodifferential equations which follow directly from the representations by means of an elementary calculation. Convergent power series solutions of these integro-differential equations are readily obtained for small enough ka, when it is assumed merely that the excitation is sufficiently regular in the aperture. These results are employed to derive the first terms in the power series expansions of the far fields, the edge fields, the aperture fields and of the transmission coefficients. When the incident transverse electric and magnetic modes are specialized to those which occur in plane wave excitation these expressions are found to reduce to the well-known plane wave formulas obtained by other means. (Author).

Author: J. Bazer
Publisher:
ISBN:
Category :
Languages : en
Pages : 1

View

Book Description
Attention is focused chiefly on the low frequency end of the spectrum where the product ka of the wave number k and the aperture radius a is small. Transverse electric and transverse magnetic modal excitation appropriate to the cylindrical geometry of the problem is assumed. New integral representa tions of the solution corresponding to incident fields of this kind are presented. These representations, which involve a pair of unknown functions, are designed so as to automatically satisfy Maxwell's equations, the boundary conditions, the radiation condition and all but one of the edge conditions. The unknown functions are shown to satisfy a pair of integrodifferential equations which follow directly from the representations by means of an elementary calculation. Convergent power series solutions of these integro-differential equations are readily obtained for small enough ka, when it is assumed merely that the excitation is sufficiently regular in the aperture. These results are employed to derive the first terms in the power series expansions of the far fields, the edge fields, the aperture fields and of the transmission coefficients. When the incident transverse electric and magnetic modes are specialized to those which occur in plane wave excitation these expressions are found to reduce to the well-known plane wave formulas obtained by other means. (Author).

Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Radio
Languages : en
Pages : 1354

View

Book Description

Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Ionospheric radio wave propagation
Languages : en
Pages : 1400

View

Book Description

Author: Harry Alfred Shubert
Publisher:
ISBN:
Category : Electrostatics
Languages : en
Pages : 129

View

Book Description
The diffraction of a plane electromagnetic wave by an infinite grating of dielectric bars was obtained by two methods. One is an improved wave optics method, accounting for multiple reflections. The other is a more exact formulation as a boundary value problem, which is solved numerically. The results were compared with each other and with experiment. The diffraction is specified in terms of the amplitudes of the grating lobes, both the 'real' classical lobes, and the lobes with complex 'directions, ' corresponding to waves evanescent in the direction normal to the grating. The latter are found to be relatively negligible, as compared to those for a grating of perfect conducting bars, for example. This important result is discussed at length. Though the more exact analysis appears to work at least for grating constants of between zero and five wavelengths, the emphasis is placed on results for grating constants somewhat larger than a wavelength. These are used to make inferences about the action of zone phase plates, used as focussing devices, by considering the plates as generalized gratings and applying parageometric optics methods. (Author).

Author: Robert Joseph Spahn
Publisher:
ISBN:
Category : Diffraction
Languages : en
Pages : 114

View

Book Description

Author: A. T. de Hoop
Publisher:
ISBN:
Category :
Languages : en
Pages :

View

Book Description