Download or read book Diffraction by an Aperture I Classic Reprint written by Joseph B. Keller and published by . This book was released on 2015-08-04 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction by an Aperture I The diffraction of a wave by an aperture of any shape in a thin screen is treated by a new method. This method is called "the geometrical theory of diffraction," because it is an extension of geometrical optics which accounts for diffraction. In this method new rays - called diffracted rays - are introduced. They are produced when an incident ray hits the edge of the aperture, and they satisfy the "law of diffraction." A field is associated with each ray in a quantitative way, by means of the optical principles of phase variation and energy conservation. In addition "diffraction coefficients" are introduced to relate the field on a diffracted ray to that on the corresponding incident ray. By this method a simple formula is field in the aperture or the far by any aperture. By means of this formula the field in the aperture or the far field diffraction pattern can be found. In addition the transmission cross section of the aperture can be determined. Explicit formulas and numerical results are given for slits and circular apertures. The accuracy of the results increases as the wavelength decreases, but they are even useful for wavelengths as large as the aperture dimensions. 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 by an Aperture II Classic Reprint written by J. B. Keller and published by Forgotten Books. This book was released on 2017-11-20 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction by an Aperture II The geometrical theory of diffraction used in Part I involves the concept of a diffracted ray. It enables us to express the singly diffracted field explicitly in terms of geometrical quantities. Similar geometrical expressions can also be obtained for the multiply diffracted field. In the Kirchhoff method and its modifications, on the other hand, the diffracted field is expressed as a double integral over the aperture. We will evaluate the double integrals given by all these methods asymptotically for small wavelengths l. We will find that each one leads to the formula deduced in Part I for the singly edge-diffracted field, with an appropriate diffraction coefficient in each case. This fact supports the theory used in Part I. Only the Braunbek method yields exactly the same edge diffraction coefficient, and therefore the same singly edge-diffracted field, as is obtained in Part I. This agreement between the Braunbek method and the geometrical theory of diffraction lends support to both of these methods, and shows that the simpler geometrical theory can be used instead of the more complicated Braunbek method. 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 MULTIPLE DIFFRACTION BY AN APE written by Samuel N. Karp and published by Forgotten Books. This book was released on 2016-09-05 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Multiple Diffraction by an Aperture in a Hard Screen The present authors have previously presented two different methods for calculating the field diffracted when a wave hits an aperture in a thin Both methods were applied to soft screens, i.e. Screens on which the wave function vanishes. Some results were also given in [l] for hard screens on which the normal derivative of the wave function vanishes, but interaction between various parts of the edge of the screen. Was not taken into account. In the present article these two methods are extended to yield more complete results for hard screens, in that interaction is taken into account. 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 Scalar Waves by a Circular Aperture II Classic Reprint written by Jack Bazer and published by Forgotten Books. This book was released on 2018-01-25 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction of Scalar Waves by a Circular Aperture II This work deals with the problem of diffraction by coaxial parallel discs. Jones treats the rigid disc problem which, by virtue of Babinet's principle. 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 Scalar Waves by a Circular Aperture Classic Reprint written by Jack Bazer and published by Forgotten Books. This book was released on 2016-09-09 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction of Scalar Waves by a Circular Aperture Using the so-called dual integral-equation approach, B. Noble finds it possible to treat both slit and aperture problems simultaneously. 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 by a Circular Aperture at High Frequencies Classic Reprint written by Harold Levine and published by Forgotten Books. This book was released on 2016-09-09 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction by a Circular Aperture at High Frequencies The mathematical analysis of diffraction phenomena has been significantly extended in recent years. A variety of methods, new and old, have proved their worth in enlarging the roster of problems amenable to calculation, particularly as regards configurations of geometrical complexity. It should be remarked, however, that the form of solutions thus Obtained may not always be well suited for describing certain features of the scattering problem, such as the high frequency or shortawavelength characteristics. The latter can be recognized in the zerodwavelength (or geometrical optics) limit, although without the inter esting distinction that is manifest at long wavelengths, say, between like scatterers of different composition. To exhibit a corresponding difference in the scattering at high frequencies one must refine the geometrical optics approxi mation. 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 Circular Aperture in an Infinitely Conducting Plane Screen Classic Reprint written by Jack Bazer and published by Forgotten Books. This book was released on 2018-02-08 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Classical and Modern Diffraction Theory written by Kamill Klem-Musatov and published by SEG Books. This book was released on 2016-06-30 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing geophysicists with an in-depth understanding of the theoretical and applied background for the seismic diffraction method, “Classical and Modern Diffraction Theory” covers the history and foundations of the classical theory and the key elements of the modern diffraction theory. Chapters include an overview and a historical review of classical theory, a summary of the experimental results illustrating this theory, and key principles of the modern theory of diffraction; the early cornerstones of classical diffraction theory, starting from its inception in the 17th century and an extensive introduction to reprinted works of Grimaldi, Huygens, and Young; details of the classical theory of diffractions as developed in the 19th century and reprinted works of Fresnel, Green, Helmholtz, Kirchhoff, and Rayleigh; and the cornerstones of the modern theory including Keller’s geometrical theory of diffraction, boundary-layer theory, and super-resolution. Appendices on the Cornu spiral and Babinet’s principle are also included.

Download or read book On a Fredholm Equation in Diffraction Theory Classic Reprint written by Irving J. Epstein and published by Forgotten Books. This book was released on 2018-02-21 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On a Fredholm Equation in Diffraction Theory We consider here the problem of the diffraction of a plane scalar wave normally incident on a plane screen with a circular aperture. Let u be the solution of Au K2u O, which represents the diffracted wave, and let p, 9 be polar coordinates on the screen such that p 0 represents the center of the aperture. We assume that on the screen u 0. Let the radius of the aperture be a and let Q (p) be the value of u in the aperture, 0 5 p 5 a. Bomkamp [1] using the Levine and Schwinger [2] variational method, derived the following result. 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 by an Aperture II written by Joseph Bishop Keller and published by Palala Press. This book was released on 2018-03-03 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Download or read book An Infinite System of Linear Equations Arising in Diffraction Theory Classic Reprint written by W. Magnus and published by Forgotten Books. This book was released on 2017-12 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Infinite System of Linear Equations Arising in Diffraction Theory An infinite system of linear equations is investigated which arises in the theory of diffraction by a circular aperture. The coefficients of this system depend on a parameter a. It is proved that the solution of the system can be found to any degree of approximation by solving the first N equations for the first N unknowns, for N sufficiently large. 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 Theory written by C. J. Bouwkamp and published by Forgotten Books. This book was released on 2017-11-23 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction Theory: A Critique of Some Recent Developments A number of important recent developments have not been treated in these lectures. Among these we can mention the exact solutions recently obtained for diffraction by circular apertures and disks, and the wiener-hopf technique which has proved its power in the solution of certain waveguide problems. 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 by an Aperture I written by Joseph Bishop Keller and published by . This book was released on 1956 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Diffraction in Inhomogeneous Media Classic Reprint written by Bernard D. Seckler and published by Forgotten Books. This book was released on 2018-02-03 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction in Inhomogeneous Media This theory differs from ordinary geometrical optics by the inclusion of certain additional rays called diffracted rays and others called complex or imaginary rays. The former are associated with the boundaries or discontinuities of the medium while the latter are associated with refraction shadows which occur in the absence of boundaries. In addition to characterizing these new rays, the theory also provides a method for calculating the field associated with them. 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 by a Spheroid Classic Reprint written by Bertram R. Levy and published by Forgotten Books. This book was released on 2019-01-24 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction by a Spheroid Our first result, given in Section 2, is based upon the geometrical theory of diffractionei]. This is a theory which describes the field scattered by any object directly in terms of geometrical properties of the object and certain coefficients determined from a few canonical problems. 'we have previously applied this theory to diffraction by convex cylindersez] and convex solidstfi]. Whenever possible we compared the results of that theory with the asymptotic form (for wavelength small compared to object dimensions) of the solution of the corresponding boundary value problem. 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 Molecular Diffraction of Light Classic Reprint written by C. V. Raman and published by Forgotten Books. This book was released on 2017-11-22 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Molecular Diffraction of Light In the course of the work, references are made to cases in which the classical wave theory apparently fails to explain the facts relating to molecular scattering in a satisfactory manner, and in the final chapter an attempt is made to consider these cases in terms of the conception introduced by Einstein in 1905 that light is not continuous wave-motion but consists of discrete quanta moving through space. 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 by a Circular Aperture at High Frequencies written by Stanford University. Applied Mathematics and Statistics Laboratory and published by . This book was released on 1956 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: