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 Diffraction by a Wide Slit written by S. N. Karp and published by . This book was released on 1955 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Diffraction by an Aperture I Classic Reprint written by Joseph B. Keller 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 by an Aperture I The present treatment of diffraction of a wave by an aperture in a thin screen is based upon a new theory of wave propagation. This theory is called 'the geometrical theory of because it is an extension of geometrical optics which describes diffraction phenomena. It is like geometri cal optics inasmuch as it postulates that fields propagate along certain lines or curves called rays. However, it goes beyond geometrical optics, by intro ducing various new kinds of rays, called 'diffracted rays', in addition to the usual optical ones. It also assigns a field value to each point on a ray in a quantitative way and postulates that the total field at a point is the sum of the fields on all rays through that point. Thus the new theory not only provides a qualitative description of diffraction in terms of the diffracted rays, but it permits a quantitative determination of the field as well. 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 On Diffraction by an Infinite Grating Classic Reprint written by Fritz Reiche and published by Forgotten Books. This book was released on 2019-01-11 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On Diffraction by an Infinite Grating The diffraction of a plane wave by an infinite grating of identical circular cylinders is considered. It is shown that the various scattered cylindrical waves combine to form a finite number of plane waves and at: infinite number of surface 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.

Download or read book Diffraction written by Charles Taylor and published by . This book was released on 1987 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title presents a unified view of diffraction for first-year undergraduate students in physics, engineering and other sciences, and will be especially useful to anyone using optical instruments in experimental work.

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 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 Molecular Diffraction of Light Classic Reprint written by C. V. Raman and published by Forgotten Books. This book was released on 2015-08-05 with total page 118 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 Theory Three Papers written by Abe Shenitzer and published by Forgotten Books. This book was released on 2016-08-21 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction Theory Three Papers: Translated From the Russian On the basis of a critical survey of earlier papers it is shown that the results obtained in these papers are insufficiently justified. A rigorous solution of the problem is given. It is also shown that in the limiting case of very high frequencies the solution takes on a form which corresponds to the approximation yielded by geometrical Optics. 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 Classic Reprint written by Josef Meixner and published by Forgotten Books. This book was released on 2018-05-04 with total page 20 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 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 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 University Physics written by OpenStax and published by . This book was released on 2016-11-04 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.

Download or read book Diffraction by an Elliptic Cylinder Classic Reprint written by Bertram Levy and published by . This book was released on 2016-06-24 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction by an Elliptic Cylinder In Section 2 we formulate the boundary value prdblem.for the reduced wave equation corresponding to a cylindrical wave incident upon an acous tically soft or acoustically hard elliptic cylinder. The problem is than solved by the usual separation of variables technique, and an alternative representation for the field is presented. By using the asymptotic expansions for the special functions occurring in the solution the asymptotic expansion of the diffracted.field is found in Section 3. In.section h the diffracted field is constructed geometrically and this construction is shown to be in agreement with the asymptotic expansion of the exact solution. 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 Direct Method of Measuring Intensity of Diffraction Pattern by Photoelectric Cell written by Armin Ervin Brandhorst and published by Forgotten Books. This book was released on 2017-10-27 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Direct Method of Measuring Intensity of Diffraction Pattern by Photoelectric Cell: A Thesis Wan wwwum1m1shemimm alum or a urfmum pattern is the amt optical m1. Mm a diffraction slit m is not pan an spun). 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 Elliptic Cone Classic Reprint written by Lester Kraus and published by Forgotten Books. This book was released on 2018-02-17 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Diffraction by an Elliptic Cone We will formulate our diffraction problems as follows. Let the domain R be the exterior or interior of a semi-infinite elliptic cone, or the exterior of a plane angular sector, and let C be the boundary of R. We wish to find the two Green's functions and defined for r r' 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.