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Sunday, July 19, 2020 | History

4 edition of Diffraction in inhomogeneous media found in the catalog.

Diffraction in inhomogeneous media

by Bernard D. Seckler

  • 18 Want to read
  • 13 Currently reading

Published by Courant Institute of Mathematical Sciences, New York University in New York .
Written in English


Edition Notes

Statement(by) Bernard D. Seckler and Joseph B. Keller.
ContributionsKeller, Joseph B.
The Physical Object
Pagination68 p.
Number of Pages68
ID Numbers
Open LibraryOL17867828M

Pris: kr. Häftad, Skickas inom vardagar. Köp Geometrical Optics of Inhomogeneous Media av Yury A Kravtsov, Yury I Orlov på allmusictrends.com throughout the book, including programs for such important topics as diffraction of Gaussian beams, split-step beam propagation method for beam propagation in inhomogeneous as well as Kerr media, and numerical calculation of up to coupled differential equations in acousto-optics. Finally, we cover acousto-optics with emphasis on.

The purpose of this book is to explain how general electromagnetic fields can be represented by the superposition of plane waves traveling in diverse directions, and to illustrate the way in which this plane wave spectrum representation can be put to good use in treating various characteristic problems belonging to the classical theories of. To examine these effects, we have developed a computer program that includes diffraction in the simulation of acoustic pulse propagation in complex 3D media (Sandvin, Pedersen, Gjøystdal, ). The programs are based on a generalized Kirchhoff approximation of the diffraction integral for inhomogeneous allmusictrends.com: Odd Løvhaugen, Jakob J. Stamnes.

The method of complex geometrical optics is presented, which describes Gaussian beam diffraction and self- -focusing in smoothly inhomogeneous and nonlinear saturable media of cylindrical symmetry. diffraction to be expressed in terms of the Fourier transform. area for these approximations, diffraction gratings with many uses are described. Diffraction is usually discussed in terms of forward wave propagation. diffraction covered in Chapter 6 is the opposite, involving inverse wave propagation.


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Diffraction in inhomogeneous media by Bernard D. Seckler Download PDF EPUB FB2

The field of a line source in a cylindrically stratified medium with a circular boundary 57 Appendix 63 References 67 - 1 - Part I, The Geometrical Diffraction Theory 1, Introduction In the analysis of wave propagation in inhomogeneous media the method of geometrical optics is often employed.

Books online: Diffraction in Inhomogeneous Media,allmusictrends.com Diffraction in Inhomogeneous Media, Bernard D Seckler Joseph B Keller - Shop Online for Books in Germany We use cookies to provide essential features and services.

Jul 11,  · The geometrical theory of diffraction is described. It is used to determine the diffracted fields in inhomogeneous media.

Cases in which such media contain smooth convex bodies are treated. The theory employs an extension of Fermat's principle which yields diffracted rays.

By energy considerations the field associated with each ray is allmusictrends.com by: Geometrical Optics of Inhomogeneous Media. Authors In preparing the manuscript we used a set of lecture notes devised for All-Union Schools on Diffraction and Wave Propagation, published in Rus­ sian.

Sections ,6 and 10 result from joint efforts of both authors. The other material of the book we wrote separately. I contributed Sects.

The method of paraxial complex geometrical optics is presented to describe Gaussian beam diffraction in arbitrary smoothly inhomogeneous media, including lens-like media. The method modifies and specifies the results by Babic' (), Kirpichnikova (), Cerveny, Popov, Psencik (), Cerveny (, ), Timofeev () and Pereverzev () as applied to the optical problems.

Diffraction Diffraction in inhomogeneous media book of the inhomogeneous media is studied on the basis of the method of double weighted Fourier transform (DWFT). In a given paper we study a case, when plasma inhomogeneities are placed within a thin layer and play a role of the phase screen.

In this paper the theory of wave propagation in continuous- inhomogeneous media is utilized to explain scattering of ultrasound by soft tissues. When a number of scattering volume elements are present, as opposed to one, the scattered energy from a given volume element subsequently encounters other scattering volume allmusictrends.com by: 5.

Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (7th Edition) Max Born, Emil Wolf Principles of Optics is one of the classic science books of the twentieth century, and probably the most influential book in optics published in the past forty years.

Diffraction of an initial beam of the Gaussian form was correctly calculated evenin some inhomogeneous media [3,4,10,19]. Relating to the CGO, the Gaussian beam summation method can also provide a powerful framework for constructing uniform asymptotic so.

This chapter deals with optical propagation in inhomogeneous media. It also discusses some of the exact and analytical solutions for these special cases.

Numerical approaches are often sought for to analyze beam (and pulse) propagation in complex systems such as optical fibers, volume diffraction gratings, and Kerr and photorefractive (PR) media.

Principles of Optics is one of the classic science books of the twentieth century, and probably the most influential book in optics published in the past 40 years.

The new edition is the first ever thoroughly revised and updated edition of this standard text and contains much new allmusictrends.com by: The chapter dedicated to optical imaging features new material about computerized axial tomography, while a whole new chapter covers scattering from inhomogeneous media including diffraction tomography.

The text concludes with the optics of crystals, which introduces the reader to nonlinear optical phenomena.' Max Born and Emil Wolf, /5(21). The diffraction of an inhomogeneous plane wave by a wedge is investigated.

An integral representation for the total field is obtained and then evaluated by a uniform asymptotic procedure. The solution is expressed in the form of the uniform geometrical theory of diffraction (UTD) so that it can be applied to calculate the scattering from more.

allmusictrends.com: Geometrical Optics of Inhomogeneous Media (Springer Series on Wave Phenomena) () by Kravtsov, Yury A. and a great selection of similar New, Used and Collectible Books available now at great allmusictrends.com Range: $ - $ Feb 28,  · The book also includes a new chapter on scattering from inhomogeneous media which provides a comprehensive treatment of the theory of scattering of scalar as well as of electromagnetic waves, including the Born series and the Rytov series.4/5(6).

Oct 01,  · This edition also details scattering from inhomogeneous media and presents an account of the principles of diffraction tomography to which Emil Wolf has made a basic contribution.

Several new appendices are also included. This new edition will be invaluable to advanced undergraduates, graduate students and researchers working in most areas of Cited by: The book also includes a new chapter on scattering from inhomogeneous media which provides a comprehensive treatment of the theory of scattering of scalar as well as of electromagnetic waves, including the Born series and the Rytov series.

Abstract: An analytical formulation is presented for the computation of scattering and transmission by general anisotropic stratified material. This method employs a first-order state-vector differential equation representation of Maxwell's equations whose solution is given in terms of a 4 \times 4 transition matrix relating the tangential field components at the input and output planes of the Cited by: The book also includes a new chapter on scattering from inhomogeneous media which provides a comprehensive treatment of the theory of scattering of scalar as well as of electromagnetic waves, including the Born series and the Rytov series/5(2).

Diffraction tomography of the inhomogeneous media is studied on the basis of the method of double weighted Fourier transform (DWFT). In a given paper we study a case, when plasma inhomogeneities. Sep 28,  · The chapter dedicated to optical imaging features new material about computerized axial tomography, while a whole new chapter covers scattering from inhomogeneous media including diffraction tomography.

The text concludes with the optics of crystals, which introduces the reader to nonlinear optical phenomena.'.5/5(1).Mar 14,  · Inhomogeneous means that the whole mass does not look the same; the best I can describe is that it looks speckled.

'Diffraction in inhomogeneous media' -- subject(s): Accessible book .The book also includes a new chapter on scattering from inhomogeneous media which provides a comprehensive treatment of the theory of scattering of scalar as well as of electromagnetic waves, including the Born series and the Rytov allmusictrends.com by: