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1 edition of Caustics, Catastrophes and Wave Fields found in the catalog.

Caustics, Catastrophes and Wave Fields

by Yu. A. Kravtsov

  • 24 Want to read
  • 6 Currently reading

Published by Springer Berlin Heidelberg in Berlin, Heidelberg .
Written in English

    Subjects:
  • Engineering,
  • Physics,
  • Computer engineering,
  • Physical geography

  • Edition Notes

    Statementby Yu. A. Kravtsov, Yu. I. Orlov
    SeriesSpringer Series on Wave Phenomena -- 15, Springer Series on Wave Phenomena -- 15
    ContributionsOrlov, Yu. I.
    Classifications
    LC ClassificationsQC350-467, QC630-648
    The Physical Object
    Format[electronic resource] /
    Pagination1 online resource ( 59 illus.)
    Number of Pages59
    ID Numbers
    Open LibraryOL27023428M
    ISBN 103642974937, 3642974910
    ISBN 109783642974939, 9783642974915
    OCLC/WorldCa851363512

    The k, make up vector fields over 3. virtue of their origin in a wave equation By IV. i 21 CATASTROPHE THEORY AND STABLE CAUSTICS (S 3) these vector fields must be derivable from scalar fields 9 = Y'(9?),, defined (up to constants) by k, = KVY, () (this implies that the k, are irrotational). 9 are the branches of a, multivalued action Cited by: Optical caustics 7 Swimming pool Coffee cup • Caustics are defined as envelope of a family of rays • Singularities in ray optics • Catastrophe theory is required to remove singularity Books: J.F. Nye,Natural Focusing and Fine Structure of Light. Y.A. Kravtsov, Caustics, Catastrophes and Wave Fields.

    Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations provides a definitive account of how classical optics has been reconstructed in a modern way by emphasizing the hierarchy of singularities that exists in light fields. The book discusses the singularities of geometrical optics and their systematization by catastrophe 5/5(2). In this paper, the artificial generation of elementary catastrophe optics having odd codimensions K = 1, 3 and 5 such as the Fold, the Swallowtail and the Wigwam diffraction caustics is investigated theoretically. It is shown that the integral catastrophes with odd polynomials phase functions can be reduced to the well-known Airy-Hardy cosine : Abdelmajid Belafhal, Zoubir Hricha, El Mostapha El Halba.

    Such solutions are approximations to solutions of the non-paraxial Helmholtz or Maxwell equations, among whose exact solutions are also waves whose corresponding rays possess stable curved caustics, for example circular beams [31, 32] based on the Bessel wave J n (r)exp(in) (in polar coordinates).More generally the standard diffraction catastrophes represent waves locally near caustics, as. 16 ELSEVIER Wave Motion 19 () Longitudinal caustic scale and boundaries of applicability of uniform Airy-asymptotics A.A. Asatryan a, Yu.A. KravtSOV b'* Yerevan State University, Radiophysics Department, Mravyan str., Yerevan , Armenia b General Physics Institute-GROT Russian Acad. Sci., Vavilov str. 38, Moscow , Russian Federation Received 8 June Abstract The Cited by: 4.


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Caustics, Catastrophes and Wave Fields by Yu. A. Kravtsov Download PDF EPUB FB2

Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory.

This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of Cited by: Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory.

This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of. Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" by analysing caustics and their fields on the basis of modern catastrophe theory.

The present volume covers local and uniform caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of canonical operators, Orlov's method of interference integrals. Caustics, Catastrophes and Wave Fields by Yu.A.

Kravtsov,available at Book Depository with free delivery worldwide. Caustics, catastrophes and wave fields. [I︠U︡ A Kravt︠s︡ov; I︠U︡ I Orlov] Book: All Authors / Contributors: I︠U︡ A Kravt︠s︡ov; I︠U︡ I Orlov. Introduction -- 2. Rays and Caustics -- 3.

Caustics as Catastrophes -- 4. Typical Integrals of Catastrophe Theory -- 5. Uniform Caustic Asymptotics Derived with Standard.

Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations provides a definitive account of how classical optics has been reconstructed in a modern way by emphasizing the hierarchy of singularities that exists in light fields.

The book discusses the singularities of geometrical optics and their systematization by catastrophe theory/5(3). Permalink: Titel: Caustics, Catastrophes and Wave Fields [electronic resource] / by Yu.A. Kravtsov, Yu.I. Orlov. The Wave Aspect of the Caustic Problem 5 2 Rays and Caustics 8 3 Caustics as Catastrophes 34 Mappings Induced by Rays 34 General Scheme to Compute Caustic Fields 97 Uniform Caustic Asymptotic of an EM Field The modern view of caustics as the singularities of mappings performed by rays is set forth.

The substantial progress which has recently been achieved in research on caustic field. Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory.

The modern mathematical theory of caustics as catastrophes or singularities of differentiable mappings performed by rays is reviewed. Topics discussed include the ray surface and the Lagrange manifold, classification and asymptotic representation of wave fields for structurally stable caustics of vector fields, caustics in media with anisotropy and spatial dispersion, complex caustics Cited by: Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory.

This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of standard Format: Taschenbuch. (ebook) Caustics, Catastrophes and Wave Fields () from Dymocks online store.

Caustics, Catastrophes and Wave Fields in a sense continues. Australia’s leading bookseller. Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 Geometrical Optics of Inhomogeneous Media in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory.

Caustics, catastrophes, and symmetries in curved beams Article (PDF Available) in Physical Review A 92(3) September with Reads How we measure 'reads'. The standard integrals can be used to construct both local and uniform asymptotic field representations in the presence of caustics.

Asymptotic methods for describing the field have also been developed for penumbral caustics associated with edge catastrophes and for several other types of caustics which arise in wave problems in optics.

Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catas. If you own the copyright to this book and it is wrongfully on our website, we offer a simple DMCA procedure to remove your content from our site.

Caustics, Catastrophes and Wave Fields. Read more. Wave fields in real media. Read more. Catastrophes. Read more. Catastrophes. Read more. Catastrophes. Read more.

Catastrophes. Read more. E-books. Browse e-books; Series Descriptions; Book Program; MARC Records; FAQ; Proceedings; Penumbra Caustics. Caustics, Catastrophes and Wave Fields, Modifications and Generalizations of Standard Integrals and Functions.

Caustics, Catastrophes and Wave Fields, SIAM Journal on Applied MathematicsCited by: Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and.

Find a new world at your fingertips with our wide selection of books online at Barnes & Noble®. Our online bookstore features the best books, eBooks, and audiobooks from bestselling authors, so you can click through our aisles to browse top titles & genres for adults, teens, and g: Wave Fields.In optics, a caustic or caustic network is the envelope of light rays reflected or refracted by a curved surface or object, or the projection of that envelope of rays on another surface.

The caustic is a curve or surface to which each of the light rays is tangent, defining a boundary of an envelope of rays as a curve of concentrated light.

Therefore, in the photo on the side, caustics can be.Buy Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations: Caustics and Wave Dislocataions 1 by Nye, J.F (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible orders.5/5(2).