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Saturday, April 18, 2020 | History

3 edition of Spheroidal Wave Functions found in the catalog.

Spheroidal Wave Functions

Including Tables of Separation Constants and Coefficients

by J. A. Stratton

  • 214 Want to read
  • 17 Currently reading

Published by The MIT Press .
Written in English

    Subjects:
  • Mathematics / General,
  • Acoustics & Sound,
  • General,
  • Mathematics,
  • Science/Mathematics

  • The Physical Object
    FormatPaperback
    Number of Pages628
    ID Numbers
    Open LibraryOL10238604M
    ISBN 100262692910
    ISBN 109780262692915
    OCLC/WorldCa59204305

    Coulomb spheroidal functions, Heun’s equation, Mathieu functions, as confluent Heun functions, confluent Heun equation, confluent Heun functions, confluent forms, relations to other functions, special cases, spheroidal wave functions See also: Annotations for § and Ch


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Spheroidal Wave Functions by J. A. Stratton Download PDF EPUB FB2

Spheroidal Wave Functions (Dover Books on Mathematics) and millions of other books are available for Amazon Kindle. Enter your mobile number or email address below and we'll send you a link to download the free Kindle App.

Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device by: Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions.

Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave problems in spheroidal : $ Spheroidal Wave Functions in Electromagnetic Theory is a fundamental reference for scientists, engineers, and graduate students practicing modern computational electromagnetics or applied : Hardcover.

A set of tables of spheroidal wave functions designed to simplify the Spheroidal Wave Functions book of acoustic and electromagnetic scattering from spheroids.

The tables were computed to five-place accuracy on the Whirlwind digital computer, and automatically s: 0. Spheroidal Wave Functions: Including Tables of Separation Constants and Coefficients (The MIT Press) Paperback – Ma by Julius A.

Stratton (Author), P. Morse (Author), Lan Jen Chu (Author),Cited by:   Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions.

Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave problems in spheroidal : Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it discusses separation of the scalar wave equation in spheroidal coordinates, angle and radial functions, integral representations and relationism, and expansions in spherical Bessel function products.

Readers can also develop their own codes according to the theory or routine described in the book to find subsequent solutions of complicated structures. Spheroidal Wave Functions in Electromagnetic Theory is a fundamental reference for scientists, engineers, and graduate students practicing modern computational electromagnetics or applied : $ Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension.

As such, they play an important role in signal processing, Fourier analysis, and Price: $ A set of tables of spheroidal wave functions designed to simplify the computation of acoustic and electromagnetic scattering from spheroids.

The tables were computed to five-place accuracy on the Whirlwind digital computer, and automatically tabulated. A set of tables of spheroidal wave functions designed to simplify the computation of acoustic and electromagnetic scattering from spheroids. The tables were computed to five-place accuracy on the Whirlwind digital computer, and automatically tabulated.

An introduction discusses the mathematical properties of the functions and describes some of their applications.

spheroidal wave functions of Flammer [C. Flammer, Spheroidal Wave Functions, ] are included as a special case of Meixner’s more general functions. This paper presents a concise review of the general theory of spheroidal wave functions and a description of the formulas and algorithms used in their computation, and gives.

Harmon. Anal. 16 () – 3. Spheroidal Wave Functions book of prolate spheroidal wave functions There are several ways to generate the function set, each having its advantages and disadvantages in complexity and. The flagship monograph addressing the spheroidal wave function and its pertinence to computational electromagnetics Spheroidal Wave Functions in Electromagnetic Theory presents in detail the theory of spheroidal wave functions, its applications to the analysis of electromagnetic fields in various spheroidal structures, and provides comprehensive programming codes for those by: In mathematics, the Prolate spheroidal wave functions (PSWF) are a set of orthogonal bandlimited functions.

They are eigenfunctions of a timelimiting operation followed by a lowpassing operation. They are eigenfunctions of a timelimiting operation followed by a lowpassing operation. spheroidal wave functions, starting with their definition as series of Legendre and spherical Bessel functions.

We then discuss the important special case for the angular functions of the second kind. The topics covered in this monograph include: Spheroidal coordinates and wave functions Dyadic Green's functions in spheroidal systems EM scattering by a conducting spheroid EM scattering by a coated dielectric spheroid Spheroid antennas SAR distributions in a spheroidal head model The programming codes and their applications are provided onlineand are written in Mathematica or Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension.

As such, they play an important role in signal processing, Fourier analysis, and approximation theory. The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide.

Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions.

Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave Brand: Dover Publications. Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty — I.

Slepian. Search for more papers by this author. Pollak. Search for more papers by this author. Slepian. Search for more papers by this author.

Pollak. Search for more papers by this author. First published: January Cited by: Chapter 30 Spheroidal Wave Functions H. Volkmer Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin.

Acknowledgements. This book presents in detail the theory of spheroidal wave functions, ap plies it widely to the analysis of electromagnetic fields in various spheroidal structures, and provides a comprehensive programming code for those compu.

description of electromagnetic wave propagation, for the signal processing and for many other physical phenomena []. It is therefore reasonable to be interested in expressing the solution of the Schrödinger equation in terms of prolate spheroidal wave functions.

The solution of the Schrödinger equation isCited by: 2. Additional Physical Format: Online version: Flammer, Carson. Spheroidal wave functions. Stanford, Calif., Stanford University Press, (OCoLC) Title: Spheroidal wave functions: Authors: Flammer, Carson: Publication: A Stanford Research Institute monograph.

The basis for this monograph was work done at Stanford Research Institute for the United States Air Force Cambridge Research Center under Contract AF 19 ()LCCN ; LC classification (partial) QA. Book Author(s): Le‐Wei Li. Search for more papers by this author.

Xiao‐Kang Kang. Search for more papers by this author. Spheroidal Wave Functions in Electromagnetic Theory. Related; Information; Close Figure Viewer.

Browse All Figures Return to Figure. Previous Figure Next Figure. Caption. Spheroidal Wave Functions in Electromagnetic Theory is a fundamental reference for scientists, engineers, and graduate students practicing modern computational electromagnetics or applied physics. Topics include separation of the scalar wave equation in spheroidal coordinates, angle and radial functions, integral representations and relations, and expansions in spherical Bessel function products.

Additional subjects include recurrence relations of Whittaker type, asymptotic expansions for large values of c, and vector wave functions. The. Get this from a library.

Spheroidal wave functions. [Carson Flammer] -- Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions. Addressed to. Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions.

Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave problems in spheroidal include Cited by: ISBN: OCLC Number: Description: xiii, pages: illustrations ; 25 cm. Contents: EM Scattering by Spheroids 4 Spheroidal Antenna 5 EM Radiation in Dielectric Spheroids 7 Oblate Spheroidal Models 8 Spheroidal Cavity System 9 Spheroidal Harmonics and Mathematica Software 10 Spheroidal Coordinates and Wave Functions.

The flagship monograph addressing the spheroidal wave function and its pertinence to computational electromagnetics. Spheroidal Wave Functions in Electromagnetic Theory presents in detail the theory of spheroidal wave functions, its applications to the analysis of electromagnetic fields in various spheroidal structures, and provides comprehensive programming codes for those computations.

Topics include separation of the scalar wave equation in spheroidal coordinates, angle and radial functions, integral representations and relations, and expansions in spherical Bessel function products. Additional subjects include recurrence relations of Whittaker type, asymptotic expansions for large values of c, and vector wave functions.

The Brand: Dover Publications. Spheroidal wave functions are solutions of the Helmholtz equation that are found by writing the equation in spheroidal coordinates and applying the technique of separation of variables, just like the use of spherical coordinates lead to spherical harmonics.

Buy Spheriodal Wave Functions (Wiley Series in Microwave and Optical Engineering) 1st Edition by Li, Kang, Leong (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders. In mathematics, the spheroidal wave equation is given by It is a generalization of the Mathieu differential equation.

Key words: Prolate spheroidal wave functions and their generalisations, time-frequency concen-tration problem, bandlimited functions, finite Fourier/Hankel transforms, quasi-uniform grids, well-conditioned prolate collocation scheme, prolate-Galerkin method, spectral accuracy.

Contents 1 Introduction 2 Prolate spheroidal wave functions File Size: KB. The flagship monograph addressing the spheroidal wave function and its pertinence to computational electromagnetics Spheroidal Wave Functions in Electromagnetic Theory presents in detail the theory of spheroidal wave functions, its applications to the analysis of electromagnetic fields in various spheroidal structures, and provides comprehensive programming codes for those computations.

Bell System Technical Journal, 1. January pp Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II. (Landau, H.J.; Pollak. The Coulomb wave‐function expansion may be regarded as a generalization of Stratton’s representation for ordinary spheroidal wave functions, and has been fully Cited by:.

David S. Slepian (J – Novem ) was an American is best known for his work with algebraic coding theory, probability theory, and distributed source was colleagues with Claude Shannon and Richard Hamming at Bell LabsAlma mater: Harvard University, University of Michigan.Book Review: Spheroidal wave functions.

C. FLAMMER, (Stanford University Press, Stanford ix pages text, pages tables. (68 s.).Try the new Google Books.

Check out the new look and enjoy easier access to your favorite features. Try it now. No thanks. Try the new Google Books Get print book. No eBook available Spheroidal Wave Functions. Carson Flammer. Stanford University Press.

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