Spheroidal wave functions.

by Carson Flammer

Publisher: Stanford University Press in Stanford, Calif

Written in English
Published: Pages: 220 Downloads: 437
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Subjects:

  • Spheroidal functions.

Edition Notes

SeriesA Stanford Research Institute monograph
Classifications
LC ClassificationsQA405 .F55
The Physical Object
Paginationix, 220 p.
Number of Pages220
ID Numbers
Open LibraryOL6220769M
LC Control Number57005621

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 Labs. In the traditional transmitting beamforming radar system, the transmitting antennas send coherent waveforms which form a highly focused beam. In the multip. 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 are called oblate spheroidal wave functions if oblate spheroidal coordinates are used and prolate spheroidal wave functions if . spheroidal wave functions in electromagnetic theory Posted By Janet Dailey Publishing TEXT ID df8a5 Online PDF Ebook Epub Library detail the theory of spheroidal wave functions its applications to the analysis of electromagnetic fields in various spheroidal .

on spheroidal wave functions are those by Stratton [17], Meixner [18], and Flammer [19], with tables of function values provided in [17], [19], [20]. Separation of variables of the wave equation in spheroidal coordinates results in a differential equation that is satisfied by both the angular and radial spheroidal wave functions d d (1 2) d. The spheroidal wave functions are investigated in the case $ m = 1$. The integral equation is obtained for them. There are two kinds of eigenvalues in the differential and corresponding integral equations, and the relation between them is given explicitly. spheroidal wave functions in electromagnetic theory Posted By Louis L Amour Publishing TEXT ID df8a5 Online PDF Ebook Epub Library widely made in var ious research areas involving electromagnetics spheroidal wave functions in electromagnetic theory sep 07 . Slepianpsilas prolate spheroidal wave function (PSWF) is optimum in energy concentration within given frequency bandwidth and time-width. However it is not employed in communications mainly because its inter-symbol interference is unfavorable. We show that introducing Markovian spreading codes makes PSWF be a strong candidate for the chip waveform in CDMA systems.

Cuiming Zou, Kit Ian Kou, Joao Morais, Prolate spheroidal wave functions associated with the quaternionic Fourier transform, Mathematical Methods in the Applied Sciences, /mma, 41, 11, (), (). ASYMPTOTICSOF PROLATE SPHEROIDALWAVE FUNCTIONS 3 [39] G. G. WALTER ANDT. SOLESKI,A new friendly method of computing prolate spheroidal wave func- tions and wavelets, Appl. Anal., 19 (), – [40] H. XIAO ANDV. R OKHLIN, High-frequency asymptotic expansions for certain prolate spheroidal wave functions, J. Fourier Anal. Appl., 9 (), –

Spheroidal wave functions. by Carson Flammer Download PDF EPUB FB2

Spheroidal Wave Functions (Dover Books on Mathematics) - Kindle edition by Flammer, Carson. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Spheroidal Wave Functions (Dover Books on Mathematics).Cited by:   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), & out of 5 stars 1 rating. See all formats and editions Hide other Cited by: Stanford University Press, - Spheroidal functions - pages 0 Reviews This applications-oriented text features a detailed and unified account of the use and calculation of spheroidal wave.

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: 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.

Spectral decay of the sinc kernel operator and approximations by Prolate Spheroidal Wave Functions. Aline Bonamiaand Abderrazek Karouib1 a F ed eration Denis-Poisson, MAPMO-UMRDepartment of Mathematics, University of Orl eans, Orl eans cedex 2, France. b University of Carthage, Department of Mathematics, Faculty of Sciences of Bizerte, Tunisia.

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.

Book Review: Spheroidal wave functions. FLAMMER, (Stanford University Press, Stanford ix pages text, pages tables. (68 s.). Bell System Technical Journal, 4. July pp Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty -- III: The Dimension of the Space of Essentially Time.

Spheroidal Wave Functions in Electromagnetic Theory is a fundamental reference for scientists, engineers, and graduate students practicing modern computational electromagnetics or applied physics.

Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Cited by: Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave problems in spheroidal 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.

Spheroidal Wave Functions book. Read reviews from world’s largest community for readers. A set of tables of spheroidal wave functions designed to simplif. 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 Pages: 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 physics.

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.

Cited by: Prolate spheroidal wave functions whose domain is a (portion of) the surface of the unit sphere are more generally called "Slepian functions" (see also Spectral concentration problem).

These are of great utility in disciplines such as geodesy or cosmology. Asymptotic expansions of angular prolate spheroidal wave functions for large values of. 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.

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 Price: $ Elliptic cylinder and spheroidal wave functions: Including tables of separation constants and coefficients, Unknown Binding – January 1, by Julius Adams Stratton (Author) See all formats and editions Hide other formats and editions.

Enter your mobile number or email address below and we'll send you a link to download the free Kindle AppAuthor: Julius Adams Stratton. Spheroidal wave functions are important for boundary-value calculations in electromagnetics, acoustics and quantum mechanics.

This paper discusses the calculation of radial prolate spheroidal wave functions of the second kind for integral mode numbers and real spheroidal parameter. The calculation of these functions is difficult. As demonstrated by Slepian et al. in a sequence of classical papers (see Slepian (), Slepian and Pollak (), Landau and Pollak (), Slepian and Pollak (), Slepian ()), prolate spheroidal wave functions (PSWFs) provide a natural and efficient tool for computing with bandlimited functions defined on an ly, PSWFs have been becoming increasingly.

spheroidal wave functions in electromagnetic theory Posted By Alistair MacLean Ltd TEXT ID df8a5 Online PDF Ebook Epub Library pertinence to computational electromagneticsspheroidal wave functions in electromagnetic theory presents in detail the theory of spheroidal wave functions its applications.

Functions of the First Kind; Functions of the Second Kind; Functions of Complex Argument; Graphics; Expansions in Series of Ferrers Functions; Asymptotic Approximations and Expansions; Series and Integrals; Radial Spheroidal Wave Functions; Generalized and Coulomb Spheroidal Functions.

30 Spheroidal Wave Functions Properties Series and Integrals Generalized and Coulomb Spheroidal Functions § Radial Spheroidal Wave Functions Keywords.

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 : Dover Publications.

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.

Bell System Technical Journal, 1. January pp Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II. (Landau, H.J.; Pollak. 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. "Tabulation of explicit values of radial spheroidal wave functions of both oblate and prolate kinds over extended ranges of parameters.

It is designed to provide the mathematical physicist and research engineer with accurate values of important but not easily calculated functions needed to solve boundary value problems of radiation, scattering and propagation of scolar or vector waves in.

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. spheroidal wave functions in electromagnetic theory Posted By Cao Xueqin Public Library TEXT ID df8a5 Online PDF Ebook Epub Library functions its applications to the analysis of electromagnetic fields in various spheroidal structures and provides comprehensive programming codes for those computations.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.Tables of angular spheroidal wave functions.

Washington: Naval Research Laboratory, (OCoLC) Material Type: Government publication, National government publication: Document Type: Book: All Authors / Contributors: A L Van Buren.