Prolate Spheroidal Wave Functions of Order Zero PDF Download
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Author: Andrei Osipov
Publisher: Springer Science & Business Media
ISBN: 1461482593
Category : Mathematics
Languages : en
Pages : 385
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Book Description
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. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular computational tool. The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.
Author: Andrei Osipov
Publisher: Springer Science & Business Media
ISBN: 1461482593
Category : Mathematics
Languages : en
Pages : 385
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Book Description
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. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular computational tool. The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.
Author: Le-Wei Li
Publisher: John Wiley & Sons
ISBN: 047146418X
Category : Science
Languages : en
Pages : 315
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Book Description
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. 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 online and are written in Mathematica 3.0 or 4.0. 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.
Author: Julius Adams Stratton
Publisher: Mit Press
ISBN: 9780262692915
Category : Mathematics
Languages : en
Pages : 613
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Book Description
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.
Author: Carson Flammer
Publisher: Courier Corporation
ISBN: 0486158519
Category : Mathematics
Languages : en
Pages : 268
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Book Description
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 coordinates. 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 text concludes with an appendix, references, and tables of numerical values.
Author:
Publisher:
ISBN:
Category : Spheroidal functions
Languages : en
Pages : 436
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Book Description
Author: United States. Naval Research Office
Publisher:
ISBN:
Category :
Languages : en
Pages : 444
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Book Description
Author: Sam Hanish
Publisher:
ISBN:
Category : Functions, Spheroidal
Languages : en
Pages : 644
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Book Description
Author: Naval Research Laboratory (U.S.)
Publisher:
ISBN:
Category : Spheroidal functions
Languages : en
Pages : 444
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: F. M. Arscott
Publisher: Elsevier
ISBN: 1483164888
Category : Mathematics
Languages : en
Pages : 295
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Book Description
Periodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions covers the fundamental problems and techniques of solution of periodic differential equations. This book is composed of 10 chapters that present important equations and the special functions they generate, ranging from Mathieu's equation to the intractable ellipsoidal wave equation. This book starts with a survey of the main problems related to the formation of periodic differential equations. The subsequent chapters deal with the general theory of Mathieu's equation, Mathieu functions of integral order, and the principles of asymptotic expansions. These topics are followed by discussions of the stable and unstable solutions of Mathieu's general equation; general properties and characteristic exponent of Hill's equation; and the general nature and solutions of the spheroidal wave equation. The concluding chapters explore the polynomials, orthogonality properties, and integral relations of Lamé's equation. These chapters also describe the wave functions and solutions of the ellipsoidal wave equation. This book will prove useful to pure and applied mathematicians and functional analysis.
