Download or read book Prolate Spheroidal Wave Functions of Order Zero written by Andrei Osipov and published by Springer Science & Business Media. This book was released on 2013-10-12 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Spheroidal Wave Functions in Electromagnetic Theory written by Le-Wei Li and published by John Wiley & Sons. This book was released on 2004-04-05 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Spheroidal Wave Functions written by Julius Adams Stratton and published by Mit Press. This book was released on 1956 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Spheroidal Wave Functions written by Carson Flammer and published by Courier Corporation. This book was released on 2014-03-05 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Tables of Angular Spheroidal Wave Functions written by United States. Naval Research Office and published by . This book was released on 1975 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tables of Radial Spheroidal Wave Functions written by Naval Research Laboratory (U.S.) and published by . This book was released on 1970 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tables of Angular Spheroidal Wave Functions Oblate m written by and published by . This book was released on 1975 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tables of Angular Spheroidal Wave Functions Prolate m written by Naval Research Laboratory (U.S.) and published by . This book was released on 1975 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spheroidal Wave Functions written by and published by . This book was released on 1956 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Periodic Differential Equations written by F. M. Arscott and published by Elsevier. This book was released on 2014-05-16 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On the Spherical and Spheroidal Wave Functions written by Olof E. H. Rydbeck and published by . This book was released on 1945 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems
Download or read book Spheroidal Wave Functions Including Tables of Separation Constants and Coefficients written by Julius Adams Stratton and published by . This book was released on 1956 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tables of Radial Spheroidal Wave Functions written by Naval Research Laboratory (Etats-Unis). and published by . This book was released on 1970 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spheroidal Wave Functions and Planar Structures written by Wei-Hsin Hung and published by . This book was released on 1999 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tables of Radial Spheroidal Wave Functions written by Sam Hanish and published by . This book was released on 1970 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spheroidal Wave Functions written by John William Nicholson and published by . This book was released on 1924 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
