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Elliptic Cylinder And Spheroidal Wave Functions
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Book Synopsis Spheroidal Wave Functions in Electromagnetic Theory by : Le-Wei Li
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.
Book Synopsis Spheroidal Wave Functions by : Carson Flammer
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.
Book Synopsis Tables of Radial Spheroidal Wave Functions by : Sam Hanish
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:
Book Synopsis Tables of Radial Spheroidal Wave Functions by : Naval Research Laboratory (U.S.)
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:
Book Synopsis Tables of Angular Spheroidal Wave Functions: Oblate, m by : Arnie Lee Van Buren
Download or read book Tables of Angular Spheroidal Wave Functions: Oblate, m written by Arnie Lee Van Buren and published by . This book was released on 1975 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Tables of Angular Spheroidal Wave Functions: Prolate, m by : United States Naval Research Office
Download or read book Tables of Angular Spheroidal Wave Functions: Prolate, m written by United States Naval Research Office and published by . This book was released on 1975 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables by : Milton Abramowitz
Download or read book Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables written by Milton Abramowitz and published by . This book was released on 1964 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Tables of Angular Spheroidal Wave Functions by :
Download or read book Tables of Angular Spheroidal Wave Functions written by and published by . This book was released on 1975 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Graphs and Tables of the Mathieu Functions and Their First Derivatives by : James C. Wiltse
Download or read book Graphs and Tables of the Mathieu Functions and Their First Derivatives written by James C. Wiltse and published by Author House. This book was released on 2012-01-26 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathieu functions are employed in solving a variety of problems in mathematic (al?) physics. In many cases the configuration involves elliptical coordinates. Of course, the circular geometry is the degenerate case of the elliptical cross section. This volume contains values for, and curves of the angular and radial Mathieu functions and their first derivatives. The latter are often needed in the solution of problems, in particular in solving electromagnetic wave propagation problems. Also included are data on zero crossings of the radial Mathieu functions. These are often needed for determining the cut-off frequencies for propagating modes. Other tables are available for the Mathieu functions, but there is very little data available for derivatives or zero crossings. It is felt that the principal value of this volume is in the multitude of curves included. The analyst dealing with elliptical cases can, by inspection of the curves, find values of the functions and derivatives at the origin, maxima and minima, zero crossings, and qualitative behavior of the plots as a function of several parameters. To the authors knowledge, this is the most extensive presentation of plotted information. It is hoped that the information will be helpful in the solution of practical problems. This book is divided into two sections. Section I deals only with the functions themselves, defining the equations and terminology used and presenting the tabular data and curves. Section II treats the derivatives and the zeros. Again the terminology and equations for the first derivatives are given. The Mathieu functions are named after Emile L. Mathieu (1835-1890), a French mathematician, who in 1868 published an article dealing with vibratory movement of the elliptic membrane. The asteroid 27947 Emilemathieu is named in his honor.
Book Synopsis NIST Handbook of Mathematical Functions Hardback and CD-ROM by : Frank W. J. Olver
Download or read book NIST Handbook of Mathematical Functions Hardback and CD-ROM written by Frank W. J. Olver and published by Cambridge University Press. This book was released on 2010-05-17 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.
Book Synopsis Physical Foundations of Technical Acoustics by : I. Malecki
Download or read book Physical Foundations of Technical Acoustics written by I. Malecki and published by Elsevier. This book was released on 2013-10-22 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical Foundations of Technical Acoustics discusses theoretical foundations of acoustical engineering. It is not so much a technical compendium as a systematic statement of physical laws so conceived that technologists might find in it all the information they need to become acquainted with the physical meaning and mathematical expression of phenomena they encounter in their work. To facilitate the acquirement of notions, which lie beyond a layman's grasp, the plan of narration adopted consists in beginning with the simplest idealized cases and then gradually moving on to the truest possible picture of real phenomena. Thus, the first part of the book, dealing with the acoustic field, begins with lossless fluid media, and passes then through perfectly elastic solid media to the real ones, showing losses and relaxations. In the second part, discussing the acoustical systems, the reader is led up from the simplest vibrating system with one degree of freedom to inhomogeneous spatial systems. Classical problems of theoretical acoustics are linked to the questions which appeared still to be the subjects of research. A special chapter has been written to deal with nonlinear acoustics, in consideration of continually growing applications of the acoustic fields of high intensity.
Book Synopsis Mathieu's Equation for Complex Parameters by : Gertrude Blanch
Download or read book Mathieu's Equation for Complex Parameters written by Gertrude Blanch and published by . This book was released on 1969 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NRL Report written by and published by . This book was released on with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Foundations of Acoustics by : Eugen Skudrzyk
Download or read book The Foundations of Acoustics written by Eugen Skudrzyk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and scientific progress are based upqn intuition coordinated with a wide theoretical knowledge, experimental skill, and a realistic sense of the limitations of technology. Only a deep insight into physical phenomena will supply the necessary skills to handle the problems that arise in acoustics. The acoustician today needs to be well acquainted with mathematics, dynamics, hydrodynamics, and physics; he also needs a good knowledge of statistics, signal processing, electrical theory, and of many other specialized subjects. Acquiring this background is a laborious task and would require the study of many different books. It is the goal of this volume to present this background in as thorough and readable a manner as possible so that the reader may turn to specialized publications or chapters of other books for further information without having to start at the preliminaries. In trying to accomplish this goal, mathematics serves only as a tool; the better our understanding of a physical phenomenon, the less mathematics is needed and the shorter and more concise are our computa tions. A word about the choice of subjects for this volume will be helpful to the reader. Even scientists of high standing are frequently not acquainted with the fundamentals needed in the field of acoustics. Chapters I to IX are devoted to these fundamentals. After studying Chapter I, which dis cusses the units and their relationships, the reader should have no difficulty converting from one system of units to any other.
Book Synopsis Tables Relating to the Radial Mathieu Functions by : Aerospace Research Laboratories (U.S.)
Download or read book Tables Relating to the Radial Mathieu Functions written by Aerospace Research Laboratories (U.S.) and published by . This book was released on 1962 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Projects and Publications of the National Applied Mathematics Laboratories by :
Download or read book Projects and Publications of the National Applied Mathematics Laboratories written by and published by . This book was released on 1947 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Table of Characteristic Values of Mathieu's Differential Equation by : Mathematical Tables Project (U.S.)
Download or read book Table of Characteristic Values of Mathieu's Differential Equation written by Mathematical Tables Project (U.S.) and published by . This book was released on 1945 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
