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1 edition of Spheroidal wave functions, including tables of separation constants and coefficients found in the catalog.

Spheroidal wave functions, including tables of separation constants and coefficients

Spheroidal wave functions, including tables of separation constants and coefficients

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Published by M.I.T. Press in Cambridge (Mass.) .
Written in English


Edition Notes

Statementby J.A. Stratton... [et al].
ContributionsStratton, J. A., Massachusetts Institute of Technology.
ID Numbers
Open LibraryOL14153905M

J. A. Stratton, P. M. Morse, L. J. Chu, J. D. C. Little and F. J. Corbato, Spheroidal Wave Functions Including Tables of Separation Constants and Coefficients, MIT Press, A set of tables of spheroidal wave functions designed to simplify the computation of acoustic and electromagnetic scattering from spheroids. () Elliptic cylinder and spheroidal wave functions:including tables of separation constants and coefficients New York: J. Wiley & sons, inc. ; MLA Citation. Stratton, Julius Adams,, Morse, Philip McCord,, Chu, Lan Jen,Hutner, Reina Albagli,Elliptic Cylinder And Spheroidal Wave Functions: Including Tables Of Separation Constants And.

If () is a solution to this equation and we define ():= (−) / (), then () is a prolate spheroidal wave function in the sense that it satisfies the equation. L.J. Chu is the author of Spheroidal Wave Functions ( avg rating, 0 ratings, 0 reviews, published ).

spheroidal wave functions of the angle and radial types. It is customary to expand these wave functions in two infinite series consisting of associated Legendre functions and spherical Bessel functions, respectively. Tables of expansion coefficients have . Spheroidal Wave Functions: Including Tables of Separation Constants and Coefficients. An introduction to the mathematical properties of the functions and describes some of .


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Spheroidal wave functions, including tables of separation constants and coefficients Download PDF EPUB FB2

Spheroidal Wave Functions: Including Tables of Separation Constants and Coefficients (The MIT Press) [Stratton, Julius A., Morse, P. M., Chu, Lan Jen, Little, J. C Cited by: 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 s: 0.

Elliptic cylinder and spheroidal wave functions: Including tables of separation constants and coefficients, Unknown Binding – by Julius Adams Stratton (Author)Author: Julius Adams Stratton. 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 including tables of separation constants and coefficients book : Julius A.

Stratton. Spheroidal Wave Functions Including Tables of Separation ~ Spheroidal Wave Functions Including Tables of Separation Constants and Coefficients The MIT Press Julius A Stratton P M Morse Lan Jen Chu J D C Little Fernando J Corbato on FREE shipping on qualifying offers A set of tables of spheroidal wave functions designed to simplify the computation of acoustic.

Spheroidal Wave Functions Including Tables of Separation Constants and Coefficients. 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. Volkmer Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin.

Acknowledgements: This chapter is based in part on Abramowitz and Stegun (, Chapter 21) by A. Lowan. Notes: The main references used in writing this chapter are Arscott (), Erdélyi et al. (), Meixner and Schäfke (), and Meixner et al.

().For. represents a substantial contribution to the existing software, since it computes the. spheroidal wave functions to arbitrary precision for general complex parameters m, n., g and argument z; existing software can only handle integer m,n and does not give. arbitrary precision.

spheroidal wave functions; finally, in Appendix D we present tables of sample function values to high-precision, for the purposes of comparison with other packages. reviews and descriptions of tables and books 9.

Bessel Functions of Integer Order—F. Olver, Bessel Functions of Fractional Order—H. Antosiewicz, Integrals of Bessel Functions—Yudell L. Luke, Struve Functions and Related Functions—Milton Abramowtz, Confluent Hypergeometric Functions—Lucy Joan Slater, 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.

Separation of the wave equation in prolate spheroidal coordinates leads to the prolate spheroidal wave equation (PSWE) (1−z2) d2y dz2 −2z dy dz +λ− µ2 1−z2 +γ2(1−z2) ⎛ ⎝⎜ ⎞ ⎠⎟ y=0, () where λ and µ are separation constants, and γ is.

Spheroidal wave functions, including tables of separation constants and coefficients. [Julius Adams Stratton] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library.

Create. Efficient coupling has been accomplished only with the use of fragile, large, or otherwise impractical devices, such as bulk prisms or thin tapered fibers. However, a recent innovation, the stripline pedestal anti-resonant reflecting optical waveguide (SPARROW) coupler, is viewed as a very promising technology.

Author(s) Summary. 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. Ps n m ⁡ (x, γ 2): spheroidal wave function of the first kind, Qs n m ⁡ (x, γ 2): spheroidal wave function of the second kind, m: nonnegative integer, n ≥ m: integer degree, b j: coefficients, η: prolate spheroidal coordinate, w j: solution to DE, γ 2 = κ 2 ⁢ c 2: parameter and a j: coefficients Referenced by: §(v), § PDF | After an introduction to the properties of prolate spheroidal wavefunctions and schemes for their computation, we investigate their role in the | Find, read and cite all the research you.

Get this from a library. Elliptic cylinder and spheroidal wave functions, including tables of separation constants and coefficients. [Julius Adams Stratton; Philip M Morse; Lan Jen Chu; Reina Albagli Hutner; Massachusetts Institute of Technology.].

Prolate Spheroidal Wave Function as Exact solution of the Schrödinger Equation variables separation []. Later it is discovered that they are essential for the description of electromagnetic wave propagation, for the signal processing and for many other physical phenomena [].

It is therefore reasonable to beCited by: 2. Prolate spheroidal wave functions (PSWFs) play an important role in various areas, from physics (e.g.

wave phenomena, fluid dynamics) to engineering (e.g. signal processing, filter design). Even though the significance of PSWFs was realized at least half a century. Spheroidal Wave Functions: Including Tables of Separation Constants and Coefficients.

Philip M. Morse. Out of Stock. Methods of Theoretical Physics: Part I: Second Edition. Philip M. Morse. We personally assess every book's quality and offer rare, out-of-print treasures. We deliver the joy of reading in % recyclable packaging with free.6. Summary and conclusions. The paper shows the utility of the matrix method in the calculation of spheroidal eigenvalues and wave functions.

The method is practical, highly accurate, and applicable to a wide range of the parameters m, n and many purposes the calculation of the eigenvalues and the regular angular function can be regarded as completely by: We provide conditions on a shift parameter and number of basic prolate spheroidal wave functions with a fixed bandwidth and time concentrated to a fixed duration such that the shifts of the basic prolates form a frame or a Riesz basis for the Paley–Wiener space consisting of all square integrable functions with the given by: