Roots of two transcendental equations determining the frequency spectra of standing spherical electromagnetic waves

Authors:
Robert L. Pexton and Arno D. Steiger

Journal:
Math. Comp. **31** (1977), 1000-1002

MSC:
Primary 65A05

DOI:
https://doi.org/10.1090/S0025-5718-1977-0443286-5

MathSciNet review:
0443286

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Abstract | References | Similar Articles | Additional Information

Abstract: Roots of the transcendental equations

*l*and the root index

*n*are:

**[1]**R. L. PEXTON & A. D. STEIGER, "Roots of two transcendental equations involving spherical Bessel functions,"*Math. Comp.*, v. 31, 1977, pp. MR**0438662 (55:11570)****[2]**H. L. BOYEN, A. M. MESSIAEN & P. E. VANDENPLAS, "Experimental and theoretical eigenmodes of a spherical cavity partially filled with plasma,"*J. Appl. Phys.*, v. 40, 1969, pp. 2296-2305.**[3]**M. ABRAMOWITZ & I. A. STEGUN (Editors),*Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables*, Nat. Bur. Standards, Appl. Math. Ser., no. 55, Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1965. MR**31**#1400. MR**0167642 (29:4914)****[4]**J. M. BLATT, "A stable method of inverse interpolation,"*Austral. Comput. J.*, v. 7, 1975, pp. 51-57. MR**52**#7077. MR**0386219 (52:7077)****[5]**Fr. MECHEL, "Improvement in recurrence techniques for the computation of Bessel functions of integral order,"*Math. Comp.*, v. 22, 1968, pp. 202-205.**[6]**W. J. LENTZ, "Generating Bessel functions in Mie scattering calculations using continued fractions,"*Applied Optics*, v. 15, 1976, pp. 668-671.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1977-0443286-5

Keywords:
Roots of transcendental equations,
spherical Bessel functions,
modified spherical Bessel functions,
electromagnetic cavity resonators

Article copyright:
© Copyright 1977
American Mathematical Society