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Applied Optics

Applied Optics


  • Vol. 20, Iss. 15 — Aug. 1, 1981
  • pp: 2738–2741

Electromagnetic modes of an inhomogeneous sphere

Lee W. Casperson  »View Author Affiliations

Applied Optics, Vol. 20, Issue 15, pp. 2738-2741 (1981)

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In many cases the electromagnetic modes of a sphere can be obtained exactly. Special simplifications occur when the conductivity, complex permittivity, and complex permeability vary only in the radial direction, and static and time dependent examples are discussed. With quadratic or Coulomblike permittivity variations, the wave functions resemble the quantum mechanical harmonic oscillator or hydrogen atom wave functions, and similar angular momentum operators are obtained.

© 1981 Optical Society of America

Original Manuscript: December 19, 1980
Published: August 1, 1981

Lee W. Casperson, "Electromagnetic modes of an inhomogeneous sphere," Appl. Opt. 20, 2738-2741 (1981)

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  1. L. W. Casperson, J. Opt. Soc. Am. 65, 399 (1975).
  2. L. W. Casperson, Astrophys. Space Sci. 48, 389 (1977).
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  4. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), p. 415.
  5. H. W. Kogelnik, T. Li, Appl. Opt. 5, 1550 (1966).
  6. L. W. Casperson, J. Opt. Soc. Am. 66, 1373 (1976).
  7. M. Abramowitz, I. A. Stegun, Eds., Handbook of Mathematical Functions, NBS (U.S. GPO, Washington, D.C., 1964;Handbook of Mathematical FunctionsDover, New York, 1965), p. 781.
  8. P. M. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), p. 1670.
  9. Ref. 8, p. 1663.
  10. Ref. 4, p. 158.
  11. L. I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1968), p. 82.
  12. See, for example, J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1962), Sec. 16.3.

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