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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 58, Iss. 3 — Mar. 1, 1968
  • pp: 380–388

Electric Fields Produced by the Propagation of Plane Coherent Electromagnetic Radiation in a Stratified Medium

WILFORD N. HANSEN  »View Author Affiliations


JOSA, Vol. 58, Issue 3, pp. 380-388 (1968)
http://dx.doi.org/10.1364/JOSA.58.000380


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Abstract

Explicit formulas are derived for the mean-square electric fields induced by plane electromagnetic radiation in a two-phase, three-phase, and N-phase stratified medium. The first (incident) and last phases are semi-infinite in extent. Boundaries separating phases are plane and parallel. Phases are isotropic with arbitrary optical constants. Simple relationships follow for special cases such as at the critical angle for a two-phase system. Equations for reflectance, transmittance, and phase changes on reflectance and transmittance are given. Details are given concerning the energy absorption process, especially in the two- and three-layer cases. Equations for the N-layer case are in terms of characteristic matrices which can be readily programmed for a computer.

Citation
WILFORD N. HANSEN, "Electric Fields Produced by the Propagation of Plane Coherent Electromagnetic Radiation in a Stratified Medium," J. Opt. Soc. Am. 58, 380-388 (1968)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-58-3-380


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References

  1. N. J. Harrick, J. Opt. Soc. Am. 55, 851 (1965).
  2. W. N. Hansen, T. Kuwana, and R. A. Osteryoung, Anal. Chem. 38, 1810 (1966).
  3. M. Born and E. Wolf, Principles of Optics (Pergamon Press, Inc., New York, 1959), p. 61; b. p. 609. 380
  4. J. A. Stratton, Electromagnetic Theory (McGraw-Hill Book Company, New York, 1941), pp. 492ff.
  5. A. Vaŝiĉek, Optics of Thin Films (North-Holland Publishing Company, Amsterdam, 1960), p. 330.
  6. A. Vaŝiĉek, Opt. Spectry. (USSR) 11, 128 (1961).
  7. J. A. Stratton, Ref. 4, p. 137.
  8. See Ref. 7, p. 136.
  9. See Ref. 7, p. 511.
  10. M. Born and E. Wolf, Ref. 3, p. 23.
  11. N. J. Harrick and F. K. du Pré, Appl. Opt. 5, 1739 (1966).
  12. F. Abelès, Ann. Phys. (Paris) 5, 596 (1950).

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