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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 17, Iss. 6 — Jun. 1, 2000
  • pp: 1067–1076

Green dyadic calculations for inhomogeneous optical media

Robert L. Hartman  »View Author Affiliations

JOSA A, Vol. 17, Issue 6, pp. 1067-1076 (2000)

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A difference equation obtained for the reassociated Green dyadic formalism is exploited to obtain solutions for the case of a multilayered dielectric medium. Computation of limits as layers become progressively thinner leads to a parallel development for the case of a dielectric varying continuously in a single direction. A demonstration example then shows how discrete and continuous techniques can be combined into a hybrid formulation. Finally, numerical computations are presented for the simple case of a dipole, illustrating convergence of the difference equation solutions to the differential equation solution.

© 2000 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(240.0240) Optics at surfaces : Optics at surfaces
(290.0290) Scattering : Scattering
(350.5500) Other areas of optics : Propagation

Original Manuscript: July 1, 1999
Revised Manuscript: December 14, 1999
Manuscript Accepted: December 14, 1999
Published: June 1, 2000

Robert L. Hartman, "Green dyadic calculations for inhomogeneous optical media," J. Opt. Soc. Am. A 17, 1067-1076 (2000)

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  1. A. Sommerfeld, Partial Differential Equations (Academic, New York, 1949).
  2. R. Chance, A. Prock, R. Silbey, “Molecular fluorescence and energy transfer near interfaces,” Adv. Chem. Phys. 37, 1–65 (1978).
  3. C.-T. Tai, Dyadic Green Functions in Electromagnetic Theory, 2nd ed. (Institute of Electrical and Electronics Engineers, New York, 1994).
  4. R. W. P. King, T. T. Wu, M. Owens, Lateral Electromagnetic Waves (Springer-Verlag, New York, 1992).
  5. J. R. Wait, Electromagnetic Waves in Stratified Media (Pergamon, New York, 1962).
  6. K. Warnick, D. Arnold, “Electromagnetic Green functions using differential forms,” J. Electromagn. Waves Appl. 10, 427–438 (1996). [CrossRef]
  7. K. Warnick, D. Arnold, “Green forms for anisotropic, inhomogeneous media,” J. Electromagn. Waves Appl. 11, 1145–1164 (1997). [CrossRef]
  8. G. P. S. Cavalcante, D. A. Rogers, A. J. Giardola, “Analysis of electromagnetic wave propagation in multi-layered media using dyadic Green’s functions,” Radio Sci. 17, 503–508 (1982). [CrossRef]
  9. L. W. Li, J. A. Bennett, P. L. Dyson, “Some methods of solving for the coefficients of dyadic Green’s functions in isotropic stratified media,” Int. J. Electron. 70, 803–814 (1991). [CrossRef]
  10. R. L. Hartman, S. M. Cohen, P. T. Leung, “A note on the Green dyadic calculation of the decay rates for admolecules at multiple planar interfaces,” J. Chem. Phys. 110, 2189–2194 (1999). [CrossRef]
  11. R. L. Hartman, P. T. Leung, S. M. Cohen, “Molecular fluorescence in the vicinity of a gradient-index medium,” J. Opt. Soc. Am. A 17, 933–936 (2000). [CrossRef]
  12. E. A. Coddington, N. Levinson, Theory of Ordinary Differential Equations (McGraw-Hill, New York, 1965), pp. 74–75.

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