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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 12 — Dec. 1, 1998
  • pp: 3003–3008

Mie scattering of evanescent waves by a dielectric sphere: comparison of multipole expansion and group-theory methods

A. V. Zvyagin and K. Goto  »View Author Affiliations


JOSA A, Vol. 15, Issue 12, pp. 3003-3008 (1998)
http://dx.doi.org/10.1364/JOSAA.15.003003


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Abstract

We present an application of the group-theory-based method for solving the problem of Mie scattering of evanescent waves by a dielectric sphere. Comparison with the conventional multipole expansion method is also discussed. The developed method is relevant to the near-field optical scanning microscope theoretical modeling problem.

© 1998 Optical Society of America

OCIS Codes
(240.4350) Optics at surfaces : Nonlinear optics at surfaces
(260.2110) Physical optics : Electromagnetic optics
(260.6970) Physical optics : Total internal reflection
(290.4020) Scattering : Mie theory

Citation
A. V. Zvyagin and K. Goto, "Mie scattering of evanescent waves by a dielectric sphere: comparison of multipole expansion and group-theory methods," J. Opt. Soc. Am. A 15, 3003-3008 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-12-3003


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References

  1. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  2. See, for example, D. W. Pohl and D. Courjon, eds., Near-Field Optics (Kluwer, Dordrecht, The Netherlands, 1993); M. Ohtsu, “Progress of high-resolution photon scanning tunneling microscopy due to a nanometric fiber probe,” J. Lightwave Technol. 13, 1200–1221 (1995).
  3. H. Chew, D. S. Wang, and M. Kerker, “Elastic scattering of evanescent electromagnetic waves,” Appl. Opt. 18, 2679–2687 (1979).
  4. C. Liu, T. Kaiser, S. Lange, and G. Schweiger, “Structural resonances in a dielectric sphere illuminated by an evanescent wave,” Opt. Commun. 117, 521–531 (1995).
  5. J. D. Pendleton, “Mie scattering into solid angles,” J. Opt. Soc. Am. 71, 1029–1033 (1982).
  6. G. Goertzel, “Angular correction of gamma-rays,” Phys. Rev. 70, 897–909 (1946).
  7. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).
  8. A. V. Zvyagin, “Study of near-field optical microscope image formation,” Ph.D. dissertation (Tokyo Institute of Technology, Tokyo, Japan, 1997).
  9. M. E. Rose, Elementary Theory of Angular Momentum (Wiley, New York, 1957), Chap. 4.
  10. G. Goertzel, “Angular correction of gamma-rays,” Phys. Rev. 70, 897–909 (1946).
  11. D. Barchiesi and D. Van Labeke, “Application of Mie scattering of evanescent waves to scanning tunneling optical microscopy theory,” J. Mod. Opt. 40, 1239–1254 (1993).
  12. M. Abramowitz and I. Stegun, eds., Handbook of Mathematical Functions (U.S. Government Printing Office, Washington, D.C., 1965).

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