OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 3 — Mar. 1, 2003
  • pp: 489–498

Application of semiclassical and geometrical optics theories to resonant modes of a coated sphere

Túlio M. Bambino, Ana Maria S. Breitschaft, Valmar C. Barbosa, and Luiz G. Guimarães  »View Author Affiliations

JOSA A, Vol. 20, Issue 3, pp. 489-498 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (408 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



This work deals with some aspects of the resonant scattering of electromagnetic waves by a metallic sphere covered by a dielectric layer, in the weak-absorption approximation. We carry out a geometrical optics treatment of the scattering and develop semiclassical formulas to determine the positions and widths of the system resonances. In addition, we show that the mean lifetime of broad resonances is strongly dependent on the polarization of the incident light.

© 2003 Optical Society of America

OCIS Codes
(260.5740) Physical optics : Resonance
(290.4020) Scattering : Mie theory
(290.5850) Scattering : Scattering, particles

Original Manuscript: July 5, 2002
Revised Manuscript: October 22, 2002
Manuscript Accepted: October 25, 2002
Published: March 1, 2003

Túlio M. Bambino, Ana Maria S. Breitschaft, Valmar C. Barbosa, and Luiz G. Guimarães, "Application of semiclassical and geometrical optics theories to resonant modes of a coated sphere," J. Opt. Soc. Am. A 20, 489-498 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. Scharfman, “Scattering from dielectric coated spheres in the region of the 1st resonance,” J. Appl. Phys. 25, 1352–1356 (1954). [CrossRef]
  2. V. H. Weston, R. Hemenger, “High-frequency scattering from a coated sphere,” J. Res. Natl. Bur. Stand. 66D, 613–619 (1962).
  3. J. Rheinstein, “Scattering of electromagnetic waves from dielectric coated conducting spheres,” IEEE Trans. Antennas Propag. AP-12, 334–340 (1964). [CrossRef]
  4. E. L. Murphy, “Reduction of electromagnetic backscatter from a plasma-clad conducting body,” J. Appl. Phys. 36, 1918–1927 (1965). [CrossRef]
  5. A. L. Aden, M. Kerker, “Scattering of electromagnetic waves from 2 concentric spheres,” J. Appl. Phys. 22, 1242–1246 (1951). [CrossRef]
  6. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  7. H. M. Nussenzweig, Diffraction Effects in Semiclassical Scattering (Cambridge U. Press, Cambridge, UK, 1992).
  8. L. G. Guimarães, H. M. Nussenzveig, “Theory of Mie resonances and ripple fluctuations,” Opt. Commun. 89, 363–369 (1992). [CrossRef]
  9. L. G. Guimarães, H. M. Nussenzveig, “Uniform approximation to Mie resonances,” J. Mod. Opt. 41, 625–647 (1994). [CrossRef]
  10. L. G. Guimarães, “Theory of Mie caustics,” Opt. Commun. 103, 339–344 (1993). [CrossRef]
  11. T. Kaiser, S. Lange, G. Schweiger, “Structural resonances in a coated sphere—investigation of the volume-averaged source function and resonance positions,” Appl. Opt. 33, 7789–7797 (1994). [CrossRef] [PubMed]
  12. B. R. Johnson, “Theory of morphology-dependent resonances: shape resonances and width formulas,” J. Opt. Soc. Am. A 10, 343–352 (1993). [CrossRef]
  13. T. M. Bambino, L. G. Guimarães, “Resonances of a coated sphere,” Phys. Rev. E 53, 2859–2863 (1996). [CrossRef]
  14. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  15. S. C. Hill, R. E. Benner, Optical Effects Associated with Small Particles (World Scientific, Singapore, 1988).
  16. S. C. Hill, R. K. Chang, Nonlinear Optics in Droplets (Nova Science, New York, 1995).
  17. S. M. Spillane, T. J. Kippenberg, K. J. Vahala, “Ultralow-threshold Raman laser using a spherical dielectric microcavity,” Nature 415, 621–623 (2002). [CrossRef] [PubMed]
  18. M. Cai, O. Painter, K. J. Vahala, P. C. Sercel, “Fiber-coupled microsphere laser,” Opt. Lett. 25, 1430–1432 (2000). [CrossRef]
  19. J. A. Lock, J. M. Jamison, C. Y. Lin, “Rainbow scattering by a coated sphere,” Appl. Opt. 33, 4677–4690 (1994). [CrossRef] [PubMed]
  20. G. Roll, T. Kaiser, S. Lange, G. Schweiger, “Ray interpretation of multipole fields in spherical dielectric cavities,” J. Opt. Soc. Am. A 15, 2879–2891 (1998). [CrossRef]
  21. C. J. Joachain, Quantum Collision Theory (North-Holland, Amsterdam, 1987).
  22. J. R. Taylor, Scattering Theory: The Quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972).
  23. G. Videen, J. Li, P. Chýlek, “Resonances and poles of weakly absorbing spheres,” J. Opt. Soc. Am. A 12, 916–921 (1995). [CrossRef]
  24. E. P. Wigner, “Lower limit for the energy derivative of the scattering phase shift,” Phys. Rev. 98, 145–147 (1955). [CrossRef]
  25. M. L. Goldberger, K. M. Watson, Collision Theory (Wiley, New York, 1964).
  26. H. M. Nussenzveig, “Time delay in electromagnetic scattering,” Phys. Rev. A 55, 1012–1019 (1997). [CrossRef]
  27. M. Abramowitz, I. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1968).
  28. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
  29. J. B. Keller, S. I. Rubinow, “Asymptotic solution of eigenvalue problems,” Ann. Phys. 9, 24–75 (1960). [CrossRef]
  30. R. W. Robinett, “Periodic orbit theory analysis of the circular disk or annular billiard: nonclassical effects and the distribution of energy eigenvalues,” Am. J. Phys. 67, 67–77 (1999). [CrossRef]
  31. P. Chýlek, G. Videen, D. Ngo, R. G. Pinnick, J. D. Klett, “Effect of black carbon on the optical properties and climate forcing of sulfate aerosols,” J. Geophys. Res. Atmos. 100, 16325–16332 (1995). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited