OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 22, Iss. 12 — Dec. 1, 2005
  • pp: 2827–2837

Nonadditivity of Poynting vector within opaque media

Guillermo P. Ortiz and W. Luis Mochán  »View Author Affiliations


JOSA A, Vol. 22, Issue 12, pp. 2827-2837 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002827


View Full Text Article

Enhanced HTML    Acrobat PDF (285 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The energy flux within an opaque medium near an interface is not the sum of an incident plus a reflected term, as there is a synergistic contribution to the time-averaged Poynting vector that involves simultaneously both the incident and reflected fields. Therefore, the well-known formula R + T = 1 , where R is the reflectance and T the transmittance, does not hold, and furthermore, R and T lose their accepted meanings. We illustrate the perils of assuming energy flux additivity by calculating the transmission and reflection spectrum of a film over a substrate normally illuminated by incoherent light at frequencies in the neighborhood of an optical resonance. We also show that the usual relation between the scattering, absorption, and extinction cross sections for particles immersed within a dissipative host have to be modified to account for the nonadditivity.

© 2005 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(240.0310) Optics at surfaces : Thin films
(260.0260) Physical optics : Physical optics
(290.5850) Scattering : Scattering, particles
(310.6860) Thin films : Thin films, optical properties

ToC Category:
Physical Optics

History
Original Manuscript: March 10, 2005
Revised Manuscript: May 7, 2005
Manuscript Accepted: May 12, 2005
Published: December 1, 2005

Citation
Guillermo P. Ortiz and W. Luis Mochán, "Nonadditivity of Poynting vector within opaque media," J. Opt. Soc. Am. A 22, 2827-2837 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-12-2827


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. B. Rossi, Optics (Addison-Wesley, 1962), p. 414.
  2. M. Born, E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999), p. 311.
  3. E. Hecht, Optics, 2nd ed. (Addison-Wesley, 1990), p. 250.
  4. L. E. R. Petersson, G. S. Smith, “Role of evanescent waves in power calculations for counterpropagating beams,” J. Opt. Soc. Am. A 20, 2378–2384 (2003). [CrossRef]
  5. M. Klein, Optics (Wiley, 1970), p. 573.
  6. J. Mathieu, Optics (Pergamon, 1975), p. 15.
  7. Ref. [3], p. 102.
  8. Ref. [2], p. 745.
  9. Ref. [1], p. 135.
  10. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, 1975), Sect. 7.3.
  11. C. F. Bohren, D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983), Sect. 2.8.
  12. R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem, 2nd ed. (Dover, 1992), Chap. 2.
  13. Ref. [3], Chap. 4.
  14. W. L. Mochán, Centro de Ciencias Físicas, Universidad Nacional Autónoma de México, Apartado Postal 48-3, 62251 Cuernavaca, Morelos, México, and G. P. Ortiz are preparing a manuscript to be called “Energy flow non-additivity for evanescent waves.”
  15. Ph. Balcou, L. Dutriaux, “Dual optical tunneling times in frustrated total internal reflection,” Phys. Rev. Lett. 78, 851–854 (1997). [CrossRef]
  16. Vera L. Brudny, Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Cd. Universitaria, Pabellón 1, C1428 EHA Buenos Aires, Argentina, and W. Luis Mochán are preparing a manuscript to be called “Frustrated total internal reflection and the illusion of superluminal propagation.”
  17. Vera L. Brudny, W. Luis Mochán, “On the apparent superluminality of evanescent waves,” Opt. Express 9, 561–566 (2001), (http://www.opticsexpress.org/abstract.cfm?URI=OPEX-9-11-561). [CrossRef] [PubMed]
  18. W. Luis Mochán, Vera L. Brudny, “Comment on ‘Noncausal time response in frustrated total internal reflection?’” Phys. Rev. Lett. 87, 119101 (2001). [CrossRef]
  19. V. Freilikher, M. Pustilnik, I. Yurkevich, “Statistical properties of the reflectance and transmittance of an amplifying random medium,” Phys. Rev. B 56, 5974–5977 (1997). [CrossRef]
  20. Wei Jiang, Changde Gong, “Two mechanisms, three stages of the localization of light in a disordered dielectric structure with photonic band gaps,” Phys. Rev. B 60, 12015–12022 (1999). [CrossRef]
  21. H. I. Pérez-Aguilar, Esparcimiento de Luz en un Medio Amplificador, Master’s thesis, (CICESE, Ensenada, B. C., México 2003).
  22. W. C. Mundy, J. A. Roux, A. M. Smith, “Mie scattering by spheres in an absorbing medium,” J. Opt. Soc. Am. 64, 1593–1597 (1974). [CrossRef]
  23. P. Chýlek, “Light scattering by small particles in an absorbing medium,” J. Opt. Soc. Am. 67, 561–563 (1977). [CrossRef]
  24. C. F. Bohren, D. P. Gilra, “Extinction by a spherical particle in an absorbing medium,” J. Colloid Interface Sci. 72, 215–221 (1979). [CrossRef]
  25. Q. Fu, W. Sun, “Mie theory for light scattering by a spherical particle in an absorbing medium,” Appl. Opt. 40, 1354–1361 (2001). [CrossRef]
  26. I. W. Sudiarta, P. Chýlek, “Mie-scattering formalism for spherical particles embedded in an absorbing medium,” J. Opt. Soc. Am. A 18, 1275–1278 (2001). [CrossRef]
  27. G. Barton, Elements of Green’s Functions and Propagation (Oxford U. Press, 1995), Chap. 2.
  28. Ref. [11], p. 73.

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