OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2119–2123

Optical transmittance of plane-parallel-faces saturable nonlinear media

Alberto Lencina and Pablo Vaveliuk  »View Author Affiliations


JOSA B, Vol. 24, Issue 9, pp. 2119-2123 (2007)
http://dx.doi.org/10.1364/JOSAB.24.002119


View Full Text Article

Enhanced HTML    Acrobat PDF (188 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The transmittance of saturable nonlinear media under plane-wave excitation is analyzed for a Fabry–Perot geometry. The medium response is studied in terms of both a squared-field amplitude modulus and a time-averaged Poynting vector modulus. It was observed that both cases provide similar transmittance for the parameter range considered. For the nonlinearity proportional to the time-averaged Poynting vector modulus, a simple analytical expression for transmittance is derived as an Airy-type pattern. This allows us to perform a global analysis on the optical properties in terms of the nonlinear parameters and medium thickness. Several types of behavior were found at different parameter regions. Bistability happens only for excitation intensities around the saturation value. Finally, some possible implications of our results for bistable solitons are proposed.

© 2007 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Nonlinear Optics

History
Original Manuscript: March 5, 2007
Revised Manuscript: April 24, 2007
Manuscript Accepted: April 30, 2007
Published: August 3, 2007

Citation
Alberto Lencina and Pablo Vaveliuk, "Optical transmittance of plane-parallel-faces saturable nonlinear media," J. Opt. Soc. Am. B 24, 2119-2123 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-9-2119


Sort:  Year  |  Journal  |  Reset  

References

  1. A. W. Snyder and A. P. Sheppard, "Bound-vector solitary waves in isotropic nonlinear dispersive media," Opt. Lett. 18, 1406-1408 (1993). [CrossRef] [PubMed]
  2. P. Vaveliuk, A. Lencina, P. C. de Oliveira, and N. Bolognini, "Photorefractive harmonic gratings within the shallow trap model," IEEE J. Quantum Electron. 38, 1541-1549 (2002). [CrossRef]
  3. W. Chen and D. L. Mills, "Optical response of a nonlinear dielectric film," Phys. Rev. B 35, 524-532 (1987). [CrossRef]
  4. A. Lencina, P. Vaveliuk, B. Ruiz, M. Tebaldi, and N. Bolognini, "Wave propagation and optical properties in slabs with light-induced free charge carriers," Phys. Rev. E 74, 056614 (2006). [CrossRef]
  5. A. Lencina and P. Vaveliuk, "Squared-field amplitude modulus and radiation intensity nonequivalence within nonlinear slabs," Phys. Rev. E 71, 056614 (2005). [CrossRef]
  6. M. Segev, "Optical spatial solitons," Opt. Quantum Electron. 30, 503-533 (1998). [CrossRef]
  7. J. Atai, Y. Chen, and J. M. Soto-Crespo, "Stability of three-dimensional self-trapped beams with a dark spot surrounded by bright rings of varying intensity," Phys. Rev. A 49, R3170-R3173 (1994). [CrossRef] [PubMed]
  8. P. W. Smith, Y. Silberberg, and D. A. B. Miller, "Mode locking of semiconductor lasers using saturable excitonic nonlinearities," J. Opt. Soc. Am. B 2, 1228-1236 (1985). [CrossRef]
  9. U. Keller, "Recent developments in compact ultrafast lasers," Nature 424, 831-838 (2003). [CrossRef] [PubMed]
  10. Y. S. Kivshar and B. Luther-Davies, "Dark optical solitons: physics and applications," Phys. Rep. 298, 81-197 (1998). [CrossRef]
  11. P. Vaveliuk, B. Ruiz, and A. Lencina, "Limits of the paraxial approximation in laser beams," Opt. Lett. 32, 927-929 (2007). [CrossRef] [PubMed]
  12. A. Lencina, B. Ruiz, and P. Vaveliuk, "Alternative method for wave propagation within bounded linear media: conceptual and practical implications," Optik (Stuttgart) (to be published).
  13. G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, "Bright and dark photovoltaic spatial solitons," Phys. Rev. A 50, R4457-R4460 (1994). [CrossRef] [PubMed]
  14. R. Redheffer, "Steen's equation and its generalizations," Aequ. Math. 58, 60-72 (1999).
  15. H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 3rd ed. (World Scientific, 1998), p. 274.
  16. A. E. Kaplan, "Bistable solitons," Phys. Rev. Lett. 55, 1291-1294 (1985). [CrossRef] [PubMed]
  17. R. H. Enns and L. J. Mulder, "Bistable holes in nonlinear optical fibers," Opt. Lett. 14, 509-511 (1989). [CrossRef] [PubMed]

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.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited