OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 7, Iss. 1 — Jan. 1, 1990
  • pp: 21–29

Spectral approach to optical propagation across a linear—nonlinear interface

P. P. Banerjee, M. R. Chatterjee, and M. Maghraoui  »View Author Affiliations


JOSA B, Vol. 7, Issue 1, pp. 21-29 (1990)
http://dx.doi.org/10.1364/JOSAB.7.000021


View Full Text Article

Acrobat PDF (911 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Propagation of optical signals across a linear—nonlinear interface is investigated by using a spectral decomposition technique involving discrete sideband frequencies. The complexity of the analysis is shown to be appreciably reduced by assuming incommensurate discrete sidebands around the carrier. The efficacy of this formalism is tested for various cases, including discrete stationary modes, evolution of discrete sidebands assuming an undepleted carrier, and, finally, AM pulse propagation across the interface. Among several interesting results, the formation of a narrow-band FM pulse, spatially separated from the ubiquitous AM pulse, is demonstrated. The latter result may be interpreted as a test of the stability of the uniform plane-wave solution.

© 1990 Optical Society of America

Citation
P. P. Banerjee, M. R. Chatterjee, and M. Maghraoui, "Spectral approach to optical propagation across a linear—nonlinear interface," J. Opt. Soc. Am. B 7, 21-29 (1990)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-7-1-21


Sort:  Author  |  Journal  |  Reset

References

  1. A. E. Kaplan, in Optical Bistability, C. M. Bowden, N. Ciften, and H. R. Robl, eds. (Plenum, New York, 1981).
  2. P. W. Smith and W. J. Tomlinson, in Optical Bistability, C. M. Bowden, N. Ciften, and H. R. Robl, eds. (Plenum, New York, 1981).
  3. W. J. Tomlinson, J. P. Gordon, P. W. Smith, and A. E. Kaplan, Appl. Opt. 21, 2041 (1982).
  4. P. W. Smith, W. J. Tomlinson, P. J. Maloney, and J.-P. Hermann, IEEE J. Quantum Electron. QE-17, 340 (1981).
  5. A. B. Aceves, J. V. Moloney, and A. C. Newell, J. Opt. Soc. Am. B 5, 559 (1988).
  6. A. B. Aceves, J. V. Moloney, and A. C. Newell, Phys. Rev. A 39, 1809 (1989).
  7. G. Cao and P. P. Banerjee, J. Opt. Soc. Am. B 6, 191 (1989).
  8. See, for instance, A. C. Newell, Solitons in Mathematics and Physics (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1985).
  9. A. Korpel and P. P. Banerjee, Proc. IEEE 72, 1109 (1984).
  10. R. Penrose, Bull. Inst. Math. Appl. 10, 266 (1974).
  11. D. Levine and P. J. Steinhardt, Phys. Rev. Lett. 53, 2477 (1984).
  12. G. Indebetouw, K. P. Lo, and K. C. Ho, J. Opt. Soc. Am. A 5, 1030 (1988).
  13. R. F. Harrington, Time Harmonic Electromagnetic Fields (McGraw-Hill, New York, 1968).
  14. E. Butkov, Mathematical Physics (Addison-Wesley, Reading, Mass., 1968).

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