OSA's Digital Library

Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 22, Iss. 2 — Feb. 1, 2004
  • pp: 684–

Time-Domain Beam Propagation Method for Nonlinear Optical Propagation Analysis and Its Application to Photonic Crystal Circuits

Takeshi Fujisawa and Masanori Koshiba

Journal of Lightwave Technology, Vol. 22, Issue 2, pp. 684- (2004)


View Full Text Article

Acrobat PDF (691 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations
  • Export Citation/Save Click for help

Abstract

A time-domain beam propagation method (BPM) based on a finite-element scheme is newly formulated for nonlinear optical propagation analysis. In order to obtain steady-state solutions, a way of continuous-wave (CW) excitation is also described. The validity of this method is verified by numerical examples: self-focusing guiding phenomena and nonlinear gratings. Furthermore, this approach is also applied to characterizing nonlinear photonic crystal circuits. Specifically, a grating structure designed to modify the characteristics of light propagating within a photonic crystal waveguide and a stub-like structure including nonlinear rods are proposed, and the potential for use as optical limiting and switching devices is investigated.

© 2004 IEEE

Citation
Takeshi Fujisawa and Masanori Koshiba, "Time-Domain Beam Propagation Method for Nonlinear Optical Propagation Analysis and Its Application to Photonic Crystal Circuits," J. Lightwave Technol. 22, 684- (2004)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-22-2-684


Sort:  Journal  |  Reset

References

  1. H.-P. Nolting and R. März, "Results of benchmark tests for different numeircal BPM algorithms", J. Lightwave Technol., vol. 13, pp. 216-224, Feb. 1995.
  2. K. Hayata, A. Misawa and M. Koshiba, "Split-step finite-element method applied to nonlinear integrated optics", J. Opt. Soc. Amer. B, vol. 7, pp. 1772-1784, Sept. 1990.
  3. X. J. Meng and N. Okamoto, "Numerical analysis of a MQW-sandwich coupler with strong coupling", IEEE Photon. Technol. Lett., vol. 4, pp. 460-462, Apr. 1993.
  4. H. E. Hernández-Figueroa, F. Di Pasquale, D. R. Ettinger, F. A. Fernández and J. B. Davies, "Controlled spatial bright soliton emission from a nonlinear waveguide", Opt. Lett. , vol. 19, pp. 326-328, Mar. 1994.
  5. H. E. Hernández-Figueroa, "Improved split-step schemes for nonlinear optical propagation", J. Opt. Soc. Amer. B, vol. 11, pp. 798-803, May 1994.
  6. F. Di Pasquale and H. E. Hernández-Figueroa, "Improved all-optical switching in a three-slab nonlinear directional coupler with gain", IEEE J. Quantum Electron., vol. 30, pp. 1254-1258, May 1994.
  7. T. Yasui, M. Koshiba and Y. Tsuji, "A wide-angle finite element beam propagation method with perfectly matched layers for nonlinear optical waveguides", J. Lightwave Technol., vol. 17, pp. 1909-1915, Oct. 1999 .
  8. K. S. Yee, "Numerical solution of intial boundary value problems involving Maxwell's equations", IEEE Trans. Antennas Propag., vol. AP-14, pp. 302-307, May 1966.
  9. A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve and J. D. Joannopoulos, "High transmission through sharp bends in photonic crystal waveguides", Phys. Rev. Lett., vol. 77, pp. 3787-3790, Oct. 1996.
  10. P. Tran, "Optical switching with a nonlinear photonic crystal: A numerical study", Opt. Lett., vol. 21, pp. 1138 -1140, Aug. 1996.
  11. P. Tran, "Optical limiting and switching of short pulses by use of nonlinear photonic band gap structure with a defect", J. Opt. Soc. Amer. B, vol. 14, pp. 2589-2595, Oct. 1997.
  12. V. Van and S. K. Chaudhuri, "A hybrid implicit-explicit FDTD scheme for nonlinear optical waveguide modeling", IEEE Trans. Microwave Theory Tech., vol. 47, pp. 540-545, May 1999.
  13. M. Soljacik, M. Ibanescu, S. G. Johnson, Y. Fink and J. D. Joannopoulos, "Optimal bistable switching in nonlinear photonic crystals", Phys. Rev. E, vol. 66 055 601(R), Oct. 2002.
  14. M. Soljaciæ, C. Luo, J. D. Joannopoulos and S. Fan, "Nonlinear photonic crystal microdevices for optical integration", Opt. Lett., vol. 28, pp. 637-639, Apr. 2003.
  15. P.-L. Liu, Q. Zhao and F.-S. Choa, "Slow-wave finite-difference beam propagation method", IEEE Photon. Technol. Lett., vol. 7, pp. 890 -892, Aug. 1995.
  16. G. H. Jin, J. Harari, J. P. Vilcot and D. Decoster, "An improved time-domain beam propagation method for integrated optics components", IEEE Photon. Technol. Lett., vol. 9, pp. 348-350, Mar. 1997.
  17. M. Koshiba, Y. Tsuji and M. Hikari, "Time-domain beam propagation method and its application to photonic crystal circuits", J. Lightwave Technol., vol. 18, pp. 102-110, Jan. 2000.
  18. M. Koshiba, "Wavelength division multiplexing and demultiplexing with photonic crystal waveguide couplers", J. Lightwave Technol., vol. 19, pp. 1970-1975, Dec. 2001.
  19. F. L. Teixeira and W. C. Chew, "General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear media", IEEE Microwave Guided Wave Lett., vol. 8, pp. 223-225, June 1998.
  20. M. Koshiba, Y. Tsuji and S. Sasaki, "High-performance absorbing boundary conditions for photonic crystal waveguide simulations", IEEE Microwave Wireless Compon. Lett. , vol. 11, pp. 152-154, Apr. 2001.
  21. G. R. Hadley, "Wide-angle beam propagation using Padé approximant operators", Opt. Lett., vol. 17, pp. 1426 -1428, Oct. 1992.
  22. S. F. Mingaleev and Y. S. Kivshar, "Nonlinear transmission and light localization in photonic-crystal waveguides", J. Opt. Soc. Amer. B, vol. 19, pp. 2241-2249, Sept. 2002.

Cited By

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

OSA is a member of CrossRef.

CrossCheck Deposited