OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 28 — Oct. 1, 2009
  • pp: 5401–5406

Modeling of amplification and light generation in one-dimensional photonic crystal using a multiwavelength transfer matrix approach

Paweł Szczepański, Tomasz Osuch, and Zbigniew Jaroszewicz  »View Author Affiliations

Applied Optics, Vol. 48, Issue 28, pp. 5401-5406 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (595 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present an analysis of amplification and lasing in one-dimensional isotropic nonlinear photonic crystal (1D PC), which is based on a generalized (multiwavelength) transfer matrix method. This approach was used for modeling a Raman signal amplification in 1D PC and in an homogenous structure, showing advantages of a stratified medium. Moreover, the threshold operation of a 1D PC Raman laser is studied, assuming both strong as well as depleted pump. The normalized threshold gain characteristics for various end reflections and photonic crystal laser length were calculated.

© 2009 Optical Society of America

OCIS Codes
(190.4360) Nonlinear optics : Nonlinear optics, devices
(050.5298) Diffraction and gratings : Photonic crystals

ToC Category:
Nonlinear Optics

Original Manuscript: February 2, 2009
Revised Manuscript: June 20, 2009
Manuscript Accepted: September 10, 2009
Published: September 25, 2009

Paweł Szczepański, Tomasz Osuch, and Zbigniew Jaroszewicz, "Modeling of amplification and light generation in one-dimensional photonic crystal using a multiwavelength transfer matrix approach," Appl. Opt. 48, 5401-5406 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. Yariv and P. Yeh, Optical Waves in Crystals: Propagation and Control of Laser Radiation(Wiley-Interscience, 2002).
  2. J. J. Li, Z. Y. Li, and D. Z. Zhang, “Second harmonic generation in one-dimensional nonlinear photonic crystals solved by the transfer matrix method,” Phys. Rev. E 75, 056606 (2007). [CrossRef]
  3. B. G. Kim and E. Garmire, “Comparison between the matrix method and the coupled-wave method in the analysis of Bragg reflector structures,” J. Opt. Soc. Am. A 9, 132-136 (1992). [CrossRef]
  4. S. K. Srivastava and S. P. Ojha, “Reflection and anomalous behavior of refractive index in defect photonic band gap structure,” Microw. Opt. Technol. Lett. 38, 293-297 (2003). [CrossRef]
  5. P. Yeh, A. Yariv, and C. S. Hong, “Electromagnetic propagation in periodic stratified media. I. General theory,” J. Opt. Soc. Am. A 67, 423-438 (1977). [CrossRef]
  6. M. Bayindir, C. Kural, and E. Ozbay, “Coupled optical microcavities in one-dimensional photonic bandgap structures,” J. Opt. A Pure Appl. Opt. 3, S184 (2001). [CrossRef]
  7. J. M. Bendickson, J. P. Dowling, and M. Scarola, “Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures,” Phys. Rev. E 53, 4107 (1996). [CrossRef]
  8. D. S. Bethune, “Optical harmonic generation and mixing in multilayer media: analysis using optical transfer matrix techniques,” J. Opt. Soc. Am. B 6, 910-916 (1989). [CrossRef]
  9. Y. Jeong and B. Lee, “Matrix analysis for layered quasi-phase-matched media considering multiple reflection and pump wave depletion,” IEEE J. Quantum Electron. 35, 162-172(1999). [CrossRef]
  10. M. F. Saleh, L. D. Negro, and B. E. A. Saleh, “Second-order parametric interactions in 1-D photonic-crystal microcavity structures,” Opt. Express 16, 5261-5276 (2008). [CrossRef] [PubMed]
  11. P. Szczepański, T. Osuch, Z. Jaroszewicz, and M. Buryk, ““Color” transfer matrix method in nonlinear medium,” in Frontier in Optics 2008/Laser Science XXIV/Plasmonics and Metamaterials/Optical Fabrication and Testing on CD-ROM (Optical Society of America, 2008), paper JWA54. [PubMed]
  12. L. Florescu and X. Zhang, “Semiclassical model of stimulated Raman scattering in photonic crystals,” Phys. Rev. E 72, 016611 (2005). [CrossRef]
  13. R. E. Slusher and B. J. Eggleton, Nonlinear Photonic Crystals (Springer, 2004).
  14. T. K. Liang and H. K. Tsang, “Efficient Raman amplification in silicon-on-insulator waveguides,” Appl. Phys. Lett. 85, 3343 (2004). [CrossRef]
  15. T. K. Liang, L. R. Nunes, H. K. Tsang, and M. Tsuchiya, “Theoretical analysis of continuous-wave Raman gain/lasing in silicon wire waveguides without carrier extraction scheme,” IEICE Electronics Express 2, 440-445 (2005). [CrossRef]
  16. A. Liu, H. Rong, M. Paniccia, O. Cohen, and D. Hak, “Net optical gain in low loss silicon-on-insulator waveguide by stimulated Raman scattering,” Opt. Express 12, 4261-4268 (2004). [CrossRef] [PubMed]
  17. H. Ghafouri-Shiraz, Distributed Feedback Laser Diodes and Optical Tunable Filters (Wiley, 2003). [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