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Journal of Lightwave Technology

Journal of Lightwave Technology


  • Vol. 27, Iss. 22 — Nov. 15, 2009
  • pp: 4964–4969

Efficient NL-FDTD Solution Schemes for the Phase-Sensitive Second Harmonic Generation Problem

Mohammad A. Alsunaidi and Fawziyah S. Al-Hajiri

Journal of Lightwave Technology, Vol. 27, Issue 22, pp. 4964-4969 (2009)

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A combination of a higher order accurate FDTD algorithm, a decoupling procedure, and a moving computational window is presented for the solution of the phase-sensitive second harmonic generation problem. The requirement that the spatial step size in the propagation direction be a small fraction of the wavelength is significantly relaxed using the proposed efficient FDTD schemes. It has been shown that these fully explicit schemes deliver convergence of the solution using significantly less computation time and less memory requirement as compared to the standard FDTD scheme.

© 2009 IEEE

Mohammad A. Alsunaidi and Fawziyah S. Al-Hajiri, "Efficient NL-FDTD Solution Schemes for the Phase-Sensitive Second Harmonic Generation Problem," J. Lightwave Technol. 27, 4964-4969 (2009)

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  1. R. Ziolkowski, "The incorporation of microscopic material models into the FDTD approach for ultrafast optical pulse simulation," IEEE Trans. Antennas Propagat. 45, 375-391 (1997).
  2. R. Ziolkowski, J. Judkins, "Application of the nonlinear finite-difference time-domain (NL-FDTD) method to pulse propagation in nonlinear media: Self-focusing and linear-nonlinear interfaces," Radio Sci. 28, 901-911 (1993).
  3. A. Taflove, S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, 2000).
  4. M. A. Alsunaidi, H. M. Masoudi, J. M. Arnold, "A time-domain algorithm for second harmonic generation in nonlinear optical structures," IEEE Photon. Technol. Lett. 12, 395-397 (2000).
  5. P. Goorjian, A. Taflove, R. Joseph, C. Hagness, "Computational modeling of femtosecond optical solitons from Maxwell's equations," IEEE J. Quant. Electron. 28, 2416-2422 (1992).
  6. K. Hwang, J. Ihm, "A stable fourth-order FDTD method for modeling electrically long dielectric waveguides," J. Lightw. Technol. 24, 1048-1056 (2006).
  7. K. Shlager, J. Schneider, "Comparison of dispersion properties of several low-dispersion finite-difference time-domain algorithms," IEEE Trans. Antennas Propagat. 51, 642-653 (2003).
  8. R. Joseph, A. Taflove, "FDTD Maxwell's equations models for nonlinear electrodynamics and optics," IEEE Trans. Antennas Propagat. 45, 364-374 (1997).
  9. T. Lee, S. C. Hagness, "Pseudospectral time-domain methods for modeling optical wave propagation in second-order nonlinear materials," J. Opt. Soc. Amer. B. 21, 330-342 (2004).
  10. C. M. Reinke, A. Jafarpour, B. Momeni, M. Soltani, S. Khorasani, A. Adibi, Y. Xu, R. K. Lee, "Nonlinear finite-difference time-domain method for the simulation of anisotropic, $\chi^{(2)}$, and $\chi^{(3)}$ optical effects," J Lightw. Tech. 24, 624-634 (2006).
  11. M. Fejer, G. Magel, D. Jundt, R. Byer, "Quasi-phase matched second harmonic generation: Tuning and tolerance," IEEE J. Quant. Electron. 28, 2631-2635 (1992).
  12. E. Sidick, A. Knosen, A. Dienes, "Ultrashort-pulse second-harmonic generation. I. Transform-limited fundamental pulses," J. Opt. Soc. Amer. B 12, 1704-1712 (1995).
  13. K. M. Furati, M. A. Alsunaidi, H. M. Masoudi, "An explicit finite difference scheme for wave propagation in nonlinear optical structures," Appl. Math. Lett. 14, 297-302 (2001).
  14. A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, 1984).

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