Abstract

An iterative finite difference beam propagation method based on the Crank-Nicholson scheme is presented to simulate continuous wave (CW) second-order nonlinear effects in optical waveguides with the depletion of the pump wave taken into account. This method is an extension of the linear finite-difference beam propagation method and preserves the same order of accuracy. Comparisons with the previously published explicit finite difference beam propagation method and the rectangular approximation method are presented. Quasi-phase matched difference frequency generation in AlGaAs and quasi-phase-matched second harmonic generation in LiNbO3 are considered in the evaluation, showing that one iteration for the IFD-BPM is sufficient for the simulation with good accuracy and without increasing much computation time.

[IEEE ]

PDF Article

References

  • View by:
  • |

  1. M. L. Bortz and M. M. Fejer, "Annealed proton exchanged LiNbO3 waveguides," Opt. Lett., vol. 6, pp. 1844-1846, 1991.
  2. O. Pfister, J. S. Wells, L. Hollberg, L. Zink, D. A. Van Baak, M. D. Levenson, and W. R. Bosenberg, "Continuous-wave frequency tripling and quadrupling by simultaneous three-wave mixing in periodically poled crystal: Application to a two-step 1.19-10.71-\mum frequency bridge," Opt. Lett., vol. 22, pp. 1211-1213, 1997.
  3. M. L. Sundheimer, Ch. Bosshard, E. W. Van Stryland, and G. I. Stegeman, "Large nonlinear phase modulation in quasiphase-matched KTP waveguides as a result of cascaded second-order processes," Opt. Lett., vol. 18, pp. 1397-1399, 1993.
  4. M. A. Arbore, O. Marco, and M. M. Fejer, "Pulse compression during second-harmonic generation in aperiodic quasiphase-matching gratings," Opt. Lett., vol. 22, pp. 865-867, 1997.
  5. --, "Three-dimentional simulation of guided-wave second-harmonic generation in the form of coherent Cerenkov radiation," Opt. Lett., vol. 16, pp. 1563-1565, 1991.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.