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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 20, Iss. 8 — Aug. 1, 2003
  • pp: 1724–1731

Nonlinear bidirectional beam propagation method based on scattering operators for periodic microstructured waveguides

Andrea Locatelli, Daniele Modotto, Costantino De Angelis, Filippo Maria Pigozzo, and Antonio-Daniele Capobianco  »View Author Affiliations


JOSA B, Vol. 20, Issue 8, pp. 1724-1731 (2003)
http://dx.doi.org/10.1364/JOSAB.20.001724


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Abstract

Beginning with a recently proposed bidirectional beam propagation method based on scattering operators, we develop an accurate and efficient method for the analysis of periodic microstructured waveguides in a nonlinear regime. This novel numerical tool allows us to describe the role played by losses that are due to diffraction and the effects of the finite size of the beams in nonlinear optical devices with strong lateral confinement of the optical intensity. We demonstrate the effectiveness and the efficiency of our method with numerical examples.

© 2003 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.3270) Nonlinear optics : Kerr effect
(260.1180) Physical optics : Crystal optics
(260.1960) Physical optics : Diffraction theory

Citation
Andrea Locatelli, Daniele Modotto, Costantino De Angelis, Filippo Maria Pigozzo, and Antonio-Daniele Capobianco, "Nonlinear bidirectional beam propagation method based on scattering operators for periodic microstructured waveguides," J. Opt. Soc. Am. B 20, 1724-1731 (2003)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-20-8-1724


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References

  1. A. Locatelli, F. M. Pigozzo, D. Modotto, A. D. Capobianco, and C. De Angelis, “Bidirectional beam propagation method for multilayered dielectrics with quadratic nonlinearity,” IEEE J. Sel. Top. Quantum Electron. 8, 440–447 (2002).
  2. A. Locatelli, F. M. Pigozzo, D. Modotto, A. D. Capobianco, and C. De Angelis, “Novel bidirectional propagation method for quadratic nonlinear multilayers,” IEEE Photon. Technol. Lett. 14, 1536–1538 (2002).
  3. A. Locatelli, F. M. Pigozzo, F. Baronio, D. Modotto, A. D. Capobianco, and C. De Angelis, “Bidirectional beam propagation method for second-harmonic generation in engineered multilayered waveguides,” Opt. Quantum Electron. 35, 429–452 (2003).
  4. H. Rao, R. Scarmozzino, and R. M. Osgood, Jr., “A bidirectional beam propagation method for multiple dielectric interfaces,” IEEE Photon. Technol. Lett. 11, 830–832 (1999).
  5. H. Rao, M. J. Steel, R. Scarmozzino, and R. M. Osgood, Jr., “Complex propagators for evanescent waves in bidirectional beam propagation method,” J. Lightwave Technol. 18, 1155–1160 (2000).
  6. H. El-Refaei, D. Yevick, and I. Betty, “Stable and noniterative bidirectional beam propagation method,” IEEE Photon. Technol. Lett. 12, 389–391 (2000).
  7. P. L. Ho and Y. Y. Lu, “A stable bidirectional propagation method based on scattering operators,” IEEE Photon. Technol. Lett. 13, 1316–1318 (2001).
  8. P. L. Ho and Y. Y. Lu, “A bidirectional beam propagation method for periodic waveguides,” IEEE Photon. Technol. Lett. 14, 325–327 (2002).
  9. H. El-Refaei, I. Betty, and D. Yevick, “The application of complex Padé approximants to reflection at optical waveguide facets,” IEEE Photon. Technol. Lett. 12, 158–160 (2000).
  10. F. A. Milinazzo, C. A. Zala, and G. H. Brooke, “Rational square-root approximations for parabolic equation algorithms,” J. Acoust. Soc. Am. 101, 760–766 (1997).
  11. Y. Y. Lu, “A complex coefficient rational approximation of 1+x,” Appl. Numer. Math. 27, 141–154 (1998).
  12. D. Yevick and D. Thomson, “Complex Padé approximants for wide-angle acoustic propagators,” J. Acoust. Soc. Am. 108, 2784–2790 (2000).
  13. G. Agrawal, Nonlinear Fiber Optics: Principles and Applications (Academic, New York, 1989).
  14. M. D. Feit and J. A. Fleck, “Light propagation in graded-index optical fibers,” Appl. Opt. 17, 3990–3998 (1978).
  15. H. Rao and R. M. Osgood, Jr., “Bidirectional beam propagation method for computation in nonlinear optics,” in Integrated Photonics Research, Vol. 58 of OSA Trends in Optics and Photonics (Optical Society of America, Washington, D.C., 2001).
  16. A. D. Capobianco, D. Brillo, C. De Angelis, and G. F. Nalesso, “Fast beam propagation method for the analysis of second-order nonlinear phenomena,” IEEE Photon. Technol. Lett. 10, 543–545 (1998).
  17. C. De Angelis, F. Gringoli, M. Midrio, D. Modotto, J. S. Aitchison, and G. F. Nalesso, “Conversion efficiency for second-harmonic generation in photonic crystals,” J. Opt. Soc. Am. B 18, 348–351 (2001).
  18. M. Scalora, M. J. Bloemer, A. S. Manka, J. P. Dowling, C. M. Bowden, R. Viswanathan, and J. W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
  19. B. Shi, Z. M. Jiang, and X. Wang, “Defective photonic crystals with greatly enhanced second-harmonic generation,” Opt. Lett. 26, 1194–1196 (2001).
  20. C. Vassallo and F. Collino, “Highly efficient absorbing boundary conditions for the beam propagation method,” J. Lightwave Technol. 14, 1570–1577 (1996).

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