Abstract

A full vectorial three-dimensional beam-propagation method (BPM) based on the finite-element method is described for the analysis of second harmonic generation (SHG). Quasi-phase-matched SHG devices with periodically domain-inverted GaAlAs-and LiTaO3-based waveguides are analyzed. The influences of the shape of domain-inverted regions and of the inversion width on the conversion efficiencies are investigated in detail. The results of full-wave analysis are compared to those of approximate scalar analysis.

© 2001 IEEE

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J. Lightwave Technol.

D. Schulz, C. Glingener, M. Bludszuweit and E. Voges, "Mixed finite element beam propagation method", J. Lightwave Technol., vol. 16, pp. 1336-1342, July 1998 .

M. Koshiba, S. Maruyama and K. Hirayama, "A vector finite element method with the high-order mixed-interpolation-type triangular elements for optical waveguiding problems", J. Lightwave Technol., vol. 12, pp. 495-502, Mar. 1994 .

Opt. Lett.

Other

D. Delacourt, F. Armani and M. Papuchon, "Second-harmonic generation efficiency in periodically poled LiNbO3 waveguides", IEEE J. Quantum Electron., vol. 30, pp. 1090-1099, Apr. 1994 .

H. M. Masoudi and J. M. Arnold, "Modeling second-order nonlinear effects in optical waveguides using a parallel-processing beam propagation method", IEEE J. Quantum Electron., vol. 31, pp. 2107 -2113, Dec. 1995.

F. A. Katsriku, B. M. A. Rahman and K. T. V. Grattan, "Numerical modeling of second harmonic generation in optical waveguides using the finite element method", IEEE J. Quantum Electron., vol. 33, pp. 1727-1733, Oct. 1997.

F. A. Katsriku, B. M. A. Rahman and K. T. V. Grattan, "Finite-element analysis of second-harmonic generation in AlGaAs waveguides", IEEE J. Quantum Electron., vol. 36, pp. 282-289, Mar. 2000.

T. Yasui and M. Koshiba, "Three-dimensional beam propagation analysis of quasiphase matched second harmonic generation devices with triangular and semi-circular domain inversion profiles", IEICE Trans. Electron., vol. E83-C, pp. 697-704, May 2000.

K. Hayata and M. Koshiba, "Numerical study of guided-wave sum-frequency generation through second-order nonlinear parametric processes", J. Opt. Soc. Amer. B, vol. 8, pp. 449-458, Feb. 1991.

J. A. Armstrong, N. Bloembergen, J. Ducuing and P. S. Pershan, "Interactions between light waves in a nonlinear dielectric", Phys. Rev., vol. 127, pp. 1918 -1939, Sept. 1962.

E. J. Lim, M. M. Fejer and R. L. Byer, "Second-harmonic generation of green light in periodically poled planar lithium niobate waveguide", Electron. Lett., vol. 25, pp. 174-175, Feb. 1989.

J. Webjörn, F. Laurell and G. Arvidsson, "Blue light generated by frequency doubling of laser diode light in a lithium niobate channel waveguide", IEEE Photon. Technol. Lett., vol. 1, pp. 316-318, Oct. 1989.

K. Mizuuchi, K. Yamamoto and T. Taniuchi, "Second-harmonic generation of blue light in a LiTaO3 waveguide", Appl. Phys. Lett. , vol. 58, pp. 2732-2734, June 1991.

K. Mizuuchi and K. Yamamoto, "Highly efficient quasiphase-matched second-harmonic generation using a first-order periodically domain-inverted LiTaO 3 waveguide", Appl. Phys. Lett., vol. 60, pp. 1283-1285, March 1992.

S. J. B. Yoo, R. Bhat, C. Caneau and M. A. Koza, "Quasiphase-matched second-harmonic generation in AlGaAs waveguides with periodic domain inversion achieved by wafer-bonding", Appl. Phys. Lett., vol. 66, pp. 3410-3412, June 1995.

A. Yariv and P. Yeh, Optical Waves in Crystals, New York: Wiley, 1984, pp. 508-515.

K. Hayata, T. Sugawara and M. Koshiba, "Modal analysis of the second-harmonic electromagnetic field generated by the Cherenkov effect in optical waveguides", IEEE J. Quantum Electron., vol. 26, pp. 123-134, Jan. 1990.

Y. Tsuji and M. Koshiba, "Finite element beam propagation method with perfectly matched layer boundary conditions for three-dimensional optical waveguides", Int. J. Numer. Modeling: Electron. Networks, Devices and Fields, vol. 13, pp. 115-126, 2000.

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