Abstract

We propose a new nonlinear hybrid vector finite-element method to study the propagation of an optical beam in a nonlinear waveguide in three space dimensions. The new method is a combination of the edge-element and finite-difference methods; the former applies to the waveguide cross section and the latter to the propagation direction. To validate our method, a planar nonlinear waveguide (consisting of a linear substrate, a linear film, and a Kerr-type cladding) that is end-fire excited by the TE0 and TM0 modes is studied numerically. We demonstrate that the external excitation of a nonlinear slab waveguide can produce sequential threshold behavior by means of multisoliton emission from the waveguide.

© 1996 Optical Society of America

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1994 (1)

J. F. Lee, IEEE Trans. Microwave Theory Tech. 42, 1025 (1994).
[CrossRef]

1993 (1)

1992 (2)

J. M. Liu, L. Gomelsky, J. Opt. Soc. Am. A 9, 1574 (1992).
[CrossRef]

P. M. Goorjian, A. Taflove, Opt. Lett. 17, 180 (1992).
[CrossRef] [PubMed]

1991 (1)

J. F. Lee, D. K. Sun, Z. Cendes, IEEE Trans. Microwave Theory Tech. 39, 1262 (1991).
[CrossRef]

1990 (1)

1989 (2)

K. Hayata, M. Koshiba, Electron. Lett. 25, 376 (1989).
[CrossRef]

K. Hayata, A. Misawa, M. Koshiba, Electron. Lett. 25, 661 (1989).
[CrossRef]

1978 (2)

Casperson, L.

Cendes, Z.

J. F. Lee, D. K. Sun, Z. Cendes, IEEE Trans. Microwave Theory Tech. 39, 1262 (1991).
[CrossRef]

De Angelis, C.

Feit, M. D.

Fleck, J. A.

Gomelsky, L.

J. M. Liu, L. Gomelsky, J. Opt. Soc. Am. A 9, 1574 (1992).
[CrossRef]

Goorjian, P. M.

Hayata, K.

K. Hayata, A. Misawa, M. Koshiba, J. Opt. Soc. Am. B 7, 1268 (1990).
[CrossRef]

K. Hayata, M. Koshiba, Electron. Lett. 25, 376 (1989).
[CrossRef]

K. Hayata, A. Misawa, M. Koshiba, Electron. Lett. 25, 661 (1989).
[CrossRef]

Koshiba, M.

K. Hayata, A. Misawa, M. Koshiba, J. Opt. Soc. Am. B 7, 1268 (1990).
[CrossRef]

K. Hayata, M. Koshiba, Electron. Lett. 25, 376 (1989).
[CrossRef]

K. Hayata, A. Misawa, M. Koshiba, Electron. Lett. 25, 661 (1989).
[CrossRef]

Lee, J. F.

J. F. Lee, IEEE Trans. Microwave Theory Tech. 42, 1025 (1994).
[CrossRef]

J. F. Lee, D. K. Sun, Z. Cendes, IEEE Trans. Microwave Theory Tech. 39, 1262 (1991).
[CrossRef]

Liu, J. M.

J. M. Liu, L. Gomelsky, J. Opt. Soc. Am. A 9, 1574 (1992).
[CrossRef]

Misawa, A.

K. Hayata, A. Misawa, M. Koshiba, J. Opt. Soc. Am. B 7, 1268 (1990).
[CrossRef]

K. Hayata, A. Misawa, M. Koshiba, Electron. Lett. 25, 661 (1989).
[CrossRef]

Nalesso, G. F.

Sun, D. K.

J. F. Lee, D. K. Sun, Z. Cendes, IEEE Trans. Microwave Theory Tech. 39, 1262 (1991).
[CrossRef]

Szein, B.

Taflove, A.

Yeh, C.

Appl. Opt. (1)

Electron. Lett. (2)

K. Hayata, M. Koshiba, Electron. Lett. 25, 376 (1989).
[CrossRef]

K. Hayata, A. Misawa, M. Koshiba, Electron. Lett. 25, 661 (1989).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (2)

J. F. Lee, D. K. Sun, Z. Cendes, IEEE Trans. Microwave Theory Tech. 39, 1262 (1991).
[CrossRef]

J. F. Lee, IEEE Trans. Microwave Theory Tech. 42, 1025 (1994).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. M. Liu, L. Gomelsky, J. Opt. Soc. Am. A 9, 1574 (1992).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. B (2)

Opt. Lett. (1)

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