Abstract

We present results from a novel variational method for the study of beam propagation in a Kerr medium with nonlinear absorption. This new method combines the variational method and a nonlinear absorption equation and gives a concise expression for the combination. The results obtained with this method show good quantitative agreement with numerical solutions obtained with the finite-difference method. It is shown that the variational method takes much less time than a numerical simulation with the finite-difference method for analysis of beam propagation in a thick medium with nonlinear absorption and nonlinear refraction. The new method makes detailed analysis of beam propagation in a Kerr medium with nonlinear absorption very simple and fast.

© 2003 Optical Society of America

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2001 (1)

D. Anderson, M. Lisak, and A. Berntson, Pramana J. Phys. 57, 917 (2001).
[CrossRef]

1998 (1)

S. C. Cerda, S. B. Cavalcanti, and J. M. Hickmann, Eur. J. Phys. D 1, 313 (1998).
[CrossRef]

1997 (1)

1993 (1)

1992 (1)

1991 (2)

M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. A 8, 2082 (1991).

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, Opt. Eng. 30, 1228 (1991).
[CrossRef]

1990 (1)

M. Sheik-Bahae, A. A. Said, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

1989 (1)

1983 (2)

D. Anderson, Phys. Rev. A 27, 3135 (1983).
[CrossRef]

D. Anderson, Opt. Commun. 48, 107 (1983).
[CrossRef]

Anderson, D.

D. Anderson, M. Lisak, and A. Berntson, Pramana J. Phys. 57, 917 (2001).
[CrossRef]

M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. A 8, 2082 (1991).

D. Anderson, Phys. Rev. A 27, 3135 (1983).
[CrossRef]

D. Anderson, Opt. Commun. 48, 107 (1983).
[CrossRef]

Berntson, A.

D. Anderson, M. Lisak, and A. Berntson, Pramana J. Phys. 57, 917 (2001).
[CrossRef]

Cavalcanti, S. B.

S. C. Cerda, S. B. Cavalcanti, and J. M. Hickmann, Eur. J. Phys. D 1, 313 (1998).
[CrossRef]

Cerda, S. C.

S. C. Cerda, S. B. Cavalcanti, and J. M. Hickmann, Eur. J. Phys. D 1, 313 (1998).
[CrossRef]

Desaix, M.

M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. A 8, 2082 (1991).

Gross, B.

Hagan, D. J.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, Opt. Eng. 30, 1228 (1991).
[CrossRef]

Hermann, J. A.

Hickmann, J. M.

S. C. Cerda, S. B. Cavalcanti, and J. M. Hickmann, Eur. J. Phys. D 1, 313 (1998).
[CrossRef]

Lisak, M.

D. Anderson, M. Lisak, and A. Berntson, Pramana J. Phys. 57, 917 (2001).
[CrossRef]

M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. A 8, 2082 (1991).

Manassah, J. T.

McDuff, R. G.

Said, A. A.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, Opt. Eng. 30, 1228 (1991).
[CrossRef]

M. Sheik-Bahae, A. A. Said, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

M. Sheik-Bahae, A. A. Said, and E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[CrossRef] [PubMed]

Sheik-Bahae, M.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, Opt. Eng. 30, 1228 (1991).
[CrossRef]

M. Sheik-Bahae, A. A. Said, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

M. Sheik-Bahae, A. A. Said, and E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[CrossRef] [PubMed]

Van Stryland, E. W.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, Opt. Eng. 30, 1228 (1991).
[CrossRef]

M. Sheik-Bahae, A. A. Said, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

M. Sheik-Bahae, A. A. Said, and E. W. Van Stryland, Opt. Lett. 14, 955 (1989).
[CrossRef] [PubMed]

Wei, T. H.

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, Opt. Eng. 30, 1228 (1991).
[CrossRef]

Eur. J. Phys. D (1)

S. C. Cerda, S. B. Cavalcanti, and J. M. Hickmann, Eur. J. Phys. D 1, 313 (1998).
[CrossRef]

IEEE J. Quantum Electron. (1)

M. Sheik-Bahae, A. A. Said, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990).
[CrossRef]

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

M. Desaix, D. Anderson, and M. Lisak, J. Opt. Soc. Am. A 8, 2082 (1991).

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

Opt. Commun. (1)

D. Anderson, Opt. Commun. 48, 107 (1983).
[CrossRef]

Opt. Eng. (1)

M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, Opt. Eng. 30, 1228 (1991).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

D. Anderson, Phys. Rev. A 27, 3135 (1983).
[CrossRef]

Pramana J. Phys. (1)

D. Anderson, M. Lisak, and A. Berntson, Pramana J. Phys. 57, 917 (2001).
[CrossRef]

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