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Published June 1, 2004 | public
Journal Article Open

Nonparaxial spatial solitons and propagation-invariant pattern solutions in optical Kerr media

Abstract

We investigate nonlinear propagation in the presence of the optical Kerr effect by relying on a rigorous generalization of the standard parabolic equation that includes nonparaxial and vectorial terms. We show that, in the (1+1)-D case, both soliton and propagation-invariant pattern solutions exist (while the standard hyperbolic-secant function is not a solution).

Additional Information

© 2004 Optical Society of America Received January 20, 2004 The authors are grateful to Alessandro Ciattoni and Eugenio DelRe for useful discussions. The work at the California Institute of Technology was supported by the U.S. Office of Naval Research. This project was partially supported by the Italian Ministry for Research through the Fondo per gli Investimenti della Ricerca di Base initiative and by the Italian Istituto Nazionale di Fisica della Materia through the SEH ("Solitons embedded in holograms") project. B. Crosignani is also with the Dipartimento di Fisica, Universita dell'Aquila, 67100 Aquila, Italy, and the Istituto Nazionale di Fisica della Materia, Unita di Roma "La Sapienza," 00185 Rome, Italy.

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August 22, 2023
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October 13, 2023