Two-dimensional spatial solitons with second-order nonlinearities

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Citation of Original Publication

Torner, Lluis, Curtis R. Menyuk, William E. Torruellas, and George I. Stegeman. "Two-Dimensional Spatial Solitons with Second-Order Nonlinearities". In Quantum Electronics and Laser Science Conference (1995), Paper QTuH2, QTuH2. Optica Publishing Group, 1995. https://opg.optica.org/abstract.cfm?uri=QELS-1995-QTuH2.

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Abstract

In addition to harmonic generation and frequency mixing, intense light beams propagating in χ⁽²⁾ nonlinear media exhibit a variety of self- and cross-phase-modulation effects that until recently were commonly thought to occur only in χ⁽³⁾ interactions. One important example is the propagation of solitonlike waves in which the fundamental and second-harmonic waves mutually focus and trap each other. The (1 + 1) trapping (i.e., one transverse dimension and one propagation dimension) yields both spatial and temporal solitons that can, in principle, occur in planar waveguides and fibers, respectively.