We report a rich spectrum of isolated solitons residing inside (embedded into) the continuous radiation spectrum in a simple model of three-wave spatial interaction in a second-harmonic-generating planar optical waveguide equipped with a quasi-one-dimensional Bragg grating. An infinite sequence of fundamental embedded solitons are found, which differ by the number of internal oscillations. Branches of these zero-walkoff spatial solitons give rise, through bifurcations, to several secondary branches of finite-walkoff solitons. The structure of the bifurcating branches suggests a multistable configuration of spatial optical solitons, which may find applications in photonics.
Original languageEnglish
Publication statusPublished - 1999

Bibliographical note

Additional information: Preprint of a paper later published by the American Physical Society (2000), Physical Review E, 61 (1), pp.886-890, ISSN 1063-651X

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