Quadratic solitons: recent developments

Abstract

Multicolor optical solitons mediated by quadratic nonlinearities have been observed experimentally during the last few years in a variety of materials and geometries in a number of laboratories around the world. Today, many of the basic properties of the corresponding soliton families are theoretically well established. Nevertheless, experiments continuously reveal new surprises, and the topic is entering new theoretical and experimental territories. In this paper, we briefly outline the key features of the quadratic solitons and overview the latest developments.Peer ReviewedPostprint (published version

Optical vortices and vortex solitons

“…A comprehensive review on optical quadratic solitons was published by Buryak, Di Trapani, Skryabin, and Trillo [2002], and can be also found in a recent book by Kivshar and Agrawal [2003]. A number of overview papers on the theory and experimental generation of spatial parametric optical solitons in quadratic nonlinear media were published during the last years (Stegeman, Schiek, and Fuerst [1997]; Kivshar [1997]; Torner [1998]; Etrich, Lederer, Malomed, Peschel, and Peschel [2000]; Stegeman [2001]; Sukhorukov [2001]; Torruellas, Kivshar, and Stegeman [2001]), and summaries of the advances in the field were reported by ; Stegeman [1999]; Torner and Stegeman [2001]; Torner and Sukhorukov [2002]; Torner and Barthelemy [2003].…”

Optical pulse compression using cascaded quadratic nonlinearities in periodically poled lithium niobate

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Embedded Solitons and Conservation Law with χ(2)and χ(3)Nonlinear Susceptibilities

“…Corresponding solution of main system (12) and (13) In this case, we obtain the following similarity variables:…”

“…Optical solitons is one of the most active areas of research in the field of nonlinear optics [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. It is evident, from a variety of reported results, that the main focus is on integrability issue in fiber optics, photonic crystal, metamaterials and metasurfaces.…”