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25 April 2008 Cascaded induced lattices in quadratic nonlinear medium
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We first study features of optical periodic lattices generated with mismatched cascade three-wave interaction in quadratically nonlinear media. We elaborate the theory of parametric waveguides arrays induced by two crossing pump waves together with exited sum wave. As the signal wave spreads due to the diffraction the induced lattice appears and its transverse dimension increases. Note the parametric periodic grating becomes apparent since launching any signal beam. It's likely to be the leading peculiarity of cascaded induced lattices. Parametric inhomogeneity depends on wave vector mismatch sign, and its modulation depth can be controlled by pump beam intensity. We observed a transformation from the discrete diffraction into the waveguiding of one or several signal beams with the increasing of pump intensity. The discrete diffraction dynamics dependence on pump intensity, spatial period, and signal beam tilting is analyzed when one or few central waveguides are exited at the input. At the certain incidence diffractionless propagation of signal beam takes place. The similar discrete diffraction effects in 2D cascaded lattices with various pump structure geometries have been studied. The additional degree of freedom gives novel properties to the effect of discrete diffraction.
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Olga V. Borovkova, Valery E. Lobanov, Anatoly P. Sukhorukov, and Anna K. Sukhorukova "Cascaded induced lattices in quadratic nonlinear medium", Proc. SPIE 6994, Photon Management III, 699410 (25 April 2008);


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