Geodesic
Cascade Model of Mismatched Optical Wave Interactions
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 2, pp. 8-13

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Dynamics of mismatched optical wave interactions in quadratically nonlinear media is discussed. By large mismatch of wave vectors, the complex amplitude of excited wave consists of stationary and oscillating components according to cascade model. Return influence affects primarily the initial waves. In case of second harmonic generation, the cubic nonlinearity arises at the fundamental frequency. Such cascade nonlinearity, whose value is inversely proportional to wave mismatch, can be used for phase self-modulation, soliton trapping or beam defocusing. An induced inhomogeneity at signal frequency is created by a pump wave with three-wave interaction, and a cross-modulation effect occurs. With the help of the negative induced inhomogeneity, it is possible to observe effect of parametric total internal reflection of signal wave from defocusing pump beam or discrete diffraction by cascade-induced lattice. Dynamics of mismatched optical wave interactions in quadratically nonlinear media is discussed. By large mismatch of wave vectors, the complex amplitude of excited wave consists of stationary and oscillating components according to cascade model. Return influence affects primarily the initial waves. In case of second harmonic generation, the cubic nonlinearity arises at the fundamental frequency. Such cascade nonlinearity, whose value is inversely proportional to wave mismatch, can be used for phase self-modulation, soliton trapping or beam defocusing. An induced inhomogeneity at signal frequency is created by a pump wave with three-wave interaction, and a cross-modulation effect occurs. With the help of the negative induced inhomogeneity, it is possible to observe effect of parametric total internal reflection of signal wave from defocusing pump beam or discrete diffraction by cascade-induced lattice.
Keywords: optical beam, quadratic nonlinearity
Mots-clés : cascade. 
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     author = {A. P. Sukhorukov},
     title = {Cascade {Model} of {Mismatched} {Optical} {Wave} {Interactions}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {8--13},
     publisher = {mathdoc},
     volume = {150},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2008_150_2_a1/}
}
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A. P. Sukhorukov. Cascade Model of Mismatched Optical Wave Interactions. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 150 (2008) no. 2, pp. 8-13. http://geodesic.mathdoc.fr/item/UZKU_2008_150_2_a1/