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Soliton compression to few-cycle pulses by cascaded quadratic nonlinearities

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Theoretical and numerical investigation of pulse-compression in a nonlinear crystal is presented. SHG soliton number is introduced and show that compression only takes place when it is larger than the "usual" Kerr soliton number. Pulse compression with cascaded quadratic nonlinearities requires that the ratio of the SHG and Kerr soliton numbers N>1.

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