Abstract: We demonstrate that simultaneous phaseand group-velocity-matched cascaded parametric processes can be achieved in two-dimensional quadratic nonlinear photonic crystals by proper matching of noncollinear processes with front tilting of the fundamental pulse. We present examples of cascaded third- and fourth-harmonic generation in a poled {{LiNbO}$_3$} planar structure.

Keywords: poled lithium-niobate; 2nd-harmonic generation; femtosecond pulses; tilted pulses; 4th-harmonic generation; harmonic-generation; amplifier; solitons

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