Abstract. We present a brief overview of different methods for simultaneous phase-matching of several parametric optical processes (the so-called multisiep cascading) in engineered structures with the modulated second-order nonlinear susceptibility . In particular, we discuss the possibility of double phase-matching in both uniform and non-uniform quasi-phase-matched (QPM) periodic optical superlattices and also in the recently fabricated two-dimensional nonlinear photonic crystals. We include also some original results demonstrating the possibility to achieve double-phase-matching with phase-reversed and periodically chirped QPM structures and also with uniform QPM structures in non-collinear geometry .

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