Exact cascading nonlinearity in quasi-phase-matched quadratic media

Abstract

The evolution of light pulses and beams in a quasi-phase-matched (QPM) quadratic medium is usually described by considering only the spatial harmonic of the QPM grating that minimizes the residual phase-mismatch. I show that, for strongly phase-mismatched interactions (the cascading regime), several harmonics need to be accounted for in order to obtain the correct value of the effective cubic nonlinearity, of which I find a simple analytical expression. I discuss the effects of the higher order harmonics of the grating on solitary wave propagation.

References in corpus (2)

• Ultrafast and octave-spanning optical nonlinearities from strongly phase-mismatched cascaded interactions
• Scaling laws for soliton pulse compression by cascaded quadratic nonlinearities

Cited by in corpus (2)

• Management of solitons in medium with competing cubic and quadratic nonlinearities
• General complex envelope solutions of coupled-mode optics with quadratic or cubic nonlinearity