Perturbative model for nonstationary second-order cascaded effects

Year: 1998

Authors: Toci G., Vannini M., Salimbeni R.

Autors Affiliation: Istituto di Elettronica Quantistica, Consiglio Nazionale Delle Ricerche, Via Panciatichi 56/30, 50127 Firenze, Italy

Abstract: We report a semianalytical solution describing the type I second-order nonlinear interaction of the fundamental and the second-harmonic fields in a nonlinear crystal, which accounts for the phase- and group-velocity mismatch of the interacting pulses. The method uses a series-development solution of the propagation equations in respect to the second-harmonic conversion efficiency. The method describes the self-phase and self-amplitude modulation experienced by the fundamental pulse in single- and double-pass (i.e., reinjecting into the nonlinear crystal the outgoing pulses) interaction geometries, following better with respect to a numerical analysis, the dependence from the propagation parameters such as the crystal length, the pulse duration, and the phase- and group-velocity mismatch. It appears that it is possible to obtain an efficient self-phase modulation on the fundamental field even in nonstationary conditions. This paper describes the advantages of a double-pass configuration, which, for a given crystal length, allows a stronger nonlinear phase modulation of the fundamental field and minimize its losses toward the second harmonic.

Journal/Review: JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS

Volume: 15 (1)      Pages from: 103  to: 117

KeyWords: Group-velocity Mismatch; Pulse 2nd-harmonic Generation; Nonlinear-optical Processes; Limited Fundamental Pulses; 2nd-order Nonlinearities; Harmonic-generation; Phase Modulation; Parametric Lens; Locking; Laser
DOI: 10.1364/JOSAB.15.000103

Citations: 6
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