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General second-harmonic pulse shaping in grating-engineered quasi-phase-matched nonlinear crystals

У. К. СапаевNPO Akadempribor, Academy of Sciences of Uzbekistan, Tashkent 700125, UzbekistanDerryck T. ReidUltrafast Optics Group, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS UK
Optics Expressjournal2005en
ABI

Abstract

We describe a spectrogram-based simulated annealing algorithm for designing quasi-phase-matched crystals capable of producing second harmonic generation pulses of any chosen amplitude and phase profile. The approach applies a new and rapid analytic method for calculating the amplitude and phase of the second harmonic generation pulses generated by a quasi-phase-matched crystal containing an arbitrary grating design. The performance of the algorithm is illustrated by examples of femtosecond second harmonic pulses designed according to various target shapes including single, double and triple Gaussian pulses, positive and negative linear chirp and square, triangular and stepped profiles.

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