Theoretical analysis of general approach realizing phase matched second-harmonic generation in LiNbO<sub>3</sub> waveguides

Jian Wang; Junqiang Sun

doi:10.1117/12.694405

10 June 2006 Theoretical analysis of general approach realizing phase matched second-harmonic generation in LiNbO₃ waveguides

Jian Wang, Junqiang Sun

Author Affiliations +

Proceedings Volume 6344, Advanced Laser Technologies 2005; 63441E (2006) https://doi.org/10.1117/12.694405
Event: Advanced Laser Technologies 2005, 2005, Tianjin, China

Abstract

Theoretical analysis on phase matched second-harmonic generation (SHG) in a more general manner is presented from the viewpoint of modulation of the nonlinear coefficient. The conventional quasi-phase matching (CQPM) is firstly analyzed, showing a noticeable result that the intensity of second-harmonic wave grows most rapidly at odd times of half Lc, i.e., Lc/2, 3Lc/2, 5Lc/2, etc., but most slowly at even times of half Lc, i.e., 0, Lc, 2Lc, 3Lc, etc. Based on which, a new scheme to realize phase matched SHG by modulating the nonlinear coefficient using alternating "+", "0", "-", "0" every Lc/2 is proposed with the analytical expressions for conversion efficiency (η) and conversion bandwidth (Δ_FWHM) derived. Compared with CQPM, it is found that the same Δ_FWHM approximately 5.566/L, and at the same time, a much more effective η can be achieved when ignoring partial waveguide in which the nonlinear coefficient is "0", however, when considering it there is a 3dB penalty for η. Furthermore, a much more general scheme to realize phase matched SHG is proposed, also using alternating "+", "0", "-", "0" but with variable duty cycle. We present the analytical expressions for η and Δ_FWHM , with the result showing that Δ_FWHM keeps constant, i.e., 5.566/L. In addition, the fabrication tolerances are discussed, and our proposed scheme exhibits a better performance.

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Jian Wang and Junqiang Sun "Theoretical analysis of general approach realizing phase matched second-harmonic generation in LiNbO₃ waveguides", Proc. SPIE 6344, Advanced Laser Technologies 2005, 63441E (10 June 2006); https://doi.org/10.1117/12.694405

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