507 Theoretical Analysis of Beam Profile of Second Harmonic Generated by KTiOPO_4 Crystal

概要

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Temperature dependence of second harmonic generation (SHG) was examined theoretically by solving the coupling problem composed of heat conduction equation and complex amplitude equations. The latter includes effect of laser absorption in crystal. KTiOPO_4 (KTP) was supposed as a nonlinear optical crystal, and its SHG characteristics were compared with KH_2PO_4 (KDP). Power density distribution in crystal, time variation of conversion efficiency and output-beam profile were analyzed quantitatively during repetitive irradiation of pulse laser in Gaussian mode. As a result, it was revealed that there are various modes in out-put-beam profile, such as ring mode, single mode with one-or double-rings in the surrounding, depending on incident power density or crystal length. These disorders of transverse mode are caused by inverse conversion of SHG. It was also concluded that there is an optimum length of crystal to the irradiation conditions, and it can be estimated by the present study.
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