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Based on the rate equation of four-level system and numerical simulation, the phase-matching characteristic of laser-diode-pumped Nd:GdVO4/KBe2BO3F2(KBBF) solid-state laser has been studied. The influences of pumping and oscillating spot size to output power and laser threshold with different gain medium are studied. Compared to CsLiB6O10 (CLBO) and beta-BaB2O4(BBO), the phase-matching characteristics of the nonlinear optical crystal KBBF are carried out through numerical simulation. For type I and type II phase-matcbing condition, KBBF which is more easy to realize ultraviolet laser output has more shorter transmission bandwidth and more broader tunable phase-matching angle than CLBO and BBO. It is useful to optimize and select the parameters of such systems.
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