## Abstract

Under the Gaussian spatial distribution approximation, the coupled rate equations for a diode-pumped, dual-loss-modulated, $Q$-switched, and mode-locked (QML) green laser with EO and ${\mathrm{Cr}}^{4+}\text{:}\mathrm{YAG}$ are derived. The numerical simulation results show that the pulse width of the $Q$-switched envelope is related to the pump power, repetition rate of EO, initial transmission of ${\mathrm{Cr}}^{4+}\text{:}\mathrm{YAG}$, and the stimulated emission section of the gain medium. By designing the related parameters well, the pulse width of the $Q$-switched envelope can be greatly compressed to shorter than the cavity roundtrip transmit time, i.e., the interval of two neighboring mode-locking pulses; then subnanosecond single mode-locking pulses with low repetition rate, high pulse energy, and high stability can be obtained. The generation conditions of subnanosecond single mode-locking pulses per envelope in a dual-loss-modulated QML $\mathrm{Nd}\text{:}{\mathrm{Lu}}_{0.15}{\mathrm{Y}}_{0.85}{\mathrm{VO}}_{4}$ green laser with EO and ${\mathrm{Cr}}^{4+}\text{:}\mathrm{YAG}$ are experimentally demonstrated and found to be in agreement with the theoretical results.

© 2015 Optical Society of America

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