This study analyzes the linewidth narrowing characteristics of free-space-running Brillouin lasers and investigates the approaches to achieve linewidth compression and power enhancement simultaneously. The results show that the Stokes linewidth behavior in a free-space-running Brillouin laser cavity is determined by the phase diffusion of the pump and the technical noise of the system. Experimentally, a Stokes light output with a power of 22.5 W and a linewidth of 3.2 kHz was obtained at a coupling mirror reflectivity of 96%, which is nearly 2.5 times compressed compared with the linewidth of the pump (7.36 kHz). In addition, the theorical analysis shows that at a pump power of 60 W and a coupling mirror reflectivity of 96%, a Stokes output with a linewidth of 1.6 kHz and up to 80% optical conversion efficiency can be achieved by reducing the insertion loss of the intracavity. This study provides a promising technical route to achieve high-power ultra-narrow linewidth special wavelength laser radiations.

The phase summation effect in sum-frequency mixing process is utilized to avoid a nonlinearity obstacle in the power scaling of single-frequency visible or ultraviolet lasers. Two single-frequency fundamental lasers are spectrally broadened by phase modulation to suppress stimulated Brillouin scattering in fiber amplifier and achieve higher power. After sum-frequency mixing in a nonlinear optical crystal, the upconverted laser returns to single frequency due to phase summation, when the phase modulations on two fundamental lasers have a similar amplitude but opposite sign. The method was experimentally proved in a Raman fiber amplifier-based laser system, which generated a power-scalable sideband-free single-frequency 590 nm laser. The proposal manifests the importance of phase operation in wave-mixing processes for precision laser technology.

An all-solid-state single-frequency 1064 nm laser with a $100~{\rm\mu}\text{s}$ pulse width, 500 Hz repetition rate and 700 mJ single pulse energy is designed using seed injection and a three-stage master oscillator power amplifier (MOPA) construction. Using this as a basis, research on long-pulse laser frequency doubling is carried out. By designing and optimizing the lithium triborate (LBO) crystal, the theoretically calculated maximum conversion efficiency ${\it\eta}_{\max }$ reaches 68% at $M^{2}=1$, while ${\it\eta}_{\min }$ is 33% at $M^{2}=3$. Generation of 212 mJ pulses of green light with a repetition rate as high as 500 Hz is obtained from a fundamental energy of 700 mJ. The experimental conversion efficiency reaches 31% and the power stability is better than $\pm 1\%$.