This document summarizes research on laser beam machining (LBM), which uses a focused laser beam to vaporize material. It discusses LBM principles, modeling and simulation methods, applications for micromachining, effects of process parameters on cut quality, and optimization of parameters. Key findings include that laser power, cutting speed, and assist gas pressure are most important parameters affecting surface roughness and kerf width. LBM allows high-precision cutting of almost any material but optimization of parameters is needed to minimize defects and improve cut quality. Research aims to better understand LBM through modeling and relate process parameters to quality metrics to optimize the process.