Phase Mismatch Calculation in BBO Crystals

This document focuses on computational methods for determining phase mismatch in BBO crystals under both eeo (extraordinary-extraordinary-ordinary) and oeo (ordinary-extraordinary-ordinary) configurations. The calculation approach incorporates key parameters including crystal thickness, wavelength, and refractive index dependencies, utilizing specialized formulas and simplified physical models. Code implementation would typically involve vectorized calculations for refractive indices using Sellmeier equations, phase mismatch delta_k computation through wavevector differences, and thickness-dependent efficiency functions. The analysis examines how parameter variations impact computational results and discusses practical implications for nonlinear optical applications. Further optimization strategies include implementing adaptive step sizing in numerical integration, incorporating temperature-dependent refractive index corrections, and applying uncertainty quantification methods to enhance computational accuracy and reliability for experimental design purposes.