Inverse Design and Sensitivity Analysis

This lecture covers topics such as optimal transport with a focus on exploiting structure for faster solutions, transforming light by deforming caustic generators, and inverse design optimization using the adjoint method for shape optimization. It also discusses sensitivity analysis for efficiently calculating gradients and automatic differentiation. The instructor explains the process of initializing design optimization and summarizes key concepts in continuum mechanics, energy minimization methods, and the adjoint method for inverse shape optimization.