Ray Tracing Algorithm Implementation

During ray tracing implementation, we utilize MATLAB subroutines to compute the coordinate positions and directional vectors of light rays interacting with lens surfaces. This process requires consideration of multiple factors including lens curvature, aperture size, thickness variations, and refractive indices. The subroutine incorporates several key functions and algorithms such as Snell's Law implementation for refraction calculations, coordinate transformation matrices for 3D ray propagation, and surface intersection detection algorithms. Critical functions include vector normalization for direction handling, surface sag equations for aspheric lenses, and paraxial approximation methods for initial guesses. Through parameter adjustments in the subroutine – such as modifying lens curvature coefficients or changing incident angles – various ray tracing effects can be achieved to meet diverse application requirements. This computational tool is essential in optical engineering, enabling accurate simulation of light propagation through complex optical systems for design verification and performance analysis.