MATLAB Implementation of Zoeppritz Equations for P-Wave Scattering at Elastic Interfaces

This MATLAB implementation of Zoeppritz equations analyzes P-wave scattering phenomena at elastic interfaces. The code computes reflection and transmission coefficients for both reflected and transmitted waves as functions of incident angle. The solution employs matrix operations to solve the boundary condition equations, incorporating elastic parameters (P-wave velocity, S-wave velocity, and density) for both media. Key algorithmic components include: 1) Angle-to-slowness conversion using Snell's law, 2) Amplitude coefficient calculation through 4×4 matrix inversion representing continuity conditions, and 3) Polarization analysis for wave mode identification. The implementation features parameterized input for material properties and incident angles, with visualization functions plotting coefficient variations across angular ranges. This study provides insights into P-wave scattering behavior at elastic boundaries, serving as a reference for seismic interpretation and wave propagation research applications.