Simulation of Plane Wave and Spherical Wave Generation

We can develop code to simulate the generation of plane waves and spherical waves, and further investigate their properties through various simulations such as wave interference. The implementation involves defining wavefront propagation algorithms - for plane waves using linear phase fronts with constant amplitude across the plane, and for spherical waves using radial propagation from a point source with amplitude decaying as 1/r. Key functions would include wave equation solvers, propagation direction vectors, and amplitude calculation methods. Through these simulations, we can study the physical characteristics of different wave types and their real-world applications. By implementing interference simulations, we can analyze wave superposition phenomena, phase relationships, and interference patterns using techniques like complex amplitude summation and Fourier optics principles. This coding approach enables deeper investigation of wave properties and their significance in physics and engineering fields, with potential applications in optical system design, acoustic engineering, and electromagnetic wave propagation studies.