Mie Scattering Numerical Computation and Simulation

Mie scattering is a mathematical model used to describe the scattering phenomena of particles under beam illumination. In numerical simulations, parameters such as particle type, size, and shape can be modified to simulate scattering under different conditions. Key evaluation parameters include intensity, scattering angle, and scattering coefficients, which describe the particle's response to incident light and the distribution of scattering directions. The numerical implementation typically involves calculating Bessel functions and Legendre polynomials to solve Maxwell's equations for spherical particles. Besides Mie scattering, other scattering models like Rayleigh scattering (applicable when particle size is much smaller than wavelength) and Tyndall scattering (for colloidal systems) can be used for different particle types and light conditions. In practical applications, numerical simulations provide fundamental insights for studying particle scattering characteristics, with implementations often involving MATLAB or Python packages (e.g., PyMieScatt) for calculating scattering efficiency factors and phase functions. These simulations find applications in aerosol pollution monitoring, medical diagnostics, and optical material design where code-based parameter sweeps help optimize system performance.