MATLAB Implementation of Mie Theory for Spherical Particle Scattering Calculation

Mie scattering by spherical particles represents a fundamental optical phenomenon with extensive applications in photonics and materials science. Mie theory provides a complete analytical framework for calculating scattering properties of spherical particles, which can be efficiently implemented through MATLAB computational programs. The MATLAB implementation typically involves key functions for calculating scattering coefficients using Bessel functions, angular distribution functions, and efficiency factors for extinction, scattering, and absorption. This computational program offers significant convenience for researchers, enabling detailed analysis of Mie scattering phenomena through parameterized functions that handle particle size parameters, refractive indices, and wavelength dependencies. The code structure generally includes main calculation routines for amplitude coefficients (an and bn), scattering efficiency factors (Qsca, Qext, Qabs), and angular scattering distributions. Researchers can easily modify input parameters such as particle diameter, wavelength, and complex refractive index to simulate various scattering scenarios. Mastering and utilizing this Mie theory computational program proves highly beneficial for both academic research and engineering applications, particularly in nanoparticle characterization, optical sensor development, and atmospheric science studies. The MATLAB implementation typically features modular coding with visualization capabilities for scattering patterns and efficiency spectra, making it an essential tool for quantitative light scattering analysis.