Computing Scattering Problems for Spherical Shell Nanoparticles

To thoroughly analyze light scattering phenomena in spherical shell nanostructures, comprehensive consideration of parameters such as scattering coefficient matrices, extinction coefficients, and absorption coefficients is essential. The MATLAB-based computational framework provides an effective approach for studying and debugging these complex interactions. The implementation employs Mie theory extensions for multilayer spheres, featuring core functions like scatteringCoefficient() for matrix calculations and efficiencyOptimizer() for numerical precision. Researchers and students can leverage this modular code structure to dissect scattering mechanisms, validate theoretical models through parameter sweeps, and visualize field distributions using embedded plotting routines. The algorithm incorporates stability checks for size parameters and refractive index contrasts, ensuring computational accuracy through adaptive convergence thresholds. This methodology not only enhances quantitative analysis capabilities but also establishes a foundation for developing advanced inverse scattering solutions in nanophotonics research.