This article explores the fundamental and applied aspects of optical scattering systems and their interaction with light, focusing on phenomena such as superscattering, exceptional points in non-Hermitian systems, and light manipulation using dielectric and plasmonic nanostructures. We present techniques for analyzing scattering properties, including multipole decomposition and the calculation of optical forces, comparing spherical and Cartesian decompositions augmented with toroidal multipoles. The application of multipole moments to optical forces calculation is discussed, highlighting its role in understanding optomechanical interactions. By synthesizing theoretical and computational approaches, this article offers a comprehensive understanding of optical scattering systems and their interaction with light, bridging fundamental principles with practical applications in nanophotonics and beyond. #CSOC1120.