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In the study of particle scattering problems, the calculation of scattering coefficients such as an, bn, cn, and dn in Mie scattering is a crucial step. Mie scattering, also known as spherical scattering, is a type of elastic scattering where the particles are much larger than the wavelength of the incident light. The scattering coefficients represent the intensity of the scattered light in different directions and can be used to study various properties of the scattering particles, such as size, shape, and refractive index. Therefore, accurately calculating these coefficients is essential for understanding and analyzing the behavior of scattered light in different media and environments.