Scattering functions of spherical particles

The scattering functions of spherical particle (the scattering crass section, the attenuation cross section, and the radar cross section) are determined by the series of Mi coefficients. These coefficients are expressed by the series of cylindrical functions. In the case of large arguments the calculation Bessel functions of all king is rather complicated problem. It is show that the formulas for Mi coefficients may be transformed by a special way. Then the scattering functions of uniform spherical particle are determined by combinations of fractional cylindical functions. In this case the calculation error doesn't increase with the cylindrical function king number. The series of these combinations describes the fields of diffraction by different nonuniform structures.