In order to profoundly study the mechanism of ultraviolet non-line-of-sight scattering transmission, based on ellipsoidal coordinate, the scattering process of photons from transmitter to receiver and energy change in the process are analysed; Furthermore, the study of the effective scattering volume integral is mainly inresthgated due to the dose relation with the ultraviolet communication, and the three groups of integral limits which determine the volume integral is analysed and calculated. Integral limit formulas of each group are achieved. The results give the integrated explaination and exact quantification of ultraviolet communication mechanism and receiving power. It builds a solid foundation for the ultraviolet network and the future study.