Debye Series Of Gaussian Beam Scattering By Imhomogeneous Sphere

Many scholars are paying attention to Gaussian beam scattering by imhomogeneous sphere because of its wider and wider application in industry process. On the basis of Generalized Lorenz-Mie theory , Debye series is introduced in the research of Gaussian beam scattering by imhomogeneous sphere in this paper for the first time . The Debye series numerical algorithm is obtained by using the localized approximation for the expanding coefficients g nm of Gaussian beam and the Debye series decomposition to scattering coefficients . Our code has been validated by comparison of the results to the published in the literature and to Generalized Lorenz-Mie theory in the same conditions.The scattered filed distribution in the far-zone and each single Debye intensity of on-axis and off-axis imhomogeneous sphere which is illuminated by Gaussian beam is studied. The impact on each single rainbow with different beam radius and different incidence location is analyzed . The results show that the intensity of some high order rainbow is buildup in the condition of the relevant incidence, and then the measurement of refractive index and size parameter of imhomogeneous sphere is available . Furthermore, the interference intensity distribution of several single order rainbows is simulated. At last we research on the intensity distribution of multi-layered first-order rainbow and the Airy structure of each layer. Therefore the method is useful to the study on characteristics of Gaussian beam scattering by a imhomogeneous sphere not only in theory but also in application of engineering.