Debye Series Expansion Of Plane Wave Scattering By Homogeneous Spheroidal Particles

Of all theories of electromagnetic scattering by small particles, Debye series expansion which is a rigorous theory can be employed to the analysis of scattering mechanism and to obtain the physical explanation of various scattering processes. Debye series is of great practical significance to the research on the scattering characteristics of particles. This thesis is devoted to Debye series for scattering of homogeneous spheroid axially illuminated by plane waves.The spheroidal coordinates as well as scalar and vector spheroidal wave functions are introduced firstly, and plane waves are expanded in terms of vector spheroidal wave functions. After the introduction of Mie theory for plane wave scattering by spheroidal particles, the Mie scattering coefficients are expanded by Debye series. Considering two fictitious scattering processes of incoming and outgoing waves, and taking into consideration of boundary conditions, we derive the infinite equations for all Fresnel coefficients employed in Debye series in detail, and obtain all Fresnel coefficients by numerically solving the equations coded by Matlab. Finally Debye series is employed to the simulation of single Debye scattered intensity and total scattered intensity for plane-wave scattering by homogeneous sphere and spheroid.