The expansion coefficients of arbitrary shaped beam in oblique illumination.
In generalized Lorenz-Mie theories, (GLMTs), the most difficult task concerns the description of the illuminating beam. We provide an approach for expansions of the incident arbitrary shaped beam in spherical and spheroidal coordinates in the general case of oblique illumination. The representations for shaped beam coefficients are derived by using addition theorem for spherical vector wave functions under coordinate rotations. For the special cases of the particle center located on shaped beam axis and plane wave, the simplified expressions are given. The convergence of the beam shape coefficients is discussed.
Han
Yiping
Y
Zhang
Huayong
H
Han
Guoxia
G