Scattering of a zero-order Bessel beam by a concentric sphere

The scattering of an on-axis incident zero-order Bessel beam by a concentric sphere is firstly investigated by using an analytical method. Based on the spherical vector wave functions, the expansion expressions of the incident Bessel beam are derived in terms of the electric and magnetic fields that satisfy Maxwell's equations. According to the integral localized approximation, an analytical formula for the calculation of beam shape coefficients is given. The present method is validated by the comparison of the analytical result and the numerical result obtained from the surface integral equation method. The effects of the beam half-angle, the refractive index of inner sphere and the size parameter of concentric sphere on the differential scattering cross section are analyzed in detail. This investigation is expected to provide key theoretical support and practical guidance for the techniques of laser detection on particle and diagnosis.