Scattering of an on-axis Gaussian beam by a uniaxial anisotropic sphere is studied. The incident on-axis Gaussian beam is expanded in terms of spherical vector wave functions, and the beam shape coefficients are obtained by applying the local approximation. The internal fields of a uniaxial anisotropic sphere are proposed in the integrating form of the spherical vector wave functions by introducing the Fourier transform. Utilizing the continuous tangential boundary conditions, both the scattered and the internal field coefficients are derived analytically. Numerical calculations are presented. The effects of the beam width, beam waist center positioning, and anisotropy on scattering properties are analyzed. The internal and near-surface field distributions are also discussed, and the two eigenmodes are characterized. The continuity on the surface of a uniaxial anisotropic sphere is well confirmed.
© 2009 Optical Society of America
Original Manuscript: February 24, 2009
Revised Manuscript: May 28, 2009
Manuscript Accepted: May 29, 2009
Published: July 13, 2009
Zhen-sen Wu, Qiong-kun Yuan, Yong Peng, and Zheng-jun Li, "Internal and external electromagnetic fields for on-axis Gaussian beam scattering from a uniaxial anisotropic sphere," J. Opt. Soc. Am. A 26, 1778-1787 (2009)