Abstract

A multipole expansion, based on spherical harmonics, provides an efficient method for calculating the field in the focal region of a lens for radially polarized illumination, or other illumination polarization and phase distributions, including vortex beams. The multipole approach also has the benefit of providing a simple measure of the purity of the longitudinal field mode. The method is also convenient for calculation of fields scattered by particles and calculation of optical trapping forces.

© 2011 Optical Society of America

Tight focusing of femtosecond radially polarized light pulses through a dielectric interface

Haosen Pu, Jianhua Shu, Ziyang Chen, Zhili Lin, and Jixiong Pu
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Trapping two types of particles by using a tightly focused radially polarized power-exponent-phase vortex beam

Chengjin Fan, Yongxin Liu, Xiaoyan Wang, Ziyang Chen, and Jixiong Pu
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Tight focusing of quasi-cylindrically polarized beams

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Focusing properties of arbitrary optical fields combining spiral phase and cylindrically symmetric state of polarization

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Highly focused spirally polarized beams

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J. Opt. Soc. Am. A 22(7) 1420-1431 (2005)