On the basis of the generalized Lorenz–Mie theory, a description of expansion of the incident shaped beam in terms of cylindrical vector wave functions natural to an infinite cylinder of arbitrary orientation is presented. The expansion coefficients are derived by using an addition theorem for spherical vector wave functions under coordinate rotations. For the special cases of the cylinder axis intersecting the shaped beam axis and plane-wave illumination, the simplified expressions are given. The convergence of the beam shape coefficients is discussed.
© 2007 Optical Society of America
Original Manuscript: September 29, 2006
Revised Manuscript: January 22, 2007
Manuscript Accepted: January 26, 2007
Published: May 17, 2007
Vol. 2, Iss. 7 Virtual Journal for Biomedical Optics
Huayong Zhang, Yiping Han, and Guoxia Han, "Expansion of the electromagnetic fields of a shaped beam in terms of cylindrical vector wave functions," J. Opt. Soc. Am. B 24, 1383-1391 (2007)