Abstract

The generalized Lorenz–Mie theory describes the electromagnetic scattering of a Gaussian laser beam by a spherical particle. The most intensive computational aspect of the theory concerns the evaluation of the beam-shape coefficients in the general case of an off-axis location of the scatterer. These beam-shape coefficients can be computed starting from the set of beam-shape coefficients for an on-axis location by using the addition theorem for the spherical vector wave functions of the first kind under a translation of the coordinate origin.

© 1997 Optical Society of America

Addition theorem for the spherical vector wave functions and its application to the beam shape coefficients

Huayong Zhang and Yiping Han
J. Opt. Soc. Am. B 25(2) 255-260 (2008)

Exact analytical expansion of an off-axis Gaussian laser beam using the translation theorems for the vector spherical harmonics

Lars Boyde, Kevin J. Chalut, and Jochen Guck
Appl. Opt. 50(7) 1023-1033 (2011)

Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. I. On-axis beams

James A. Lock and Gérard Gouesbet
J. Opt. Soc. Am. A 11(9) 2503-2515 (1994)

Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. II. Off-axis beams

Gérard Gouesbet and James A. Lock
J. Opt. Soc. Am. A 11(9) 2516-2525 (1994)

Measurement of beam-shape coefficients in the generalized Lorenz–Mie theory for the on-axis case

Hubert Polaert, Gérard Gouesbet, and Gérard Gréhan
Appl. Opt. 37(21) 5005-5013 (1998)