Abstract

Generalized Lorenz–Mie theory describes electromagnetic scattering of an arbitrary light beam by a spherical particle. The localized approximation is an analytical function that accurately models the beam-shape coefficients that give the decomposition of a focused Gaussian beam into partial waves. A mathematical justification and physical interpretation of the localized approximation is presented for a focused off-axis Gaussian beam that propagates parallel to but not along the z axis.

© 1994 Optical Society of America

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)

Evaluation of laser-sheet beam shape coefficients in generalized Lorenz–Mie theory by use of a localized approximation

K. F. Ren, G. Gréhan, and G. Gouesbet
J. Opt. Soc. Am. A 11(7) 2072-2079 (1994)

Rigorous justification of the cylindrical localized approximation to speed up computations in the generalized Lorenz–Mie theory for cylinders

G. Gouesbet, G. Gréhan, and K. F. Ren
J. Opt. Soc. Am. A 15(2) 511-523 (1998)

Validity of the localized approximation for arbitrary shaped beams in the generalized Lorenz–Mie theory for spheres

G. Gouesbet
J. Opt. Soc. Am. A 16(7) 1641-1650 (1999)

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)