Abstract

A recent work devoted to the longitudinal optical forces exerted by circularly symmetric Bessel beams on point-like particles in the Rayleigh regime of the generalized Lorenz–Mie theory (GLMT) confirmed the existence of nonstandard forces (named axicon forces in the context of Bessel beams) that seemingly cannot be expressed in terms of scattering and gradient forces traditionally discussed in the framework of the dipole theory of forces. These results lead to this question: Do the Rayleigh limit of the GLMT and the dipole theory of forces actually agree, or are they in disagreement? If so, the Rayleigh limit of the generalized Lorenz–Mie theory would have to be preferred because it provides a highly accurate formulation. To find a definitive answer to the question, numerical comparisons done between optical forces exerted in both frameworks demonstrated an extremely accurate agreement up to 1000 decimal places. This leads to the conjecture that the Rayleigh limit of GLMT might indeed exactly identify with the usual dipole theory of forces.

© 2021 Optical Society of America

Comparative numerical analysis between the multipole expansion of optical force up to quadrupole terms and the generalized Lorenz–Mie theory

V. S. De Angelis, L. A. Ambrosio, and G. Gouesbet
J. Opt. Soc. Am. B 38(8) 2353-2361 (2021)

Prediction of reverse radiation pressure by generalized Lorenz–Mie theory

K. F. Ren, G. Gréhan, and G. Gouesbet
Appl. Opt. 35(15) 2702-2710 (1996)

Fundamentals of negative refractive index optical trapping: forces and radiation pressures exerted by focused Gaussian beams using the generalized Lorenz-Mie theory

Leonardo A. Ambrosio and Hugo E. Hernández-Figueroa
Biomed. Opt. Express 1(5) 1284-1301 (2010)

On the validity of the integral localized approximation for Bessel beams and associated radiation pressure forces

Leonardo A. Ambrosio, Jiajie Wang, and Gérard Gouesbet
Appl. Opt. 56(19) 5377-5387 (2017)

Zeroth-order continuous vector frozen waves for light scattering: exact multipole expansion in the generalized Lorenz–Mie theory

Leonardo André Ambrosio, Michel Zamboni Rached, and Gérard Gouesbet
J. Opt. Soc. Am. B 36(1) 81-89 (2019)