Article
Optics
Leonardo Andre Ambrosio, Jiajie Wang, Gerard Gouesbet
Summary: Based on the adjoint boundary value problem proposed by Zulehner and Rohatschek [1] decades ago, analytic and closed-form expressions for the photophoretic forces exerted by arbitrary-shaped beams on homogeneous and low-loss spherical particles are derived in both the free molecular and slip flow regimes. The asymmetry vector for arbitrary refractive index particles is explicitly calculated by expanding the internal electromagnetic fields using the generalized Lorenz-Mie theory (GLMT). The proposed approach is the first systematic attempt to incorporate GLMT into the field of photophoresis and may be extended to spheroids and find important applications in optical trapping and manipulation of microparticles, geoengineering, particle levitation, optical trap displays, and other areas.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2022)
Review
Optics
Luiz Felipe Votto, Abdelghani Chafiq, Gerard Gouesbet, Leonardo Andre Ambrosio, Abdelmajid Belafhal
Summary: The Ince-Gaussian beams are included in the framework of the generalized Lorenz-Mie theory through their expansions in terms of Laguerre-Gaussian beams. The beam shape coefficients are derived based on the expressions of Laguerre-Gaussian beam shape coefficients. This allows for a more straightforward computation of the coefficients and an analysis of the implications of the finite series method in the context of the GLMT framework.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2023)
Article
Optics
Leonardo A. Ambrosio, Jhonas O. de Sarro, Gerard Gouesbet
Summary: This study derives a polychromatic version of the generalized Lorenz-Mie theory stricto sensu (GLMT) by expanding arbitrary time-dependent fields into partial waves using Bromwich scalar potentials. The new formalism introduces field shape spectra (FSSs) which are intrinsically frequency-dependent, modifying and redefining the physical quantities expressed in the monochromatic GLMT.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2024)
Article
Optics
Luiz Felipe Machado Votto, Gerard Gouesbet, Leonardo Andre Ambrosio
Summary: Due to recent developments in generalized Lorenz-Mie theories (GLMTs), there is a renewed interest in the finite series (FS) method. However, the lack of flexibility in its earlier statements has led to its neglect since the 1990s. By dissecting the later works and exploring possibilities for generalization, simplification, and organization, a more accessible formulation of the FS method has been proposed.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2023)
Article
Optics
Leonardo A. Ambrosio, Gerard Gouesbet
Summary: The relationship between the Rayleigh limit of the generalized Lorenz-Mie theory (GLMT) and the dipole theory of forces is investigated, revealing extreme accuracy between the two approaches up to 3000 decimal places, reinforcing the conjecture that the Rayleigh limit of the GLMT might exactly identify with the traditional dipole theory of forces. However, mathematically uncovering such identification remains to be done.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2021)
Article
Optics
Gerard Gouesbet
Summary: The study examines the optical forces exerted by off-axis Bessel beams on Rayleigh particles, focusing on the existence of axicon forces in addition to the classical scattering and gradient forces. Results obtained in the more restricted case of on-axis beams confirm previous findings and help clarify their meaning, while also addressing the distinction between dark and non-dark beams. The question of whether the generalized Lorenz-Mie theory for Rayleigh particle aligns with the usual dipole theory is also raised.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2021)
Review
Optics
Leonardo Andre Ambrosio
Summary: This paper presents an analytical approach to incorporate zero-order continuous frozen waves (FWs), a specific class of non-diffracting beams, into the framework of the generalized Lorenz-Mie theory (GLMT). The approach resolves two main drawbacks observed in previous work, which are related to the computation of beam shape coefficients. Examples and field reconstructions are provided for FWs with different polarizations. The approach is significant for using continuous FWs as alternative laser beams and accurately calculating their optical properties in the field of light scattering. (c) 2022 Elsevier Ltd. All rights reserved.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2023)
Article
Optics
Luiz Felipe Votto, Leonardo Ambrosio, Gerard Gouesbet, Jiajie Wang
Summary: This paper presents a thorough study of the mathematical and computational nuances of the Finite Series (FS) method for Lens-Focused Laguerre-Gaussian beams, comparing it with other known methods and concluding that a properly implemented FS algorithm is generally the most preferable option.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2021)
Article
Optics
Leonardo A. Ambrosio, Gerard Gouesbet
Summary: This study establishes a connection between the Rayleigh limit of the generalized Lorenz-Mie theory and the transverse forces in the Rayleigh limit of the dipole theory, revealing the origin of spin-curl forces in terms of couplings between beam shape coefficients of distinct order and their relationship with what has recently been called nonstandard scattering forces.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2021)
Review
Optics
Gerard Gouesbet, James A. Lock, Yi-Ping Han, Jiajie Wang
Summary: This paper serves as a commentary and rebuttal to a recently published article in the Journal of Quantitative Spectroscopy and Radiative Transfer, addressing the computation of scattering properties between an arbitrary electromagnetic shaped beam and a homogeneous sphere. The discussion extends to more general cases, including arbitrary shaped particles within the T matrix formulation framework, while also reviewing the use of angular spectrum decomposition in light scattering.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2021)
Article
Optics
Leonardo A. Ambrosio, Vinicius S. de Angelis, Gerard Gouesbet
Summary: This study complements previous work on optical forces and force categorizations on dipole particles with electric and magnetic properties in the generalized Lorenz-Mie theory. It establishes a rigorous connection between the dipole limit of the GLMT and the dipole theory of forces (DTF) for such particles.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2022)
Article
Optics
S. Orlov, J. Berskys
Summary: Research shows that photonic wheels can propagate laterally, unlike the usual longitudinal light waves. By utilizing a non-aplanatic system, we created photonic wheels and further applied them to the extension of vector spherical harmonics. We also found the appearance of localized longitudinal angular momentum in the scattered field when photonic wheels interact with gold and silicon spheres.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2021)
Article
Optics
Leonardo A. Ambrosio
Summary: The study examines a more general class of on-axis axisymmetric beams of the first kind within the theory of photophoresis, utilizing the generalized Lorenz-Mie theory (GLMT) for the calculation of asymmetry factors. The research demonstrates that the theory presented is valid for arbitrary size parameters and serves as a first attempt towards incorporating real optical wave fields into photophoresis of absorbing particles using the GLMT for arbitrary-shaped beams.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2021)
Article
Optics
Leonardo A. Ambrosio, Gerard Gouesbet
Summary: This work analytically demonstrates that the dipole theory for longitudinal forces is in complete agreement with the Rayleigh limit of the generalized Lorenz-Mie theory. It is observed that only a few poles actually contribute to the force exerted on the scatterer.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
(2021)
Article
Economics
Sreoshi Banerjee, Manipushpak Mitra
Summary: In the context of sequencing, mechanisms are designed to uphold fairness and protect individual interests by ensuring a minimum level of utility for each agent through the imposition of a generalized minimum welfare bound. The main finding is that the constrained egalitarian mechanism is Lorenz optimal within the class of mechanisms that are feasible and satisfy the generalized minimum welfare bound.