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We present a multipole expansion theory for optical force exerting on a particle immersed in generic monochromatic free-space optical field. Based on the theory, we have, for the first time, successfully decomposed the optical force on a…

Optics · Physics 2018-01-01 Yikun Jiang , Jun Chen , Jack Ng , Zhifang Lin

We theoretically investigate the optical force exerted on an isotropic particle illuminated by a superposition of plane waves. We derive explicit analytical expressions for the exerted force up to quadrupolar polarizabilities. Based on…

Optics · Physics 2018-11-14 Ehsan Mobini , Aso Rahimzadegan , Carsten Rockstuhl , Rasoul Alaee

We study the optical forces acting on toroidal nanostructures. A great enhancement of optical force is unambiguously identified as originating from the toroidal dipole resonance based on the source-representation, where the distribution of…

Optics · Physics 2015-10-07 Xu-Lin Zhang , S. B. Wang , Zhifang Lin , Hong-Bo Sun , C. T. Chan

Optical forces allow manipulation of small particles and control of nanophotonic structures with light beams. Here, we describe a counter-intuitive lateral optical force acting on particles placed above a substrate, under uniform plane wave…

Matter manipulation with optical forces has become commonplace in a wide range of research fields and is epitomized by the optical trap. Calculations of optical forces on small illuminated particles typically neglect multiple scattering on…

We review three different approaches for the calculation of electromagnetic multipoles, namely the Cartesian primitive multipoles, the Cartesian irreducible multipoles and the spherical multipoles. We identify the latter as the best suited…

Light-matter interaction models invariably rely on the multipole expansion of the electromagnetic potentials generated by complex charge distributions. These multipoles are typically taken to be traceless, however, for a correct evaluation…

Quantum Physics · Physics 2025-08-22 Jivesh Kaushal , Chris Boldt , Stefan Scheel , Athanasios Laliotis , Paolo Pedri

Focused laser beams allow controlling mechanical motion of objects and can serve as a tool for assembling complex micro and nano structures in space. While in a vast majority of cases small particles experience attractive gradient forces…

Various procedures for expressing the multipolar expansion of the electromagnetic field are considered with application to the calculation of the radiated power. Some results from literature are discussed and perspective of developing the…

Physics Education · Physics 2007-05-23 Irina Dumitriu , C. Vrejoiu

Optical forces have been fruitfully applied in a broad variety of areas that not only span the traditional scientific fields such as physics, chemistry, and biology, but also in more applied fields. It is customary and useful to split the…

Optics · Physics 2015-05-28 Junjie Du , Chi-Hong Yuen , Kun Ding , Guiqiang Du , Zhifang Lin , C. T. Chan , Jack Ng

A photon carries a momentum of, so one may anticipate light to "push" on any object standing in its path via the scattering force. In the absence of intensity gradient, using a light beam to pull a particle backwards is counter intuitive.…

Optics · Physics 2011-07-28 Jun Chen , Jack Ng , Zhifang Lin , C. T. Chan

We put forward a theory on the optical force exerted upon a dipolar particle by a stationary and ergodic partially coherent light field. We show through a rigorous analysis that the ensemble averaged electromagnetic force is given in terms…

Optics · Physics 2016-11-26 Juan Miguel Auñón , Manuel Nieto-Vesperinas

We calculate optical forces and torques exerted on a chiral dipole by chiral light fields and reveal genuinely chiral forces in combining the chiral contents of both light field and dipolar matter. Here, the optical chirality is…

Optical forces acting on nano-sized particles are typically too small to be useful for particle manipulation. We theoretically and numerically demonstrate a mechanism that can significantly enhance the optical force acting on a small…

Optics · Physics 2016-03-15 Shubo Wang , C. T. Chan

We outline here a simple mathematical introduction to the notions of multipoles for a general extensive property $\Pi$ from the point of view of continuum mechanics. Classically, $\Pi$ is the electric charge, but the theory is not limited…

Mathematical Physics · Physics 2025-05-27 Vladimir Gol'dshtein , Reuven Segev

We establish universal relationships between optical force/torque on a general particle and different parts of linear and angular momentum (AM) of generic monochromatic optical field. It is rigorously proved that the optical force comes…

Optics · Physics 2018-01-01 Yikun Jiang , Huajin Chen , Jun Chen , Jack Ng , Zhifang Lin

We discuss the multipolar expansion of the electromagnetic field with an emphasis on the radiated field. We investigate if the employment of Jefimenko's equations brings a new insight into the calculation of the radiation field. We show…

Classical Physics · Physics 2013-05-29 C. Vrejoiu , R. Zus

Optical fields can exert forces of chiral nature on molecules and nanoparticles, which would prove extremely valuable in the separation of enantiomers with pharmaceutical applications, yet it is inherently complex, and the varied frameworks…

We calculate the optical force and torque applied to an electric dipole by a spinning light field. We find that the dissipative part of the force depends on the orbital energy flow of the field only, because the latter is related to the…

Formal expressions are derived for the multipole expansion of the structure functions of a general polarization observable of exclusive electrodisintegration of the deuteron using a longitudinally polarized beam and/or an oriented target.…

Nuclear Theory · Physics 2007-05-23 Hartmuth Arenhoevel , Winfried Leidemann , Edward L. Tomusiak
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