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We describe a method to calculate the electrical force acting on a sphere in a suspension of dielectric spheres in a host with a different dielectric constant, under the assumption that a spatially uniform electric field is applied. The…

Materials Science · Physics 2009-11-11 Kwangmoo Kim , David Stroud , Xiangting Li , David J. Bergman

The present study concerns the dynamic radiation force on solid elastic spheres exerted by a plane wave with two frequencies (bichromatic wave) considering the nonlinearity of the fluid. Our approach is based on solving the wave scattering…

Fluid Dynamics · Physics 2009-11-13 Glauber T. Silva

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

The electrostatic force on a spherical particle near a planar surface is calculated for the cases of a uniform electric field applied in either normal or tangential direction to the surface. The particle and suspending media are assumed to…

Soft Condensed Matter · Physics 2022-10-05 Zhanwen Wang , Michael J. Miksis , Petia M. Vlahovska

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

The acoustic wave equation governs wave propagation induced by either volumetric radiation sources, or by surface sources of monopole or dipole type. For surface sources, boundary value problems yield wavefield representations via the…

Numerical Analysis · Mathematics 2026-04-07 Ashkan Javaherian , Seyed Kamaledin Setarehdan

The multipole expansion is a key tool in the study of light-matter interactions. All the information about the radiation of and coupling to electromagnetic fields of a given charge-density distribution is condensed into few numbers: The…

Optics · Physics 2018-05-08 R. Alaee , C. Rockstuhl , I. Fernandez-Corbaton

The acoustic wave-propagation without mean flow and heat flux can be described in terms of velocity and pressure by the compressible nonlinear Navier-Stokes equations, where boundary layers appear at walls due to the viscosity and a…

Analysis of PDEs · Mathematics 2017-01-10 Anastasia Thoens-Zueva , Kersten Schmidt , Adrien Semin

On the way of investigating a complete maneuverability technique and based on the emergence of negative acoustic radiation force on an active carrier in a progressive plane wave field, we propose a new technique in which not only the…

Classical Physics · Physics 2021-07-15 Majid Rajabi , Hossein Khodavirdi

The multipole expansion can be formulated in spherical and Cartesian coordinates. By constructing an explicit map linking both formulations in isotropic media, we discover a lack of equivalence between them in anisotropic media. In…

Starting from Jefimenko's equations, we consider the multipole expansions of electric and magnetic fields for a confined system of charges and currents. We analyze and comment on the calculus of radiated power, on the consistent use of…

Classical Physics · Physics 2009-10-08 C. Vrejoiu , R. Zus

In this study, we derive the asymptotic expressions for the electrostatic force between two charged spherical conductors in an electric field. Davis \cite{davis1964two} initially provided an expression for these forces, which are split into…

Mathematical Physics · Physics 2024-10-01 Natarajan Thiruvenkadam , Vishwanath Kadaba Puttanna

An acoustic wave equation for pressure accounting for viscoelastic attenuation is derived from viscoelastic equations of motion. It is assumed that the relaxation moduli are completely monotonic. The acoustic equation differs significantly…

Mathematical Physics · Physics 2014-01-31 Andrzej Hanyga

In this article, formulas for the calculation of force and torque between two circular filaments arbitrarily oriented in space were derived by using Kalantarov-Zeitlin's method. Formulas are presented in an analytical form through integral…

Applied Physics · Physics 2022-03-18 Kirill Poletkin

The force on electric and magnetic dipoles moving in vacuo is discussed in the general case of time-variable non-uniform fields and time-variable dipole moments, to first order in v/c and neglecting radiation reaction. Emphasis is given to…

Classical Physics · Physics 2016-12-07 G. Asti , R. Coïsson

Optical force can enable precise manipulations of small particles for various applications. It is well known that an isotropic lossless dielectric sphere is only subject to forward optical force under the illumination of an electromagnetic…

Optics · Physics 2025-03-07 Hengzhi Li , Wanyue Xiao , Tong Fu , Zheng Yang , Shubo Wang

We present a theoretical expression for the acoustic interaction force between small spherical particles suspended in an ideal fluid exposed to an external acoustic wave. The acoustic interaction force is the part of the acoustic radiation…

Fluid Dynamics · Physics 2016-02-02 Glauber T. Silva , Henrik Bruus

We present expressions for the energy, linear momentum and angular momentum carried away from an isolated system by gravitational radiation based on spin-weighted spherical harmonics decomposition of the Weyl scalar $\Psi_4$. We also show…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Milton Ruiz , Miguel Alcubierre , Dario Nunez , Ryoji Takahashi

A rigid spherical particle in an acoustic wave field oscillates at the wave period but has also a mean motion on a longer time scale. The dynamics of this mean motion is crucial for numerous applications of acoustic microfluidics, including…

Fluid Dynamics · Physics 2015-06-19 Jin-Han Xie , Jacques Vanneste

In this work, we study the acoustically mediated interaction forces among multiple well-separated spherical particles trapped in the same node or antinode plane of a standing wave. An analytical expression of the acoustic interaction force…

Soft Condensed Matter · Physics 2016-12-21 Shenwei Zhang , Chunyin Qiu , Mudi Wang , Manzhu Ke , Zhengyou Liu