Electromagnetic force distribution inside matter
arXiv:1308.3511 · doi:10.1103/PhysRevA.88.023826
Abstract
Using the Finite Difference Time Domain method, we solve Maxwell's equations numerically and compute the distribution of electromagnetic fields and forces inside material media. The media are generally specified by their dielectric permittivity epsilon(w) and magnetic permeability mu(w), representing small, transparent dielectric and magnetic objects such as platelets and micro-beads. Using two formulations of the electromagnetic force-density, one due to H. A. Lorentz [Collected Papers 2, 164 (1892)], the other due to A. Einstein and J. Laub [Ann, Phys. 331, 541 (1908)], we show that the force-density distribution inside a given object can differ substantially between the two formulations. This is remarkable, considering that the total force experienced by the object is always the same, irrespective of whether the Lorentz or the Einstein-Laub formula is employed. The differences between the two formulations should be accessible to measurement in deformable objects.
20 pages, 12 figures, 21 equations, 47 references
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- Electromagnetic Angular Momentum
- Electromagnetic Force and Momentum
- Revisiting the Photon-Drag Effect in Metal Films
- Electromagnetic stress at the boundary: photon pressure or tension?
- Minkowski Momentum Resulting from a Vacuum-Medium Mapping Procedure, and a Brief Review of Minkowski Momentum Experiments
- Radiation Forces and the Abraham-Minkowski Problem
- Spin Angular Momentum Transfer and Plasmogalvanic Phenomena
- Analytic derivation of electrostrictive tensors and their application to optical force density calculations
- Force, Torque, Linear Momentum, and Angular Momentum in Classical Electrodynamics
- Critical study and discrimination of different formulations of electromagnetic force density and consequent stress tensors inside matter
- Anomalous Geometric Spin Hall Effect of Light?
- Electromagnetic stress tensor for amorphous metamaterial medium
- Unraveling the Angular Symmetry of Optical Force in a Solid Dielectric
- Closed-form expressions for effective constitutive parameters and electro/magneto-strictive tensors for bi-anisotropic metamaterials and their use in optical force density calculations
- Optical forces, torques and force densities calculated at a microscopic level using a self-consistent hydrodynamics method
- The Microscopic Ampère formulation for the electromagnetic force density in linear dielectrics
- Scarf for Lifshitz
- Electromagnetic force and torque in Lorentz and Einstein-Laub formulations
- The Charge-Magnet Paradoxes of Classical Electrodynamics
- Light-Matter Interaction: Conversion of Optical Energy and Momentum to Mechanical Vibrations and Phonons
- Optical force laws for guided light in linear media
- Duality, decay rates and local-field models in macroscopic QED
- Reply to "Comment on 'Theoretical analysis of the force on the end face of a nano-filament exerted by an outgoing light pulse'"