Generalized Lorentz Law and the force of radiation on magnetic dielectrics

Research output: Chapter in Book/Report/Conference proceedingConference contribution

8 Citations (Scopus)

Abstract

The macroscopic equations of Maxwell combined with a generalized form of the Lorentz law are a complete and consistent set; not only are these five equations fully compatible with the special theory of relativity, they also conform with the conservation laws of energy, momentum, and angular momentum. The linear momentum density associated with the electromagnetic field is p EM(r,t)=E(r,t)×H(r,t)/c2, whether the field is in vacuum or in a ponderable medium. [Homogeneous, linear, isotropic media are typically specified by their electric and magnetic permeabilities εo ε(ω) and μoμ(ω).] The electromagnetic momentum residing in a ponderable medium is often referred to as Abraham momentum. When an electromagnetic wave enters a medium, say, from the free space, it brings in Abraham momentum at a rate determined by the density distribution pEM(r,t), which spreads within the medium with the light's group velocity. The balance of the incident, reflected, and transmitted (electromagnetic) momenta is subsequently transferred to the medium as mechanical force in accordance with Newton's second law. The mechanical force of the radiation field on the medium may also be calculated by a straightforward application of the generalized form of the Lorentz law. The fact that these two methods of force calculation yield identical results is the basis of our claim that the equations of electrodynamics (Maxwell + Lorentz) comply with the momentum conservation law. When applying the Lorentz law, one must take care to properly account for the effects of material dispersion and absorption, discontinuities at material boundaries, and finite beam dimensions. This paper demonstrates some of the issues involved in such calculations of the electromagnetic force in magnetic dielectric media.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Volume7038
DOIs
StatePublished - 2008
EventOptical Trapping and Optical Micromanipulation V - San Diego, CA, United States
Duration: Aug 10 2008Aug 13 2008

Other

OtherOptical Trapping and Optical Micromanipulation V
CountryUnited States
CitySan Diego, CA
Period8/10/088/13/08

Fingerprint

Momentum
Radiation
momentum
radiation
Conservation Laws
electromagnetism
conservation laws
Conservation
Electromagnetic Force
Newton second law
Magnetic permeability
Relativity
macroscopic equations
Group Velocity
Angular momentum
Electrodynamics
Free Space
Electromagnetic Wave
isotropic media
Angular Momentum

Keywords

  • Electromagnetic theory
  • Momentum of light
  • Optical trapping
  • Radiation pressure

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Mansuripur, M. (2008). Generalized Lorentz Law and the force of radiation on magnetic dielectrics. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 7038). [70381T] https://doi.org/10.1117/12.796530

Generalized Lorentz Law and the force of radiation on magnetic dielectrics. / Mansuripur, Masud.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 7038 2008. 70381T.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mansuripur, M 2008, Generalized Lorentz Law and the force of radiation on magnetic dielectrics. in Proceedings of SPIE - The International Society for Optical Engineering. vol. 7038, 70381T, Optical Trapping and Optical Micromanipulation V, San Diego, CA, United States, 8/10/08. https://doi.org/10.1117/12.796530
Mansuripur M. Generalized Lorentz Law and the force of radiation on magnetic dielectrics. In Proceedings of SPIE - The International Society for Optical Engineering. Vol. 7038. 2008. 70381T https://doi.org/10.1117/12.796530
Mansuripur, Masud. / Generalized Lorentz Law and the force of radiation on magnetic dielectrics. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 7038 2008.
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