2 edition of **Electromagnetic energy-momentum tensor within material media** found in the catalog.

Electromagnetic energy-momentum tensor within material media

I. Brevik

- 187 Want to read
- 37 Currently reading

Published
**1970**
by Munksgaard in København
.

Written in English

- Electromagnetic theory.,
- Calculus of tensors.

**Edition Notes**

Includes bibliographical references.

Statement | [by] I. Brevik. |

Series | Det Kongelige Danske videnskabernes selskab. Matematisk-fysiske meddelelser 37, 11, 13, Matematisk-fysiske meddelelser (Kongelige Danske videnskabernes selskab) ;, 37:11, etc. |

Classifications | |
---|---|

LC Classifications | AS281 .D215 bd. 37, nr. 11, etc., QC670 .D215 bd. 37, nr. 11, etc. |

The Physical Object | |

Pagination | 2 v. |

ID Numbers | |

Open Library | OL5097858M |

LC Control Number | 74169714 |

This tensor is called the Maxwell energy-momentum (or stress-energy) tensor. (11) In 4-dimensional notation, compute the divergence of the energy-momentum tensor and use the Bianchi identities and the Maxwell equations to show that @ T = J F: Problem 11 shows that the electromagnetic energy-momentum is not conserved if the current is nonzero. radiation and scattering phenomena, electromagnetic waves and their propagation in vacuum and in media, and covariant Lagrangian/Hamiltonian ﬁeld theoretical meth-ods for electromagnetic ﬁelds, particles and interactions. The aim has been to write a book that can serve both as an advanced text in Classical Electrodynamics and as a.

We derive electromagnetic continuity equations and equations of motion for the macroscopic fields based on the material four-divergence of the traceless, symmetric total energy–momentum tensor. We identify contradictions between the macroscopic Maxwell equations and the continuum form of the conservation principles. Construction of the stress-energy tensor:ﬁrst approach and the theory of elastic media. The following design—taken from his “On Electromagnetic energy/momentum: second approach. Weknowthatinthe presenceofanimpressed electromagneticﬁeldF.

permittivity and magnetic permeability of the material are known at the frequency of the applied ﬁeld (as is the case, e.g., for Clausius–Mossotti or Lorentz–Lorenz-type media). In this work, we introduce a general expression for the electromagnetic force density written in terms of the three-dimensional energy–momentum tensor and the. @article{osti_, title = {Electromagnetic energy momentum in dispersive media}, author = {Philbin, T G}, abstractNote = {The standard derivations of electromagnetic energy and momentum in media take Maxwell's equations as the starting point. It is well known that for dispersive media this approach does not directly yield exact expressions for the energy and momentum densities.

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Volume 31A, number 2 PHYSICS LETTERS 26 January ELECTROMAGNETIC ENERGY-MOMENTUM TENSOR WITHIN MATERIAL MEDIA I. BREVIK Institute of Theoretical Physics, NTH, Trondheim, Norway Received 11 December It is concluded that Minkowski's and Abraham's tensors are equivalent in the usual physical cases, and moreover give a satisfactory description of the Cited by: 9.

Get this from a library. Electromagnetic energy-momentum tensor within material media. [I Brevik]. Electromagnetic energy-momentum tensor within material media / 2, Discussion of various tensor forms.

ENERGY-MOMENTUM TENSOR WITHIN MATERIAL MEDIA 2. DISCUSSION OF VARIOUS TENSOR FORM S Further introductions to the subject are given in the books by C. MØL-LER (7) and W. PAuLI(8), and in the review article by G. MARx(9). the propagation of an electromagnetic wave within an isotropic body at rest.

@article{osti_, title = {Electromagnetic momentum and the energy–momentum tensor in a linear medium with magnetic and dielectric properties}, author = {Crenshaw, Michael E., E-mail: @}, abstractNote = {In a continuum setting, the energy–momentum tensor embodies the relations between conservation of energy, conservation of linear momentum.

The electromagnetic energy-momentum tensor in a material medium re-presents a problem that has given rise to a very long-lasting discussion. Maxwell's field equations may be written in covariant form as aÄF~v + aFti Fv2 + ay FA., = 0, av H~v = c j,u, () where the antisymmetric field tensors Fm, and H,uv are defined by (F23, F The electromagnetic field has a stress-energy tensor associated with it.

From our study of electromagnetism we know that the electromagnetic field has energy density \(U=(E^2+B^2)/8\pi k\) and momentum density \(\vec{S}=(\vec{E}\times\vec{B})/4\pi k\) (in units where \(c=1\), with \(k\) being the Coulomb constant).

The Abraham–Minkowski controversy is a physics debate concerning electromagnetic momentum within dielectric media. Traditionally, it is argued that in the presence of matter the electromagnetic stress-energy tensor by itself is not conserved (divergenceless).

Electromagnetic Energy-Momentum Tensor for Non-Homogeneous Media in the Theory of Relativity Andrei Nicolaide Abstract — The tensor calculus, using certain suitable transformations, permits to establish the expression of the energy-momentum tensor, also called energy quantity of motion tensor, for domains submitted to an electromagnetic field.

We discuss the electromagnetic energy–momentum distribution and the mechanical forces of the electromagnetic field in material media.

There is a long-standing controversy on these notions. The Minkowski and the Abraham energy–momentum tensors are the most well-known ones. The energy–momentum tensor is a fundamental concept characterizing the electromagnetic field in the vacuum and media.

The temporal components of this tensor represented in the four-dimensional form determine the energy and momentum densities and the energy flux density.

Maxwell's tensor: Momentum in electromagnetic fields: Energy - Momentum Tensors for Dispersive Electromagnetic Waves Article (PDF Available) in Australian Journal of Physics 30(6) October with 71 Reads How we measure 'reads'.

Electromagnetic energy-momentum tensor within material media Brevik, I. Abstract. It is concluded that Minkowski's and Abraham's tensors are equivalent in the usual physical cases, and moreover give a satisfactory description of the observable phenomena.

Publication: Physics. A 71 ()] an electromagnetic energy-momentum tensor is suggested as an alternative to the Abraham-Minkowski tensor and is applied to calculations of Casimir forces in planar geometries. We derive electromagnetic continuity equations and equations of motion for the macroscopic fields based on the material four-divergence of the traceless, symmetric total energy-momentum tensor.

We identify contradictions between the macroscopic Maxwell equations and the continuum form of the conservation principles.

5 Electromagnetic eld theory 97 Improved Maxwell energy-momentum tensor learning the material. They are presented rst within the text in order to amplify the text and to give you a contextual hint about what is needed to solve the problem.

At the end of. Brevik: Experiments in phenomenological electrodynamics and the electromagnetic energy-momentum tensor, Phys. Rpts. 52, – (May ) ADS CrossRef Google Scholar D.G. Lahoz, G.M. Graham: Measurement of forces related to electromagnetic momentum in material media at low frequencies, Can.

Phys. 57, – () ADS Google. Electromagnetic Theory II CONTENTS • Special relativity; Lorentz covariance of Maxwell equations • Scalar and vector potentials, and gauge invariance • Relativistic motion of charged particles • Action principle for electromagnetism; energy-momentum tensor • Electromagnetic waves; waveguides • Fields due to moving charges.

Splitting the Electromagnetic tensor 9 B. Field energy-momentum tensor in vacuum 10 C. Abraham and Minkowski momenta 10 D. The von Laue-Møller argument 12 E. Balazs argument and hidden momentum 13 F.

Alternative approaches 13 G. Comparison of the tensors 14 V. Force and torque on dipolar systems 15 A. Conditions on the force 15 B. Dipolar. Browse other questions tagged electromagnetism lagrangian-formalism metric-tensor stress-energy-momentum-tensor or ask your own question.

Featured on Meta Feedback post: New moderator reinstatement and appeal process revisions.with unique electromagnetic values are being undertaken. Therefore, the issue of interaction of EMF with medium has gone to the frontburner.

Electromagnetic forces in continuous medium are usually expected to be found in the form of four-dimensional divergence of energy-momentum tensor of (EMT) [1], playing a key role in this task.The energy–momentum tensor of the electromagnetic field is introduced.

It is subsequently decomposed with respect to a given observer, into the electromagnetic energy density, the Poynting vector and the Maxwell stress tensor. The energy–momentum tensor is computed for the electromagnetic field generated by an accelerated charge.