The need for a first-order quasi Lorentz transformation

D. Censor

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

Solving electromagnetic scattering problems involving non-uniformly moving objects or media requires an approximate but consistent extension of Einstein's Special Relativity theory, originally valid for constant velocities only. For moderately varying velocities a quasi Lorentz transformation is presented. The conditions for form-invariance of the Maxwell equations, the so-called "principle of relativity", are shown to hold for a broad class of motional modes and time scales. A simple example of scattering by a harmonically oscillating mirror is analyzed in detail. Application to generally orbiting objects is mentioned.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences - Proceedings of the 2nd International Conference, AMiTaNS'10
Pages3-13
Number of pages11
DOIs
StatePublished - 1 Dec 2010
Event2nd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'10 - Sozopol, Bulgaria
Duration: 21 Jun 201026 Jun 2010

Publication series

NameAIP Conference Proceedings
Volume1301
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on Application of Mathematics in Technical and Natural Sciences, AMiTaNS'10
Country/TerritoryBulgaria
CitySozopol
Period21/06/1026/06/10

Keywords

  • Maxwell equations
  • moving objects
  • special relativity
  • wave scattering

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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