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Theory of Electrodynamics in Media in Noninertial Frames and Applications

Tse Chin Mo
- 01 Aug 1970 - 
- Vol. 11, Iss: 8, pp 2589-2610
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TLDR
In this paper, the theory of local electrodynamics of media in given noninertial frames, within the Maxwell-Einstein theory, is constructed in terms of local observable EM fields and physical media parameters of its comoving frame.
Abstract
The theory of local electrodynamics of media in given noninertial frames, within the Maxwell‐Einstein theory, is constructed in terms of local observable EM fields and physical media parameters of its comoving frame. Localization of tensors to observables for and their relations among observers in different frames are introduced; local and global constitutive tensors and local Maxwell equations are obtained and interpreted. Also, a Lagrangian formulation for both lossless and lossy media is constructed, and boundary conditions, local conservation laws, and energy tensors are obtained. The applications concern linear accelerational and rotational media in flat space‐time for which local Maxwell equations in comoving frames are obtained. Then an EM wave propagating in the direction of acceleration is studied in the accelerating frame. The first‐order propagation shows a frequency shift and amplitude change which have very simple physical significances of instantaneous Doppler shift and photon density in med...

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The Sagnac effect: correct and incorrect explanations

TL;DR: In this paper, it is shown that the Sagnac effect is a consequence of the relativistic law of velocity composition and that it can also be explained adequately within the framework of general relativity.
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Electromagnetic fields in the presence of rotating bodies

TL;DR: In this article, a rotating circular cylinder immersed in a plane wave of the E or H type is considered and its equations are written in these coordinates, together with relevant constitutive equations and boundary conditions.
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Phenomenological and electron-theoretical study of the electrodynamics of rotating systems

TL;DR: In this article, a phenomenological and electron-theoretical study of the electrodynamics of rotating systems is developed in the three-dimensional form under the assumption that the observer is at rest in the inertial or rotating reference frame and that the macroscopic properties of the material medium are not changed by the acceleration acting upon it.
Journal ArticleDOI

Relativistic bounds states for a neutral particle confined to a parabolic potential induced by noninertial effects

TL;DR: Tan and Inkson as discussed by the authors obtained the solutions of the Dirac equation when the noninertial effects of the Fermi-Walker reference frame break the relativistic Landau-Aharonov-Casher quantization, but they provided bound states in an analogous way to a Dirac neutral particle subject to Tan-Inkson quantum dot potential.
References
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Book

Electrodynamics of continuous media

TL;DR: In this article, the propagation of electromagnetic waves and X-ray diffraction of X rays in crystals are discussed. But they do not consider the effects of superconductivity on superconducting conductors.
Book

Light Scattering by Small Particles

TL;DR: Light scattering by small particles as mentioned in this paper, Light scattering by Small Particle Scattering (LPS), Light scattering with small particles (LSC), Light Scattering by Small Parts (LSP),
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Riemannian Geometry

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The Meaning of Relativity

TL;DR: The Meaning of Relativity as mentioned in this paper is the first book by Einstein to be published by an American publisher, having been published by Princeton University Press in 1921 under the title "The Stafford Little Lectures for that year".
Book

Electrodynamics of moving media

TL;DR: In this article, a nonrelativistic continuum mechanics and thermodynamics based approach is proposed for the nonlinearity of a simple polarizable fluid and the non-relativism of virtual power.