Covariance of Maxwell equations and comparison of electrodynamic systems

Miller, M.A.; Sorokin, Yu. M.; Stepanov, N. S.

doi:10.3367/ufnr.0121.197703e.0525

Cited by 13 publications

(3 citation statements)

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“…However, this electrodynamic force equation (with a new term beyond the standard Lorentz equation) become galilean invariant. It was shown, however, that classical electrodynamics can be formulated consistently with Galilean transformations [66], in particular, through an appropriated redefinition of the fields constitutive equations [67].…”

Section: Discussionmentioning

confidence: 99%

Fluidic electrodynamics: Approach to electromagnetic propulsion

Martins¹,

Pinheiro²

2009

AIP Conference Proceedings

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We report on a new methodological approach to electrodynamics based on a fluidic viewpoint. We develop a systematic approach establishing analogies between physical magnitudes and isomorphism (structure-preserving mappings) between systems of equations. This methodological approach allows us to give a general expression for the hydromotive force, thus re-obtaining the Navier-Stokes equation departing from the appropriate electromotive force. From this ground we offer a fluidic approach to different kinds of issues with interest in propulsion, e.g., the force exerted by a charged particle on a body carrying current; the magnetic force between two parallel currents; the Magnus's force. It is shown how the intermingle between the fluid vector fields and electromagnetic fields leads to new insights on their dynamics. The new concepts introduced in this work suggest possible applications to electromagnetic (EM) propulsion devices and the mastery of the principles of producing electric fields of required configuration in plasma medium.

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Section: Discussionmentioning

confidence: 99%

Fluidic electrodynamics: Approach to electromagnetic propulsion

Martins¹,

Pinheiro²

2009

AIP Conference Proceedings

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“…This restriction may be eliminated by formulating an adequate covariant model for the plasma theory. Several papers have addressed the development of a covariant formulation of electrodynamics in a moving medium (e.g., Gabrilenko et al 1970;Gabrilenko 1971Gabrilenko , 1972Melrose 1973;Bolotowski 1974;Bolotowski andStolayrov 1976, 1983;Tamm 1975;Stolayrov 1978;Miller et al 1977). Many of these discussions study the electromagnetic response of moving media and describe electromagnetic wave propagation (e.g., Kunz 1980;Lopez 1996aLopez , 1996bLopez , 2004Lopez , 2006Huang 1997).…”

Section: Introductionmentioning

confidence: 97%

Relativistic dispersion effects on SS433 jets

Lopez

Pino

2008

Astrophys Space Sci

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We here investigate the dispersion properties of radiation in the SS433 relativistic jets. We assume that the jet is composed of cold electron-proton plasma immersed in a predominantly parallel magnetic field to the jet axis. We find that for the mildly relativistic source SS433 (for which ψ 79°), the bulk velocity is too small (v 0.26c) to produce significant changes in the dispersion properties of the medium. Nonetheless, in the rarefied outer regions of the jets, where radio emission dominates, even a weak magnetic field has some influence on the dispersion properties and there appear two different electromagnetic branches that are slightly sensitive to the bulk relativistic motion. In the inner, X-ray region, the magnetic field is much stronger, but in this region the high electron density preserves the isotropic character of the local plasma and no branch separation occurs. In the region of the jet where the IR and optical emission dominates, the cold plasma may be also considered isotropic, i.e., neither the magnetic field nor the bulk velocity is able to affect the propagation of the radiation. Finally, we find that the Doppler line displacement in SS433 is affected by plasma dispersion only in a narrow frequency range in the far IR. As a consequence, although the shift (z) modulation due to precession of the SS433 jets is well described by previous work, it has to be corrected by plasma dispersion effects in the far-IR range.

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“…Later in the 1970s and 80s, additional papers reinforced the theory on the behavior of electromagnetic radiation in moving systems (i.e., Gabrilenko et al 1970;Gabrilenko 1971Gabrilenko , 1972Melrose 1973;Bolotowski & Stolayrov 1974, 1976Tamm 1975;Stolayrov1978;Miller et al 1977). Many of these discussions are related to the study of the electromagnetic response of moving media and to the description of electromagnetic wave propagation (e.g., Kunz 1980;Lopez 1996aLopez , 1996bLopez , 2004Huang 1997).…”

Section: Model Assumptionsmentioning

confidence: 99%

The Faraday Rotation Effect in Quasar Jets

Lopez¹

2006

ApJ

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The Very Long Baseline Array ( VLBA) polarimetric observations of extragalactic compact radio sources and quasars show rotation measure ( RM) values that are much smaller than the enormous values predicted by the theory. This is under the assumption that the narrow-line region (NLR) and the broad-line region (BLR) are the Faraday medium in which the observed RM is produced. It is expected that the polarized emission in the parsec scale of these sources displays rest-frame RM values ranging from 10 5 to 10 8 rad m À2, whereas, the observed RMs of quasars and active galactic nuclei typically range from 10 2 to 10 4 rad m À2 and, for most extragalactic sources, from 1 to 100 rad m À2. Recently, a dispersion model for highly relativistic jets has been proposed. The dependence of the observed radiation on the amount of relativistic motion, as well as on the geometry and intrinsic properties of the jets, has been analyzed. We employ several results of this dispersion model in order to discuss a possible solution to the RM problem. The RM and the electric vector of polarization angle (EVPA) in a relativistically moving plasma have been defined. We propose taking into account the relativistic motion of the medium in which the radiation is propagating, in order to avoid the large depolarization and also to permit the existence of high rest-frame rotation measure (RM 0 ) values.

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Covariance of Maxwell equations and comparison of electrodynamic systems

Cited by 13 publications

References 0 publications

Fluidic electrodynamics: Approach to electromagnetic propulsion

Fluidic electrodynamics: Approach to electromagnetic propulsion

Relativistic dispersion effects on SS433 jets

The Faraday Rotation Effect in Quasar Jets

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