Current status of the electrodynamics of moving media (infinite media)

Bolotovskiĭ, Boris M.; Stolyarov, S. N.

doi:10.1070/pu1975v017n06abeh004403

Cited by 41 publications

(38 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The fact that the coefficient in front of the Lorentztransformed time coordinate t  equals zero, that is kc n n 1 0 2 ( ) w --= , confirms that the potential in the WFR is indeed stationary. As one would expect, the constructed time-independent potential (5) is a solution to Maxwellʼs equations with the Minkowski constitutive relations in moving media [17].…”

Section: Diffraction Geometry In the Laboratory And Wave Frames Of Rementioning

confidence: 84%

Kapitza–Dirac effect with traveling waves

et al. 2015

View full text Add to dashboard Cite

We report on the possibility of diffracting electrons from light waves traveling inside a dielectric medium. We show that, in the frame of reference which moves with the group velocity of light, the traveling wave acts as a stationary diffraction grating from which electrons can diffract, similar to the conventional Kapitza-Dirac effect. To characterize the Kapitza-Dirac effect with traveling light waves, we make use of the Hamiltonian Analogy between electron optics and quantum mechanics and apply the Helmholtz-Kirchhoff theory of diffraction.

show abstract

Section: Diffraction Geometry In the Laboratory And Wave Frames Of Rementioning

confidence: 84%

Kapitza–Dirac effect with traveling waves

et al. 2015

View full text Add to dashboard Cite

show abstract

“…where ε is the dielectric constant, µ is the magnetic permeability, and σ describes the conductivity of the medium (see, for example, [1], [6], [7], [15], [16], [18], [21], [23], [28], [34], [37], [51], [57], [70], [72], [82], [86], [88], [90], [91] for fundamentals of classical electrodynamics).…”

Section: Maxwell's Equations In 3d-complex Formmentioning

confidence: 99%

“…Electromagnetic phenomena in moving media are important in relativistic astrophysics, the study of accelerated plasma clusters and high-energy electron beams [15], [16], [26], [91].…”

Section: Materials Equations Potentials and Energy-momentum Tensor Fmentioning

confidence: 99%

“…In this methodological note, we discuss a complex version of Minkowski's phenomenological electrodynamics (at rest or in a moving medium) without assuming any particular form of material equations as far as possible. Lorentz invariance of the corresponding differential balance equations is emphasized in view of long-standing uncertainties about the electromagnetic stresses and momentum density, the so-called "Abraham-Minkowski controversy" (see, for example, [5], [15], [19], [22], [24], [30], [31], [32], [34], [36], [51], [62], [63], [67], [68], [69], [72], [73], [74], [78], [80], [85], [89], [92], [93], [94], [95] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Complex Form of Classical and Quantum Electrodynamics

Kryuchkov

Lanfear

Suslov

2017

Springer Proceedings in Mathematics &Amp; Statistics

View full text Add to dashboard Cite

Physical laws should have mathematical beauty. " -P. A. M. DiracAbstract. We consider a complex covariant form of the macroscopic Maxwell equations, in a moving medium or at rest, following the original ideas of Minkowski. A compact, Lorentz invariant, derivation of the energy-momentum tensor and the corresponding differential balance equations are given. Conservation laws and quantization of the electromagnetic field will be discussed in this covariant approach elsewhere.

show abstract

“…waveguides which are getting more interest and consideration due to their proposed application for optical moving sensors [2, 3,4,5]. The propagation characteristics of moving waveguides have been investigated for a lossless structure where the cladding and film are moving uniformly with different longitudinal velocities [2,3].…”

mentioning

confidence: 99%

Two methods (numerical and analytical) of the analysis of complex moving waveguides

Shabat¹,

Abd-El-Naby

Madi³

et al. 1998

OPTIKA '98: 5th Congress on Modern Optics

View full text Add to dashboard Cite

This paper presents two methods ofanalysis ofthe complex moving waveguide One approach is a numerical technique based on Davedinko's method , the other is a perturbation method. It is clear that if one wants to obtain more accurate results over a wide range it is necessary to develop numerical techniques capable for solving lossy waveguides that has a complex propagation constant or a complex dielectric constant. Newton's method is one of these methods which requires several iterations in the complex plane ,but this method fails in most cases in producing satisfactory results. Davedinko technique offers an alternative which is efficient and reliable and which relaxes the extent ofthe restriction placed on initial guess to be sufficiently close to the solution. The main idea ofDavidenko's algorithm is to reduce Newton's method for the numerical solution ofn-coupled nonlinear algebraic equations into ncoupled first-order differential equations in a dummy variable. The second one is a simple and accurate perturbation method, where the real part 13' ofthe complex modal index f3 = + if3' ' is obtained by solving the corresponding real eigenvalue equation and the imaginary part f3' ' is given by ( t3/ôf)' ' , where c c' + ic' ' is the dielectric constant ofthe absorptive layer, and ( a3'/c') is obtained by numerical differentiation.Numerical results by Davidenko's method are compared with these obtained from the perturbation method. It is found that the perturbation method is in a good agreement with the numerical one Furthermore ,for the first time to our knowledge, the complex propagation characteristics are presented for moving waveguides. These results could be used in designing many optical moving sensors.

show abstract

Current status of the electrodynamics of moving media (infinite media)

Cited by 41 publications

References 1 publication

Kapitza–Dirac effect with traveling waves

Kapitza–Dirac effect with traveling waves

Complex Form of Classical and Quantum Electrodynamics

Two methods (numerical and analytical) of the analysis of complex moving waveguides

Contact Info

Product

Resources

About