On the energy flux of stationary electromagnetic waves in anisotropic dissipative media with spatial dispersion

Tokman, M. D.; Westerhof, E.; Gavrilova, M. A.

doi:10.1134/1.1342880

Cited by 5 publications

(7 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In our previous papers, we have shown how for the time independent case the term G can be recast in order to obtain the wave power balance in the form ∇S + Q = 0, with modified wave power flux S and power loss Q [9,10]. What follows is a straightforward generalization of these results from threedimensional space dependence to four-dimensional spacetime dependence.…”

Section: The Power Balance Equationmentioning

confidence: 85%

“…In previous papers, we have derived a generalized wave energy flux for time independent wave beams [9,10]. The real part of the eigenvalue of the dispersion tensor corresponding to the wave mode under consideration has been identified as an appropriate ray-Hamiltonian in this case: it has been shown that the ray traces obtained by this approach coincide with the direction of the generalized energy flux.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Wave power balance in resonant dissipative media with spatial and temporal dispersion

2003

View full text Add to dashboard Cite

A power balance for waves in resonant dissipative media is formulated, which generalizes well-known expressions for dielectric wave energy density, wave energy flux, and dissipated power density. The identification of the different terms with wave energy density and flux remains only phenomenological. The result is better viewed as an equation for the evolution of wave intensity. In that form, its consequences are discussed in particular in relation to anomalous dispersion. A discrimination is made between boundary and initial value problems. For boundary value problems, anomalous dispersion is shown not to lead to unphysical results. In contrast, for initial value problems the solution for the evolution of wave intensity is shown to be at fault in the case of anomalous dispersion. Further illustration is provided by consideration of wave dispersion in a medium of charged harmonic oscillators and of ordinary-mode dispersion in plasma. Both are characterized by anomalous dispersion and show marked differences in the solutions of the dispersion relation solved either for complex wave vector at real frequency, k(ω) (applicable to boundary value problems), or for complex frequency at real wave vector ω(k) (applicable to initial value problems).

show abstract

Section: The Power Balance Equationmentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Wave power balance in resonant dissipative media with spatial and temporal dispersion

2003

View full text Add to dashboard Cite

show abstract

“…, and λ t (ω t , k t ) are the eigennumbers of the operators D s pm and D t pm , which determine, in particular, the law of wave dispersion in the linear approximation: λ s (ω s , k s , r) = 0 and λ t (ω t , k t , r) = 0 (on using the eigennumber of the corresponding operator in the dispersion equation see [19,20]). In the absence of the right-hand sides, Eqs.…”

Section: Basic Equationsmentioning

confidence: 99%

“…(11) have the integrals div(p s |A s | 2 ) = 0 and div(p t |A t | 2 ) = 0. These integrals reflect the conservation of wave-energy fluxes (on presenting the energy flux in the form I = p |A| 2 see [19,20] for more detail). In the presence of nonlinear interaction and taking into account symmetry relationships (6), from Eq.…”

Section: Basic Equationsmentioning

confidence: 99%

A new approach for diagnostics of dense magnetoactive plasmas using the effect of parametrically induced transparency

Kryachko

Tokman

Westerhof

2007

Radiophys Quantum Electron

Self Cite

View full text Add to dashboard Cite

UDC 533.9We study theoretically the effect of parametrically induced transparency. The main idea of this effect is transport of the upper-hybrid radiation of overdense toroidal plasmas in vacuum through the opaque region by parametric shift of the radiation frequency. We propose that the microwave radiation employed for electron-cyclotron heating at the second cyclotron harmonic in tokamaks is used as the drive wave. Calculations performed for the TEXTOR tokamak demonstrate that this effect is promising for diagnostics of dense plasmas in toroidal devices if a gyrotron with an ouput power of several hundred kilowatts is used.

show abstract

“…One of the reasons, already described in the previous section, is that the dissipation in terms of geometric optics, Im H(x, q) > 0, does not guarantee the positive-definiteness of the corresponding operator termĤ A . More generally, this is a known issue of finding a proper approximation for physically correct wave absorption in media with a spatial dispersion [22][23][24][25][26][27] . In our case, errors in the approximation of the Hermitian part (e.g.…”

Section: Numerical Solutionmentioning

confidence: 99%

Quasi-optical theory of microwave plasma heating in open magnetic trap

et al. 2016

View full text Add to dashboard Cite

Microwave heating of a high-temperature plasma confined in a large-scale open magnetic trap, including all important wave effects like diffraction, absorption, dispersion and wave beam aberrations, is described for the first time within the first-principle technique based on consistent Maxwell's equations. With this purpose, the quasi-optical approach is generalized over weakly inhomogeneous gyrotrotropic media with resonant absorption and spatial dispersion, and a new form of the integral quasi-optical equation is proposed. An effective numerical technique for this equation's solution is developed and realized in a new code QOOT, which is verified with the simulations of realistic electron cyclotron heating scenarios at the Gas Dynamic Trap at the Budker Institute of Nuclear Physics (Novosibirsk, Russia).

show abstract

On the energy flux of stationary electromagnetic waves in anisotropic dissipative media with spatial dispersion

Cited by 5 publications

References 2 publications

Wave power balance in resonant dissipative media with spatial and temporal dispersion

Wave power balance in resonant dissipative media with spatial and temporal dispersion

A new approach for diagnostics of dense magnetoactive plasmas using the effect of parametrically induced transparency

Quasi-optical theory of microwave plasma heating in open magnetic trap

Contact Info

Product

Resources

About