Photon polarizability and its effect on the dispersion of plasma waves

Dodin, I. Y.; Ruiz, D. E.

doi:10.1017/s0022377817000198

Cited by 2 publications

(2 citation statements)

References 20 publications

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“…Let us analyze the terms appearing in Eq. (66). For example, K · K = (Ω/c) 2 − K = 0 for a vacuum wave, so the second line vanishes.…”

Section: B Example 2: Ponderomotive Dynamics Of a Relativistic Spinlmentioning

confidence: 98%

“…In principle, one must account for this polarizability when calculating ε; i.e., photons contribute to the linear dielectric tensor just like electrons and ions [66,67]. That said, the effect is relatively small, and ignoring the photon contribution to the plasma dielectric tensor is justified except at large enough photon densities [66]. Similar calculations are also possible for dissipative dynamics and vector waves and also help understand the modulational dynamics of wave ensembles in a general context.…”

Section: B Examplesmentioning

confidence: 99%

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Ponderomotive dynamics of waves in quasiperiodically modulated media

Ruiz

Dodin

2017

Phys. Rev. A

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Similarly to how charged particles experience time-averaged ponderomotive forces in high-frequency fields, linear waves also experience time-averaged refraction in modulated media. Here we propose a covariant variational theory of this "ponderomotive effect on waves" for a general nondissipative linear medium. Using the Weyl calculus, our formulation accommodates waves with temporal and spatial period comparable to that of the modulation (provided that parametric resonances are avoided). Our theory also shows that any wave is, in fact, a polarizable object that contributes to the linear dielectric tensor of the ambient medium. The dynamics of quantum particles is subsumed as a special case. As an illustration, ponderomotive Hamiltonians of quantum particles and photons are calculated within a number of models. We also explain a fundamental connection between these results and the commonly known expression for the electrostatic dielectric tensor of quantum plasmas.Comment: 14 pages, 2 figure

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“…Let us analyze the terms appearing in Eq. (66). For example, K · K = (Ω/c) 2 − K = 0 for a vacuum wave, so the second line vanishes.…”

Section: B Example 2: Ponderomotive Dynamics Of a Relativistic Spinlmentioning

confidence: 98%

Section: B Examplesmentioning

confidence: 99%

Ponderomotive dynamics of waves in quasiperiodically modulated media

Ruiz

Dodin

2017

Phys. Rev. A

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Evolution of coupled weakly driven waves in a dissipative plasma

Pham,

Duarte

2023

Physics of Plasmas

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The nonlinear collisional dynamics of coupled driven plasma waves in the presence of background dissipation is studied analytically within kinetic theory. Sufficiently near marginal stability, phase space correlations are poorly preserved and time delays become unimportant. The system is then shown to be governed by two first-order coupled autonomous differential equations of cubic order for the wave amplitudes and two complementary first-order equations for the evolution of their phases. That system of equations can be decoupled and further simplified to a single second-order differential equation of Liénard's type for each amplitude. Numerical solutions for this equation are obtained in the general case, while analytic solutions are obtained for special cases in terms of parameters related to the spacing of the resonances of the two waves in frequency space, e.g., wave lengths and oscillation frequencies. These parameters are further analyzed to find classes of quasi-steady saturation and pulsating scenarios. To classify equilibrium points, local stability analysis is applied, and bifurcation conditions are determined. When the two waves saturate at similar amplitude levels, their combined signal is shown to invariably exhibit amplitude beating and phase jumps of nearly π. The obtained analytical results can be used to benchmark simulations and to interpret eigenmode amplitude measurements in fusion experiments.

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Photon polarizability and its effect on the dispersion of plasma waves

Cited by 2 publications

References 20 publications

Ponderomotive dynamics of waves in quasiperiodically modulated media

Ponderomotive dynamics of waves in quasiperiodically modulated media

Evolution of coupled weakly driven waves in a dissipative plasma

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