Damping of linear waves via ionization and recombination in homogeneous plasmas

Dodin, I. Y.; Fisch, N. J.

doi:10.1063/1.3514166

Cited by 14 publications

(23 citation statements)

References 61 publications

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“…The factorω can be both space and time dependent, which determines the region of interaction. The coupled wave equations (12) and (13) can describe the electromagnetic wave propagation in an arbitrarily ionized plasma specified by the parametersω(t, r) and ω(t, r). The solution can be found numerically if the profile of plasma ionization is complicated.…”

Section: Modelmentioning

confidence: 99%

“…To illustrate the coupling between the forwardand backward-propagation modes during frequency upconversion, we show, in Fig. 1, an example of the envelope evolution of a laser pulse in an ionizing plasma by solving the coupled wave equations (12) and (13). The initial laser pulse (green solid curve) has a Gaussian-shape envelope E 0 = e −(z/cτ ) 2 with ω 0 τ = 5.…”

Section: Modelmentioning

confidence: 99%

“…Actually, the independent parameter that determines the pulse peak amplitude becomes apparent when rewriting Eqs. (12) and (13) as…”

Section: Effects Of Finite Ionization Rate and Finite Pulse Duramentioning

confidence: 99%

“…We numerically solve Eqs. (12) and (13) with the parametersωτ /ω 2 0 = 0.5 (magenta) and = 1 (blue). The evolution of the peak amplitudes are displayed in Fig.…”

Section: Effects Of Finite Ionization Rate and Finite Pulse Duramentioning

confidence: 99%

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Laser frequency upconversion in plasmas with finite ionization rates

Fisch

2019

Physics of Plasmas

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Laser frequency can be upconverted in a plasma undergoing ionization. For finite ionization rates, the laser pulse energy is partitioned into a pair of counter-propagating waves and static transverse currents. The wave amplitudes are determined by the ionization rates and the input pulse duration. The strongest output waves can be obtained when the plasma is fully ionized in a time that is shorter than the pulse duration. The static transverse current can induce a static magnetic field with instant ionization, but it dissipates as heat if the ionization time is longer than a few laser periods. This picture comports with experimental data, providing a description of both laser frequency upconverters as well as other laser-plasma interaction with evolving plasma densities.

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Section: Modelmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

“…Actually, the independent parameter that determines the pulse peak amplitude becomes apparent when rewriting Eqs. (12) and (13) as…”

Section: Effects Of Finite Ionization Rate and Finite Pulse Duramentioning

confidence: 99%

“…We numerically solve Eqs. (12) and (13) with the parametersωτ /ω 2 0 = 0.5 (magenta) and = 1 (blue). The evolution of the peak amplitudes are displayed in Fig.…”

Section: Effects Of Finite Ionization Rate and Finite Pulse Duramentioning

confidence: 99%

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Laser frequency upconversion in plasmas with finite ionization rates

Fisch

2019

Physics of Plasmas

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“…That said, even in the latter case the OC formalism significantly simplifies the derivation of the corresponding E (n), as shown in Ref. [86].…”

Section: = 4πnementioning

confidence: 99%

On Variational Methods In the Physics of Plasma Waves

Dodin

2014

Fusion Science and Technology

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A first-principle variational approach to adiabatic collisionless plasma waves is described. The focus is made on one-dimensional electrostatic oscillations, including phase-mixed electron plasma waves (EPW) with trapped particles, such as Bernstein-Greene-Kruskal modes. The well known Whitham's theory is extended by an explicit calculation of the EPW Lagrangian, which is related to the oscillation-center energies of individual particles in a periodic field, and those are found by a quadrature. Some paradigmatic physics of EPW is discussed for illustration purposes.

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Geometric view on noneikonal waves

Dodin

2014

Physics Letters A

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An axiomatic theory of classical nondissipative waves is proposed that is constructed based on the definition of a wave as a multidimensional oscillator. Waves are represented as abstract vectors |ψ in the appropriately defined space Ψ with a Hermitian metric. The metric is usually positive-definite but can be more general in the presence of negative-energy waves (which are typically unstable and must not be confused with negative-frequency waves). The very form of wave equations is derived from properties of Ψ . The generic wave equation is shown to be a quantumlike Schrödinger equation; hence one-to-one correspondence with the mathematical framework of quantum mechanics is established, and the quantummechanical machinery becomes applicable to classical waves "as is". The classical wave action is defined as the density operator, |ψ ψ|. The coordinate and momentum spaces, not necessarily Euclidean, need not be postulated but rather emerge when applicable. Various kinetic equations flow as projections of the von Neumann equation for |ψ ψ|. The previously known action conservation theorems for noneikonal waves and the conventional Wigner-Weyl-Moyal formalism are generalized and subsumed under a unifying invariant theory. Whitham's equations are recovered as the corresponding fluid limit in the geometricaloptics approximation. The Liouville equation is also yielded as a special case, yet in a somewhat different limit; thus ray tracing, and especially nonlinear ray tracing, is found to be more subtle than commonly assumed. Applications of this axiomatization are also discussed, briefly, for some characteristic equations. PACS. 52.35.-g Waves, oscillations, and instabilities in plasmas and intense beams -03.50.Kk Other special classical field theories -45.20.Jj Lagrangian and Hamiltonian mechanics -02.40.Yy Geometric mechanics

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Damping of linear waves via ionization and recombination in homogeneous plasmas

Cited by 14 publications

References 61 publications

Laser frequency upconversion in plasmas with finite ionization rates

Laser frequency upconversion in plasmas with finite ionization rates

On Variational Methods In the Physics of Plasma Waves

Geometric view on noneikonal waves

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