Numerical and analytical models to study the laser-driven plasma perturbation in a dielectric gas-filled capillary waveguide

Alessandro Curcio; Massimo Petrarca; Danilo Giulietti; Massimo Ferrario

doi:10.1364/OL.41.004233

Optics Letters
Vol. 41,
Issue 18,
pp. 4233-4236
(2016)
•https://doi.org/10.1364/OL.41.004233

Numerical and analytical models to study the laser-driven plasma perturbation in a dielectric gas-filled capillary waveguide

Alessandro Curcio, Massimo Petrarca, Danilo Giulietti, and Massimo Ferrario

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Alessandro Curcio, Massimo Petrarca, Danilo Giulietti, and Massimo Ferrario, "Numerical and analytical models to study the laser-driven plasma perturbation in a dielectric gas-filled capillary waveguide," Opt. Lett. 41, 4233-4236 (2016)

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Abstract

An alternative fast approach to study the propagation of an intense laser pulse through a dielectric capillary waveguide filled with plasma is presented. The numerical model computes the evolution of the capillary mode coupling coefficients and from these the properties of the laser and plasma response are retrieved. Moreover, an analytical description of the process is presented and compared to the numerical model.

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Normalized vector potential	$a_{n} (r, z, t) \sim a_{n 0} J_{0} (u_{n} r / R_{cap}) \exp [- k_{n}^{l} z + i (ω_{0} t - k_{z n} z) - {(z - v_{g, n} t)}^{2} / 2 c^{2} τ^{2}]$
Damping coefficient	$k_{n}^{l} = u_{n}^{2} (1 + ε_{r}) / 2 k_{z n}^{2} R_{cap}^{3} {(ε_{r} - 1)}^{1 / 2}$
Longitudinal wave number	$k_{z n} = {(k_{0}^{2} - u_{n}^{2} / R_{cap}^{2})}^{1 / 2}$
Transverse wave number	$k_{⊥ n} = u_{n} / R_{cap}$
Group velocity of mode $n$ th	$v_{g, n} = c {(1 - {(k_{⊥ n} / k_{0})}^{2})}^{1 / 2}$

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Optics Letters