Abstract
In this paper, we show how plasma discharge capillaries can be numerically modeled as resistors within an RLC-series discharge circuit, allowing for a simple description of these systems, while taking into account heat and radiation losses. An analytic radial model is also provided and compared to the numerical model for plasma discharge capillaries at thermal equilibrium, with corrections due to radiation losses. Finally, diagnostic techniques based on visible spectroscopy of plasma emission lines are discussed both for atomic and molecular gases, comparing experimental results with numerical simulations and theoretical calculations.
Highlights
Experiments on laser wakefield acceleration (LWFA) [1], plasma wakefield acceleration (PWFA) [2], and plasma lensing [3,4,5,6,7] have recently undergone a great deal of development
Our description is not able to give local values of the plasma current density, of the associated magnetic field [14], and of the plasma density, but it can efficiently take into account the plasma heating, the heating of the capillary walls, i.e., the heat flux moving from the plasma to the walls of its container, and all the radiative losses due to bremsstrahlung radiation (BR) and the radiative recombination (RR)
We propose an analytic model for the study of plasma discharge capillaries at thermal equilibrium, stressing the relevance of the radiation losses to the transverse profile of the plasma temperature and all the related quantities
Summary
Experiments on laser wakefield acceleration (LWFA) [1], plasma wakefield acceleration (PWFA) [2], and plasma lensing [3,4,5,6,7] have recently undergone a great deal of development. Our description is not able to give local values of the plasma current density, of the associated magnetic field [14], and of the plasma density, but it can efficiently take into account the plasma heating, the heating of the capillary walls, i.e., the heat flux moving from the plasma to the walls of its container, and all the radiative losses due to bremsstrahlung radiation (BR) and the radiative recombination (RR) In this sense, the presented macroscopic model consists in an improvement of a preexisting one [15,16], where many of these physical mechanisms were not included.
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