Relativistic similarity parameter

In relativistic laser-plasma physics the relativistic similarity parameter S is a dimensionless parameter defined as S = n e a 0 n c r {\displaystyle S={\frac {n_{e}}{a_{0}n_{cr}}}} , where n e {\displaystyle {n_{e}}} is the electron plasma density, n c r = ϵ 0 m e ω 0 2 / e 2 {\displaystyle {n_{cr}=\epsilon _{0}m_{e}\omega _{0}^{2}/e^{2}}} is the critical plasma density and a 0 = e A / ( m e c ) {\displaystyle {a_{0}=eA/(m_{e}c)}} is the normalized vector potential. Here m e {\displaystyle {m_{e}}} is the electron mass, e {\displaystyle {e}} is the electron charge, c {\displaystyle {c}} is the speed of light, ϵ 0 {\displaystyle {\epsilon _{0}}} the electric vacuum permittivity and ω 0 {\displaystyle {\omega _{0}}} is the laser frequency.

Source: Wikipedia — Relativistic similarity parameter (CC BY-SA 4.0)

Relativistic similarity parameter

In relativistic laser-plasma physics the relativistic similarity parameter S is a dimensionless parameter defined as S = n e a 0 n c r {\displaystyle S={\frac {n_{e}}{a_{0}n_{cr}}}} , where n e {\displaystyle {n_{e}}} is the electron plasma density, n c r = ϵ 0 m e ω 0 2 / e 2 {\displaystyle {n_{cr}=\epsilon _{0}m_{e}\omega _{0}^{2}/e^{2}}} is the critical plasma density and a 0 = e A / ( m e c ) {\displaystyle {a_{0}=eA/(m_{e}c)}} is the normalized vector potential. Here m e {\displaystyle {m_{e}}} is the electron mass, e {\displaystyle {e}} is the electron charge, c {\displaystyle {c}} is the speed of light, ϵ 0 {\displaystyle {\epsilon _{0}}} the electric vacuum permittivity and ω 0 {\displaystyle {\omega _{0}}} is the laser frequency.

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Source: Wikipedia "Relativistic similarity parameter" · CC BY-SA 4.0

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