“…, where j = e, p, C. Unless stated otherwise, the initial peak electron density is n e0 ∼ 15n cr , i.e., in the density regime of 10 22 cm −3 , where n cr = m e ω 2 /4πe 2 is the critical density, − e the electron charge, m e the electron mass, and ω the laser frequency. Such density distributions can be obtained by nanosecond laser ablation [25]. We shall consider carbon-to-proton density ratios R = n C0 /n p0 = 9, 1, 1/9 (cases 1 to 3, respectively), corresponding to n C0 /n cr = 2.5, 2.2, 1 and n p0 /n cr = 0.28, 2.2, 9, respectively, representing high to low carbon content of the target.…”