Kundu M
Institute for Plasma Research, Bhat, Gandhinagar, Gujarat 382 428, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Apr;91(4):043102. doi: 10.1103/PhysRevE.91.043102. Epub 2015 Apr 6.
In a previous paper [M. Kundu, Phys. Plasmas 21, 013302 (2014)], fractional collisional absorption (α) of laser light in underdense plasma was studied by using a classical scattering model of electron-ion collision frequency ν(ei), where total velocity v=√[v(th)(2)+v(0)(2)] (with v(th) and v(0) as the thermal and the ponderomotive velocity of an electron) dependent Coulomb logarithm lnΛ(v) was shown to be responsible for the anomalous (unconventional) increase of ν(ei) and α(∝ν(ei)) with the laser intensity I(0) up to a maximum value about an intensity I(c) in the low temperature (T(e)<15eV) regime and a conventional ≈I(0)(-3/2) decrease when I(0)≫I(c). One may object that the anomalous increase in ν(ei) and α were partly due to the artifact introduced in lnΛ through the maximum cutoff distance b(max)∝v. In this work, we show similar anomalous increase in ν(ei) and α versus I(0) (in the low temperature and underdense density regime) with more accurate quantum and classical kinetic models of ν(ei) without using lnΛ, but with a proper choice of the total velocity dependent inverse cutoff length k(max)∝v(2) (classical) or k(max)∝v (quantum). For a given I(0)<5×10(14)Wcm(-2), ν(ei) versus T(e) also exhibits so far unnoticed identical anomalous increase as ν(ei) versus I(0), even if the conventional k(max)∝v(th)(2) or k(max)∝v(th) (without v(0)) is chosen. The total velocity dependent k(max) in the kinetic models, as proposed here, is found to explain the anomalous increase of α with I(0) measured in some earlier laser-plasma experiments.
在之前的一篇论文[M. 昆杜,《物理等离子体》21, 013302 (2014)]中,通过使用电子 - 离子碰撞频率ν(ei)的经典散射模型,研究了低密度等离子体中激光的分数碰撞吸收(α),其中总速度v = √[v(th)(2)+v(0)(2)](v(th)和v(0)分别为电子的热速度和有质动力速度)相关的库仑对数lnΛ(v)被证明是导致ν(ei)和α(∝ν(ei))随激光强度I(0)反常(非常规)增加直至在低温(T(e)<15eV)区域达到约强度I(c)时的最大值,以及当I(0)≫I(c)时常规的≈I(0)(-3/2)下降的原因。有人可能会反对说,ν(ei)和α的反常增加部分是由于通过最大截止距离b(max)∝v引入到lnΛ中的人为因素。在这项工作中,我们展示了在不使用lnΛ的情况下,通过更精确的ν(ei)量子和经典动力学模型,ν(ei)和α相对于I(0)(在低温和低密度区域)有类似的反常增加,但要适当选择总速度相关的逆截止长度k(max)∝v(2)(经典)或k(max)∝v(量子)。对于给定的I(0)<5×10(14)Wcm(-2),ν(ei)相对于T(e)也表现出迄今为止未被注意到的与ν(ei)相对于I(0)相同的反常增加,即使选择常规的k(max)∝v(th)(2)或k(max)∝v(th)(不包含v(0))。本文提出的动力学模型中总速度相关的k(max)被发现可以解释一些早期激光 - 等离子体实验中测量到的α随I(0)的反常增加。