On the nonlocal properties of relativistic ponderomotive force
On the nonlocal properties of relativistic ponderomotive force
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DOI：
10.1063/1.4817745
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发表时间：
2013-08
影响因子：
2.2
通讯作者：
N. Iwata;Y. Kishimoto
中科院分区：
文献类型：
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作者：
N. Iwata;Y. Kishimoto
本文提出了一种横向局域激光场的相对论有质动力理论，它考虑了相应于展开参数λ/L的高阶项的非局域效应，即粒子漂移长度与场幅度梯度尺度长度之比，而现有的局域理论是一阶矩。作为一种方法，保持哈密顿结构的高阶，我们采用变分原理在非正则相空间坐标与李变换。通过寻找非正则坐标和规范，我们得到了一个新的有质动力公式，其中包括新的条款，在三阶表示的二阶和三阶空间导数。力不仅取决于局部场梯度，而且还取决于曲率及其变化，这代表了高阶非局部粒子运动的影响。高阶项被发现是受场结构的对称性…
A theory of relativistic ponderomotive force of transversely localized laser fields is presented by taking into account the nonlocal effects that correspond to higher order terms of the expansion parameter ϵ≡l/L, i.e., the ratio between particle excursion length and scale length of the field amplitude gradient, while the existing local theory is the first order of ϵ. As a method for preserving the Hamiltonian structure up to higher orders, we employ the variational principle in noncanonical phase space coordinates incorporated with the Lie transformation. By finding noncanonical coordinates and gauges, we obtain a new formula for the ponderomotive force that involves new terms in the third order represented by the second and third spatial derivatives. The force then depends not only on the local field gradient but also on the curvature and its variation which represent the effects of higher-order nonlocal particle motion. The higher-order terms are found to be subject to the symmetry of the field structur...