Borisov A B, Longworth J W, Boyer K, Rhodes C K
Department of Physics (M/C 273), University of Illinois, 845 West Taylor Street, Chicago, IL 60607-7059, USA.
Proc Natl Acad Sci U S A. 1998 Jul 7;95(14):7854-9. doi: 10.1073/pnas.95.14.7854.
Robust stability is a chief characteristic of relativistic/charge-displacement self-channeling. Theoretical analysis of the dynamics of this stability (i) reveals a leading role for the eigenmodes in the development of stable channels, (ii) suggests a technique using a simple longitudinal gradient in the electron density to extend the zone of stability into the high electron density/high power density regime, (iii) indicates that a situation approaching unconditional stability can be achieved, (iv) demonstrates the efficacy of the stable dynamics in trapping severely perturbed beams in single uniform channels, and (v) predicts that approximately 10(4) critical powers can be trapped in a single stable channel. The scaling of the maximum power density with the propagating wavelength lambda is shown to be proportional to lambda-4 for a given propagating power and a fixed ratio of the electron plasma density to the critical plasma density. An estimate of the maximum power density that can be achieved in these channels with a power of approximately 2 TW at a UV (248 nm) wavelength gives a value of approximately 10(21) W/cm3 with a corresponding atomic specific magnitude of approximately 60 W/atom. The characteristic intensity propagating in the channel under these conditions exceeds 10(21) W/cm2.
稳健稳定性是相对论性/电荷位移自通道化的一个主要特征。对这种稳定性动力学的理论分析表明：（i）本征模在稳定通道的形成过程中起主导作用；（ii）提出了一种利用电子密度中的简单纵向梯度将稳定区域扩展到高电子密度/高功率密度 regime 的技术；（iii）表明可以实现接近无条件稳定的情况；（iv）证明了稳定动力学在将严重扰动的束流捕获到单个均匀通道中的有效性；（v）预测单个稳定通道中可以捕获大约 10⁴ 个临界功率。对于给定的传播功率以及电子等离子体密度与临界等离子体密度的固定比值，最大功率密度随传播波长 λ 的标度显示与 λ⁻⁴ 成正比。在紫外（248 nm）波长下，对于功率约为 2 TW 的情况，对这些通道中可实现的最大功率密度的估计给出的值约为 10²¹ W/cm³，相应的原子比强度约为 60 W/原子。在这些条件下在通道中传播的特征强度超过 10²¹ W/cm²。
