X形超光速光束沿同轴波导的无畸变传输
Superluminal X-shaped beams propagating without distortion along a coaxial guide
摘要：
在以前的论文[Phys. Rev. E64（2001）066603; e-print physics/0001039]中，我们证明了麦克斯韦方程组的局部超光速解存在，它沿着金属圆柱形波导的区域向下传播（非倏逝）。在本文中，我们构建了类似的非色散波沿同轴电缆传播。这种新的解决方案，在一般情况下，包括列车（不失真）超光速“X形”脉冲。特别注意有限总能量的解决方案的建设。任何这类结果都可以应用于波动方程起重要作用的其他领域（如声学、物理学等）。[PACS编号：03.50.De; 41.20;Jb; 83.50.Vr; 62.30.+ d; 43.60 +. d、91.30.Fn、04.30.Nk、42.25.Bs、46.40.Cd、52.35.Lv.保留字：波动方程波的传播;局部波束超光速波;同轴电缆;双向分解;贝塞尔光束X形波;麦克斯韦方程组;微波;光学;狭义相对论;同轴金属波导声学;地震学;机械波弹性波;引导引力波。]
英文摘要：
In a previous paper [Phys. Rev. E64 (2001) 066603; e-print physics/0001039], we showed that localized Superluminal solutions to the Maxwell equations exist, which propagate down (non-evanescence) regions of a metallic cylindrical waveguide. In this paper we construct analogous non-dispersive waves propagating along coaxial cables. Such new solutions, in general, consist in trains of (undistorted) Superluminal "X-shaped" pulses. Particular attention is paid to the construction of finite total energy solutions. Any results of this kind may find application in the other fields in which an essential role is played by a wave-equation (like acoustics, geophysics, etc.). [PACS nos.: 03.50.De; 41.20;Jb; 83.50.Vr; 62.30.+d; 43.60.+d; 91.30.Fn; 04.30.Nk; 42.25.Bs; 46.40.Cd; 52.35.Lv. Keywords: Wave equations; Wave propagation; Localized beams; Superluminal waves; Coaxial cables; Bidirectional decomposition; Bessel beams; X-shaped waves; Maxwell equations; Microwaves; Optics; Special relativity; Coaxial metallic waveguides; Acoustics; Seismology; Mechanical waves; Elastic waves; Guided gravitational waves.]
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