沿波导传播的麦克斯韦方程组的超光速局部解：有限能量情况
Superluminal Localized Solutions to Maxwell Equations propagating along a waveguide: The finite-energy case
摘要：
在我们以前的论文[Phys. Rev. E64（2001）066603，e-print physics/0001039]中，我们已经证明了麦克斯韦方程组的局部（非倏逝）解的存在，它以超光速沿着正常尺寸的波导无失真地传播，并且由“X形”光束组成。因此，这些解决方案具有无限的能量。在本说明中，我们将展示如何获得，相比之下，有限能量的解决方案，具有相同的本地化和Superluminality属性。[PACS编号：41.20.Jb; 03.50.De; 03.30.+ p; 84.40.Az; 42.82.Et.保留字：波导麦克斯韦方程组的定域解;超光速波;贝塞尔光束;有限色散光束;超光速能量波;电磁波; X形波;倏逝波;电磁学;微波;光学;狭义相对论;定域声波;地震波;机械波;弹性波;引导引力波。]
英文摘要：
In a previous paper of ours [Phys. Rev. E64 (2001) 066603, e-print physics/0001039] we have shown localized (non-evanescent) solutions to Maxwell equations to exist, which propagate without distortion with Superluminal speed along normal-sized waveguides, and consist in trains of "X-shaped" beams. Those solutions possessed therefore infinite energy. In this note we show how to obtain, by contrast, finite-energy solutions, with the same localization and Superluminality properties. [PACS nos.: 41.20.Jb; 03.50.De; 03.30.+p; 84.40.Az; 42.82.Et. Keywords: Wave-guides; Localized solutions to Maxwell equations; Superluminal waves; Bessel beams; Limited-dispersion beams; Finite-energy waves; Electromagnetic wavelets; X-shaped waves; Evanescent waves; Electromagnetism; Microwaves; Optics; Special relativity; Localized acoustic waves; Seismic waves; Mechanical waves; Elastic waves; Guided gravitational waves.]
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