具有有限总能量和任意频率的波动方程的新的局部超光速解
New localized Superluminal solutions to the wave equations with finite total energies and arbitrary frequencies
摘要：
通过广义的双向分解方法，我们得到了许多新的超光速局部解的波动方程（电磁的情况下，特别是），适用于任意频带，其中各种被赋予有限的总能量。我们构建，除其他外，一个无限的家庭的广义的所谓的“X形”波。[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;双向分解;贝塞尔光束X形波;微波;光学;狭义相对论;声学;地震学;机械波弹性波;引力波基本粒子物理学]。
英文摘要：
By a generalized bidirectional decomposition method, we obtain many new Superluminal localized solutions to the wave equation (for the electromagnetic case, in particular) which are suitable for arbitrary frequency bands; various of them being endowed with finite total energy. We construct, among the others, an infinite family of generalizations of the so-called "X-shaped" waves. [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; Bidirectional decomposition; Bessel beams; X-shaped waves; Microwaves; Optics; Special relativity; Acoustics; Seismology; Mechanical waves; Elastic waves; Gravitational waves; Elementary particle physics].
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