论文标题

相对论的像差和无效的多普勒在超亮型和subluminal非屈光波的框架内

Relativistic aberration and null Doppler shift within the framework of superluminal and subluminal nondiffracting waves

论文作者

Saari, Peeter, Besieris, Ioannis M.

论文摘要

波形和相应的多普勒偏移的相对论畸变与超亮骨和跨膜时空局部定位的脉冲光波有关。表明无效多普勒偏移的要求产生了与双重(两步)洛伦兹转换的相对论速度组成定律相关的速度。这种转化的影响都根据四坐标和光谱结构域进行了研究。已经确定,跨膜脉冲会逆转其方向。除了方向变化外,静脉脉冲的传播项也会变为负。详细检查了由于双Lorentz转化而引起的畸变,以供繁殖不变的静光波(X Wave,Bessel X Wave),以及强度不变的超亮性和subluminal波浪。为超亮焦点X波和跨膜Mackinnon Wavepacket提供了详细的对称考虑因素。

The relativistic aberration of a wavevector and the corresponding Doppler shift are examined in connection with superluminal and subluminal spatiotemporally localized pulsed optical waves. The requirement of a null Doppler shift is shown to give rise to a speed associated with the relativistic velocity composition law of a double (two-step) Lorentz transformation. The effects of such a transformation are examined both in terms of four-coordinates and in the spectral domain. It is established that a subluminal pulse reverses its direction. In addition to a change in direction, the propagation term of a superluminal pulse becomes negative. The aberration due to a double Lorentz transformation is examined in detail for propagation invariant superluminal waves (X wave, Bessel X wave), as well as intensity-invariant superluminal and subluminal waves. Detailed symmetry considerations are provided for the superluminal focus X wave and the subluminal MacKinnon wavepacket.

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