色散介质中加速界面的时空透镜效应
Space-Time Lensing by Accelerated Interfaces in Dispersive Media
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中文总结 AI 辅助
研究色散介质中加速界面的时空透镜效应，通过逆设计程序实现准单色和多色脉冲聚焦，其时间反转可准直宽带脉冲，级联操作能抑制色散，全波模拟验证了相关效应。
中文摘要 AI 辅助
我们展示了色散介质中由合成加速界面产生的时空透镜效应。频率依赖的群速度将脉冲的频谱成分映射到纵向时空平面上不同的轨迹，而加速界面通过随时间变化的多普勒频移重塑其频率。我们为界面轨迹开发了一种逆设计程序，可将准单色波包聚焦到规定的时空事件上，适用于任意色散关系，然后扩展到多色脉冲。其时间反转形式可将宽带脉冲准直为窄带波。此外，级联正向和反向操作使宽带脉冲能在色散通道中以频谱压缩状态传播，然后重新聚焦。全波模拟验证了聚焦结构并展示了色散抑制。
英文摘要
We present space-time lensing by synthetic accelerated interfaces in dispersive media. Frequency-dependent group velocities map spectral components of a pulse onto distinct trajectories in the longitudinal space-time plane, while an accelerated interface reshapes their frequencies through time-dependent Doppler shifts. We develop an inverse-design procedure for the interface trajectory that focuses a quasi-monochromatic wave packet at a prescribed space-time event for an arbitrary dispersion relation, then extend the construction to polychromatic pulses. In its time-reversed form, the operation collimates a broadband pulse into a narrow-band wave. Moreover, cascading the forward and reverse operations enables a broadband pulse to propagate through an otherwise dispersive channel in a spectrally compressed state before being refocused. Full-wave simulations validate the focusing construction and demonstrate dispersion suppression.
