狄拉克-德尔塔畸形波
The Dirac-Delta Rogue Wave
AI总结：
本文提出线性波动方程的双重时空局域狄拉克-德尔塔解，证明所需时变频率函数由介质色散关系唯一确定，并给出数值与解析解。
摘要：
本文提出了线性波动方程的一个双重时空局域化的狄拉克-德尔塔解。该解源于频率随发射时间变化的简谐波之间的干涉。研究表明，产生局域化狄拉克-德尔塔波所需的时变频率函数完全由波在其中传播的介质的色散关系决定。针对一个典型物理场景，获得了数值解和精确解析解并予以展示。讨论了该结果在可能实际应用中的用途。
英文摘要：
This paper presents a double spatio-temporal localized Dirac-delta solution for the linear wave equation. The solution arises from the interference of sinusoidal waves with frequencies that vary as a function of the time of emission. It is shown that the time-dependent frequency function required to produce a localized Dirac-delta wave is exclusively determined by the dispersion relation of the medium in which the wave is traveling. Both numerical and exact analytical solutions for a typical physical scenario are obtained and displayed. The application of this result to possible practical uses is discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
