波方程的局部解

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS Wave Motion Pub Date : 2024-10-19 DOI:10.1016/j.wavemoti.2024.103418

John Lekner

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引用次数: 0

摘要

介绍了波方程的一系列解法。最简单的波形代表次周期脉冲；此外还讨论了具有主波数的振荡脉冲。当应用于声波和电磁脉冲时，这些解具有足够的局部性，从而具有有限的能量、动量和角动量。脉冲的能量、动量和角动量可以简单地用波数权函数来表示。

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Localized solutions of the wave equation

A family of solutions of the wave equation is presented. The simplest waveforms represent sub-cycle pulses; oscillatory pulses with a dominant wavenumber are also discussed. These solutions are sufficiently localized to have finite energy, momentum, and angular momentum when applied to acoustic and electromagnetic pulses. The energy, momentum, and angular momentum of the pulses are simply expressed in terms of the wavenumber weight function.

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.