arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2202.01476physics.optics
收藏

二维腔体中非线性电磁波的长时间自调制

Long time self-modulation of nonlinear electromagnetic wave in two-dimensional cavity

Kazunori Shibata

摘要:

真空被期望表现出电磁非线性。通过计算两个经典驻波的非线性修正,证明了二维矩形腔中非线性电磁波的性质。我们在短时间尺度上应用线性近似。非线性校正的一部分随时间增加。特别地,如果腔尺寸满足特定条件,则一维二次谐波增长。我们还分析了非线性电磁波的时间尺度长于适用的限制的线性近似。我们建立了自调制的振幅和相位,包括静态磁通量密度的影响。从驻波的两种模式之间的能量流动的观点出发,非线性电磁波的行为可以分为三种类型。也就是说,能量流保持振荡,最终减少到零,或者永远不会发生。

英文摘要:

The vacuum is expected to exhibit electromagnetic nonlinearity. We demonstrate the properties of nonlinear electromagnetic wave in a two-dimensional rectangular cavity by calculating the nonlinear correction for two classical standing waves. We apply the linear approximation in a short timescale. A part of the nonlinear correction increases with time. In particular, a one-dimensional second harmonic grows if the cavity size satisfies a specific condition. We also analyze the nonlinear electromagnetic wave in a timescale longer than the applicable limit of the linear approximation. We formulate the self-modulation of the amplitude and phase, including the effect of static magnetic flux density. In the viewpoint of energy flow between the two modes of the standing wave, the behavior of nonlinear electromagnetic wave can be classified into three types. Namely, the energy flow keeps oscillating, eventually decreases to zero, or never occurs.

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。

↑