论文标题
二维腔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
论文作者
论文摘要
预计真空表现出电磁非线性。我们通过计算两个经典的驻波的非线性校正来证明非线性电磁波在二维矩形腔中的特性。我们在短时间内应用线性近似。非线性校正的一部分随时间增加。特别是，如果腔大小满足特定条件，则一维第二谐波会增长。我们还分析了比线性近似的适用极限的时间尺度中的非线性电磁波。我们制定了振幅和相位的自调调制，包括静态磁通密度的效果。在驻波的两种模式之间的能量流的角度，非线性电磁波的行为可以分为三种类型。也就是说，能量保持振荡，最终降低到零，或者永远不会发生。
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.
