Abstract

We consider propagation of a quasi-harmonic electromagnetic wave in a bulk hyperbolic dielectric metamaterial. If the dispersion of group velocities is neglected, wave propagation in such a medium can be described either by a hyperbolic nonlinear Schrödinger equation or by hyperbolic Manakov equations. It is shown that the region in the space of wave vectors in which modulation instability of a spatially homogeneous wave is possible is not limited, in contrast to the case of ordinary media.

中文翻译：

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电磁波在非线性双曲介质中的传播

摘要

我们考虑准谐波电磁波在体双曲介电超材料中的传播。如果忽略群速度的色散，则可以通过双曲非线性薛定谔方程或双曲马纳科夫方程来描述这种介质中的波传播。结果表明，与普通介质的情况相比，波矢量空间中可能存在空间均匀波的调制不稳定性的区域不受限制。