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arXiv 1503.08986physics.opticsnlin.CDquant-ph
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非厄米特势中的等强度波及其调制不稳定性

Constant-intensity waves and their modulation instability in non-Hermitian potentials

Konstantinos G. Makris, Ziad H. Musslimani, Demetrios N. Christodoulides, Stefan Rotter

摘要:

在所有波起重要作用的科学领域中,相应的波动方程的最基本解之一是具有恒定强度的驻波。最熟悉的例子是平面波在自由空间中传播的例子。然而,在任何厄米特势存在的情况下,波的恒定强度由于散射而立即被破坏。在这里,我们表明,这一基本限制是方便地解除时,与非厄米特潜力。特别是,我们提出了一个全新的类波,具有恒定的强度存在的线性以及非线性非均匀介质的增益和损失。这些解决方案使我们能够研究,第一次,在非均匀环境中的调制不稳定性的基本现象。我们的结果对最近提出的非厄米散射实验提出了新的挑战。

英文摘要:

In all of the diverse areas of science where waves play an important role, one of the most fundamental solutions of the corresponding wave equation is a stationary wave with constant intensity. The most familiar example is that of a plane wave propagating in free space. In the presence of any Hermitian potential, a wave's constant intensity is, however, immediately destroyed due to scattering. Here we show that this fundamental restriction is conveniently lifted when working with non-Hermitian potentials. In particular, we present a whole new class of waves that have constant intensity in the presence of linear as well as of nonlinear inhomogeneous media with gain and loss. These solutions allow us to study, for the first time, the fundamental phenomenon of modulation instability in an inhomogeneous environment. Our results pose a new challenge for the experiments on non-Hermitian scattering that have recently been put forward.

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。

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