arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1302.5835cond-mat.dis-nnphysics.optics
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具有无序免疫性的光子结构

Photonic structures with disorder immunity

E. Sadurni, J. A. Mendez-Bermudez

摘要:

已知周期性和无序介质具有不同的输运性质,无论是经典还是量子力学。这已经被表现为诸如无序系统中的安德森局域化和周期性情况下光子带隙的存在等效应。本文分析了具有角点的无序波导在甚低频下的输运性质,发现其谱、电导和波函数对无序是免疫的。我们的波导是由随机定向的直段和直角角连接而成。利用弯曲波导拐角处的俘获效应,我们可以证明紧束缚近似对任何程度的无序都能很好地描述系统。这提供了一组广泛的非周期性几何形状,保留了周期性介质的所有有趣的传输特性。

英文摘要:

Periodic and disordered media are known to possess different transport properties, either classically or quantum-mechanically. This has been exhibited by effects such as Anderson localization in systems with disorder and the existence of photonic bandgaps in the periodic case. In this paper we analyze the transport properties of disordered waveguides with corners at very low frequencies, finding that the spectrum, conductance and wavefunctions are immune to disorder. Our waveguides are constructed by means of randomly oriented straight segments and connected by corners at right angles. Taking advantage of a trapping effect that manifests in the corner of a bent waveguide, we can show that a tight-binding approximation describes the system reasonably well for any degree of disorder. This provides a wide set of non-periodic geometries that preserve all the interesting transport properties of periodic media.

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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