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arXiv physics/0509227physics.optics
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非周期晶格中可控光子带和局域态的Fourier(k-)空间设计方法

A Fourier (k-) space design approach for controllable photonic band and localization states in aperiodic lattices

Subhasish Chakraborty, Michael C. Parker, Robert J. Mears

摘要:

本文系统地研究了利用非周期晶格实现光子带隙工程。到目前为止,人工智能往往是由特定的公式(如斐波那契,康托)定义的,理论忽略了其他有用的人工智能以及绝大多数无用的(随机)人工智能。在这里,我们提出了一个实用和有效的傅立叶空间为基础的一般理论,以确定所有这些AL具有有用的频带特性,其特征在于由定义良好的傅立叶(即晶格动量)组件。通过控制表征晶格的不同傅立叶分量之间的Parseval强度竞争来直接控制场局部化。AL的实空间优化往往需要计算。然而,通过我们的基于傅立叶空间的模拟退火逆优化算法,我们有效地定制了AL傅立叶分量的相对强度,用于精确控制光子带和本地化特性。

英文摘要:

In this paper we present a systematic study of photonic bandgap engineering using aperiodic lattices (ALs). Up to now ALs have tended to be defined by specific formulae (e.g. Fibonacci, Cantor), and theories have neglected other useful ALs along with the vast majority of non-useful (random) ALs. Here, we present a practical and efficient Fourier space-based general theory to identify all those ALs having useful band properties, which are characterized by well-defined Fourier (i.e. lattice momentum) components. Direct control of field localization comes via control of the Parseval strength competition between the different Fourier components characterizing a lattice. Real-space optimization of ALs tends to be computationally demanding. However, via our Fourier space-based simulated annealing inverse optimization algorithm, we efficiently tailor the relative strength of the AL Fourier components for precise control of photonic band and localization properties.

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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