Theoretical and computational concepts for periodic optical waveguides
Theoretical and computational concepts for periodic optical waveguides
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DOI：
10.1364/oe.15.011042
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发表时间：
2007-09-03
期刊：
影响因子：
3.8
通讯作者：
Lalanne, P.
中科院分区：
文献类型：
--
作者：
Lecamp, G.;Hugonin, J. P.;Lalanne, P.
我们提出了一种通用的、严格的模式公式，用于模拟光在三维(3D)周期波导及其聚集体中的传输和光发射。本质上，这种形式是将众所周知的平移不变波导的模式概念推广到包括周期波导堆叠的情况。通过在横向上用完全匹配层(PML)包围实际堆栈，互易性考虑导致了E×H乘积意义下的Bloch模正交关系的推导，这些模的归一化，并证明了连接Bloch模的散射矩阵的对称性。严格考虑了由辐射Bloch模激发引起的辐射损失的一般形式，用傅立叶数值方法实现。精确求解了周期光波导中光散射的反射、传输和发射等基本问题。(C)2007年美国光学学会。
We present a general, rigorous, modal formalism for modeling light propagation and light emission in three-dimensional (3D) periodic waveguides and in aggregates of them. In essence, the formalism is a generalization of well-known modal concepts for translation-invariant waveguides to situations involving stacks of periodic waveguides. By surrounding the actual stack by perfectly-matched layers (PMLs) in the transverse directions, reciprocity considerations lead to the derivation of Bloch-mode orthogonality relations in the sense of E x H products, to the normalization of these modes, and to the proof of the symmetrical property of the scattering matrix linking the Bloch modes. The general formalism, which rigorously takes into account radiation losses resulting from the excitation of radiation Bloch modes, is implemented with a Fourier numerical approach. Basic examples of light scattering like reflection, transmission and emission in periodic-waveguides are accurately resolved. (c) 2007 Optical Society of America.