Analytical theory of finite-size photonic crystal slabs near the band edge
Analytical theory of finite-size photonic crystal slabs near the band edge
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DOI：
10.1364/oe.455074
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发表时间：
2022-04-25
期刊：
影响因子：
3.8
通讯作者：
Peng, Chao
中科院分区：
文献类型：
--
作者：
Chen, Zihao;Yin, Xuefan;Peng, Chao
提出了有限尺寸光子晶片的三维解析耦合波理论(CWT)，用来描述位于连续带内外的带边上的离散模。具体地，我们推导了主导Bloch波的慢变包络函数的CWT方程。通过将体态基与适当的边界条件(B.C.)相结合的试解，我们解析地求解了方程，并分别讨论了有限尺寸模的远场模式、渐近行为和平带效应。该方法在物理上清楚地描述了有限尺寸模式的起源，并为设计和优化PCSEL等PHC器件提供了一种有效而全面的工具。(C)根据Optica开放获取出版协议条款的2022 Optica出版集团
An analytical three-dimensional (3D) coupled-wave theory (CWT) for the finite-size photonic crystal slabs (PhCs) has been presented to depict the discretized modes at band-edges residing inside and outside the continuum. Specifically, we derive the CWT equations of slow-varying envelop function of dominant Bloch waves. By combining the trial solutions that are composed of a basis of bulk states with appropriate boundary conditions (B.C.), we analytically solve the equations and discuss the far-field patterns, asymptotic behavior and flatband effect of the finite-size modes, respectively. The proposed method presents a clear picture in physics for the origins of finite-size modes and provides an efficient and comprehensive tool for designing and optimizing PhC devices such as PCSELs. (C) 2022 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement