Hybrid method of plane-wave and cylindrical-wave expansions for distributed Bragg-reflector pillars: formalism and its application to topological photonics

作     者：Ochiai, Tetsuyuki 

作者机构：NIMS Res Ctr Funct Mat Tsukuba Ibaraki 3050044 Japan 

出 版 物：《JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS》 (J Opt Soc Am B)

年 卷 期：2018年第35卷第11期

页      面：2642-2653页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

基　　金：Japan Society for the Promotion of Science (JSPS) [17K05507] Grants-in-Aid for Scientific Research [17K05507] Funding Source: KAKEN 

主　　题：Channeled waveguides Computation methods Fano resonance Mie theory Quantum optics Refractive index 

摘      要：A hybrid computational method of plane-wave and cylindrical-wave expansions for distributed Bragg-reflector (DBR) pillars is proposed. The plane-wave expansion is employed to represent the one-dimensional periodic structure of the DBR. The cylindrical-wave expansion is employed to describe the scattering by circular pillars with the DBR structure inside. This formalism enables us to calculate the radiation fields, t matrices, scattering cross sections, photonic band structures, and quality factors of the DBR pillars. Furthermore, optical properties of arrayed DBR pillars are also investigated with the aid of the multiple-scattering method. Using this formalism, we demonstrate explicitly that high Q photonic band modes including the so-called bound states in continuum are obtained both in isolated and arrayed DBR pillars. We also present a novel formation of gapless Dirac-cone surface states in a three-dimensional photonic crystal composed of a two-dimensional periodic arrangement of core-shell DBR pillars. (c) 2018 Optical Society of America.