Current Optics and Photonics

Optical Society of Korea (한국광학회)
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Characteristics of Interface States in One-dimensional Composite Photonic Structures

  • Zhang, Qingyue (College of Mathematics and Physics, Qingdao University of Science and Technology) ;
  • Mao, Weitao (College of Mathematics and Physics, Qingdao University of Science and Technology) ;
  • Zhao, Qiuling (College of Mathematics and Physics, Qingdao University of Science and Technology) ;
  • Wang, Maorong (College of Mathematics and Physics, Qingdao University of Science and Technology) ;
  • Wang, Xia (College of Mathematics and Physics, Qingdao University of Science and Technology) ;
  • Tam, Wing Yim (College of Mathematics and Physics, Qingdao University of Science and Technology)
  • Received : 2022.02.28
  • Accepted : 2022.04.04
  • Published : 2022.06.25
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Abstract

Based on the transfer-matrix method (TMM), we report the characteristics of the interface states in one-dimensional (1D) composite structures consisting of two photonic crystals (PCs) composed of binary dielectrics A and B, with unit-cell configurations ABA (PC I) and BAB (PC II). The dependence of the interface states on the number of unit cells N and the boundary factor x are displayed. It is verified that the interface states are independent of N when the PC has inversion symmetry (x = 0.5). Besides, the composite structures support the formation of interface states independent of the PC symmetry, except that the positions of the interface states will be varied within the photonic band gaps. Moreover, the robustness of the interface states against nonuniformities is investigated by adding Gaussian noise to the layer thickness. In the case of inversion symmetry (x = 0.5) the most robust interface states are achieved, while for the other cases (x ≠ 0.5) interface states decay linearly with position inside the band gap. This work could shed light on the development of robust photonic devices.

Keywords

Acknowledgement

National Natural Science Foundation of China (grant numbers: 11874232, 12174211, 61905127); Hong Kong RGC grants (grant numbers: AoE P-02/12, C6013-18G).

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