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We present a detailed theoretical analysis of a peculiar generation of multiple bound states in the continuum
(BICs) in two-dimensional periodic arrays of dielectric spheres. They emerge in high-symmetry lattices with the C6v and C4v point groups and involve doubly degenerate quasiguided modes at the Gamma point that can couple to external radiation. By tuning a system parameter, the doubly degenerate modes can exhibit accidental BICs at a critical parameter. In the vicinity of the critical parameter, the two bands originating from the degenerate mode exhibit multiple off-Gamma BICs. They move and annihilate across the two bands by changing the parameter around the critical one. A ring-like high-Q channel pinned with multiple BICs emerges particularly for the C6v case. Across the critical coupling, the total vorticity of the multiple BICs is conserved. The k · p perturbation theory explains some features of the phenomena reasonably well.

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• In Copyright
  

Keyword: BIC, guasiguided modes, metasurfaces

Date published: 2024-08-02

Publisher: American Physical Society (APS)

Journal:

• Physical Review A (ISSN: 24699926) vol. 110 issue. 2 023504

Funding:

• Japan Society for the Promotion of Science 22K03488

Manuscript type: Author's version (Accepted manuscript)

MDR DOI: https://doi.org/10.48505/nims.4624

First published URL: https://doi.org/10.1103/physreva.110.023504

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Updated at: 2024-08-05 16:30:18 +0900

Published on MDR: 2024-08-05 16:30:18 +0900