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Topological Leading Angular Structure around Bound States in the Continuum
Abstract
We show that the angular structure of the leading radiation around a bound state in the continuum (BIC) directly encodes its topology. This angular information can be determined from the BIC itself and used to design prescribed topological polarization textures. As examples, we identify BICs carrying high topological charges q=4 and q=−5 in C6v photonic crystal slabs, addressing the question of whether high-charge BICs exist and how they can be systematically realized. We further show that zeros of the leading radiation can drive both topological transitions and the bifurcation of new BIC families. These findings may enable new approaches to polarization engineering in structured light and resonant photonics.
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BibTeX
@misc{zhang2026topological,
title = {{Topological Leading Angular Structure around Bound States in the Continuum}},
author = {Nan Zhang and Ya Yan Lu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.29074},
eprint = {2609.29074},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29074},
}
RIS
TY - UNPB
TI - Topological Leading Angular Structure around Bound States in the Continuum
AU - Nan Zhang
AU - Ya Yan Lu
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2609.29074
UR - https://arxiv.org/abs/2609.29074
AB - We show that the angular structure of the leading radiation around a bound state in the continuum (BIC) directly encodes its topology. This angular information can be determined from the BIC itself and used to design prescribed topological polarization textures. As examples, we identify BICs carrying high topological charges q=4 and q=−5 in C_6v photonic crystal slabs, addressing the question of whether high-charge BICs exist and how they can be systematically realized. We further show that zeros of the leading radiation can drive both topological transitions and the bifurcation of new BIC families. These findings may enable new approaches to polarization engineering in structured light and resonant photonics.
ER -