Abstract
In article number 2000049 by Weijin Chen, Yuntian Chen, and Wei Liu, topological morphologies of electromagnetic multipoles of general complex vectorial forms are explored, and are portrayed through line fields with singularities of half-integer Hopf indices. With this topological insight, the hidden dimension of radiative circularly polarized Bloch modes is further unveiled, revealing their line singularity origins and establishing equivalences between their topological charges and multipolar Hopf indices.
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