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Electromagnetic Multipoles: Line Singularities and Hopf Indices of Electromagnetic Multipoles (Laser Photonics Rev. 14(7)/2020)
Author(s) -
Chen Weijin,
Chen Yuntian,
Liu Wei
Publication year - 2020
Publication title -
laser and photonics reviews
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.778
H-Index - 116
eISSN - 1863-8899
pISSN - 1863-8880
DOI - 10.1002/lpor.202070039
Subject(s) - gravitational singularity , physics , singularity , radiative transfer , line (geometry) , topology (electrical circuits) , dimension (graph theory) , electromagnetic field , quantum mechanics , theoretical physics , pure mathematics , mathematical analysis , geometry , mathematics , combinatorics
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.