Multipolar theory of bianisotropic response

Abstract

Bianisotropy of metaatoms is usually associated with their nonlocal response and the mutual coupling between electric and magnetic dipole moments induced by the incident field. In this work, we generalize the theory of bianisotropy beyond the dipole response to the cases of arbitrary high-order multipole resonances. We demonstrate that bianisotropy is exclusively caused by the absence of the inversion symmetry of metaatoms. The strength of the bianisotropy response is normally increased with the size of a meta-atom but its origin is fully connected to the symmetry of the structure. As an important example of bianisotropic particle, we consider a triangular prism and show how accounting for the higher-order multipoles prevents the violation of the Onsager-Casimir conditions for kinetic coefficients appearing in the dipole approximation. The developed theory is an important step towards a deeper insight into the scattering properties of nanoantennas and meta-atoms.

6 pages, 4 figures, Supplemental Materials

References in corpus (4)

• Resonant state expansion applied to three-dimensional open optical systems
• Direct amplitude-phase near-field observation of higher-order anapole states
• Bianisotropic route to the realization and matching of backward-wave metamaterial slabs
• Multipolar Origin of the Unexpected Transverse Force Resulting from Two-Wave Interference

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