Extremize Optical Chiralities through Polarization Singularities

Abstract

Chiral optical effects are generally quantified along some specific incident directions of exciting waves (especially for extrinsic chiralities of achiral structures) or defined as direction-independent properties by averaging the responses among all structure orientations. Though of great significance for various applications, chirality extremization (maximized or minimized) with respect to incident directions or structure orientations have not been explored, especially in a systematic manner. In this study we examine the chiral responses of open photonic structures from perspectives of quasi-normal modes and polarization singularities of their far-field radiations. The nontrivial topology of the momentum sphere secures the existence of singularity directions along which mode radiations are either circularly or linearly polarized. When plane waves are incident along those directions, the reciprocity ensures ideal maximization and minimization of optical chiralities, for corresponding mode radiations of circular and linear polarizations respectively. For directions of general elliptical polarizations, we have unveiled the subtle equality of a Stokes parameter and the circular dichroism, showing that an intrinsically chiral structure can unexpectedly exhibit no chirality at all or even chiralities of opposite handedness for different incident directions. The framework we establish can be applied to not only finite scattering bodies but also infinite periodic structures, encompassing both intrinsic and extrinsic optical chiralities. We have effectively merged two vibrant disciplines of chiral and singular optics, which can potentially trigger more optical chirality-singularity related interdisciplinary studies.

arXiv commentSeveral mislabellings in v1 are corrected, with Supplemental Material also included

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• Planar chiral metasurfaces with maximal tunable chiroptical response driven by bound states in the continuum
• Applications of Bound States in the Continuum in Photonics
• Janus Bound States in the Continuum with Asymmetric Topological Charges
• When does nonlinear circular dichroism appear in achiral dielectric nanoparticles?
• Chiral discrimination by polarization singularities of a metal sphere
• Optical force and torque on small particles induced by polarization singularities
• Efficient and accurate numerical-projection of electromagnetic multipoles for scattering objects