Fundamental limitations of Huygens metasurfaces for optical beam shaping
Carlo Gigli, Qitong Li, Pierre Chavel, Giuseppe Leo, Mark Brongersma,, Philippe Lalanne

TL;DR
This paper analyzes the fundamental physical limitations of Huygens metasurfaces in optical beam shaping, highlighting their constraints due to reciprocity, mode operation, and symmetry, despite their manufacturing advantages.
Contribution
It provides a conceptual comparison between two phase modulation approaches in dielectric metasurfaces and identifies inherent limitations of Huygens metasurfaces based on fundamental physical principles.
Findings
Huygens metasurfaces face fundamental restrictions due to reciprocity.
Limitations arise from multimode and symmetry considerations.
These constraints impact the effectiveness of optical beam shaping.
Abstract
Optical dielectric metasurfaces composed of arrayed nanostructures are expected to enable arbitrary spatial control of incident wavefronts with subwavelength spatial resolution. For phase modulation, one often resorts to two physical effects to implement a 2\pi-phase excursion. The first effect relies on guidance by tall nanoscale pillars and the second one exploits resonant confinement by nanoresonators with two degenerate Mie-resonances. The first approach requires high aspect ratios, while the second one, known as Huygens metasurfaces, is much flatter, and thus easier to manufacture. We compare the two approaches, more focusing on conceptual rather than technological issues, and identify fundamental limitations with the latter. We explain the origin of the limitations based on general arguments, such as reciprocity, multimode/monomode operation and symmetry breaking.
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