• Advanced Photonics
  • Vol. 5, Issue 4, 046001 (2023)
Karim Achouri*, Ville Tiukuvaara, and Olivier J. F. Martin
Author Affiliations
  • Institute of Electrical and Microengineering, École Polytechnique Fédérale de Lausanne, Nanophotonics and Metrology Laboratory, Lausanne, Switzerland
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    DOI: 10.1117/1.AP.5.4.046001 Cite this Article Set citation alerts
    Karim Achouri, Ville Tiukuvaara, Olivier J. F. Martin. Spatial symmetries in nonlocal multipolar metasurfaces[J]. Advanced Photonics, 2023, 5(4): 046001 Copy Citation Text show less
    Two different metasurface unit cells made of identical scattering particles arranged within (a) a square lattice and (b) a rectangular lattice.
    Fig. 1. Two different metasurface unit cells made of identical scattering particles arranged within (a) a square lattice and (b) a rectangular lattice.
    Cross-sectional view of a metasurface interacting with TE- and TM-polarized plane waves.
    Fig. 2. Cross-sectional view of a metasurface interacting with TE- and TM-polarized plane waves.
    (a) and (b) Metasurface unit cell composed of a T-shaped particle being illuminated by an obliquely incident plane wave. The metasurface lattice is a square.
    Fig. 3. (a) and (b) Metasurface unit cell composed of a T-shaped particle being illuminated by an obliquely incident plane wave. The metasurface lattice is a square.
    Representation of the symmetry-allowed multipolar components corresponding to the metasurface in Fig. 3.
    Fig. 4. Representation of the symmetry-allowed multipolar components corresponding to the metasurface in Fig. 3.
    Two metasurfaces composed of (a) planar L-shaped structures and (b) vertical L-shaped structures. In both cases, the structures have arms of equal length.
    Fig. 5. Two metasurfaces composed of (a) planar L-shaped structures and (b) vertical L-shaped structures. In both cases, the structures have arms of equal length.
    Symmetry-allowed material parameter tensors corresponding to the metasurface in (a) Fig. 5(a) and in (b) Fig. 5(b).
    Fig. 6. Symmetry-allowed material parameter tensors corresponding to the metasurface in (a) Fig. 5(a) and in (b) Fig. 5(b).
    Two metasurfaces composed of a periodic array of (a) square particles and (b) Gammadion particles.
    Fig. 7. Two metasurfaces composed of a periodic array of (a) square particles and (b) Gammadion particles.
    Symmetry-allowed material parameter tensors corresponding to the metasurface in (a) Fig. 7(a) and in (b) Fig. 7(b).
    Fig. 8. Symmetry-allowed material parameter tensors corresponding to the metasurface in (a) Fig. 7(a) and in (b) Fig. 7(b).
    Simulated spherical dipolar and quadrupolar components of an isolated gold Gammadion structure illuminated by an x-polarized z-propagating plane wave. The arms of the Gammadion structure have a cross section of 30 nm×30 nm, while the footprint of the structure is 150 nm×150 nm. The background medium is vacuum.
    Fig. 9. Simulated spherical dipolar and quadrupolar components of an isolated gold Gammadion structure illuminated by an x-polarized z-propagating plane wave. The arms of the Gammadion structure have a cross section of 30  nm×30  nm, while the footprint of the structure is 150  nm×150  nm. The background medium is vacuum.
    Jones matrix[a00a][a00d][abbd][abba][abbd][abcd]
    Polarization effectsNoneLP biref.LP biref. polarization conversion asymmetric transmissionCP biref.polarization rotationLP/CP biref.polarization conversionLP/CP biref. polarization conversion asymmetric transmission
    Table 1. Jones matrices and their effects on the polarization state.7577" target="_self" style="display: inline;">77,86a
    Karim Achouri, Ville Tiukuvaara, Olivier J. F. Martin. Spatial symmetries in nonlocal multipolar metasurfaces[J]. Advanced Photonics, 2023, 5(4): 046001
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