title: Resonant metasurfaces at oblique incidence: interplay of order and disorder.
abstract: Understanding the impact of order and disorder is of fundamental importance to perceive and to appreciate the functionality of modern photonic metasurfaces. Metasurfaces with disordered and amorphous inner arrangements promise to mitigate problems that arise for their counterparts with strictly periodic lattices of elementary unit cells such as, e.g., spatial dispersion, and allows the use of fabrication techniques that are suitable for large scale and cheap fabrication of metasurfaces. In this study, we analytically, numerically and experimentally investigate metasurfaces with different lattice arrangements and uncover the influence of lattice disorder on their electromagnetic properties. The considered metasurfaces are composed of metal-dielectric-metal elements that sustain both electric and magnetic resonances. Emphasis is placed on understanding the effect of the transition of the lattice symmetry from a periodic to an amorphous state and on studying oblique illumination. For this scenario, we develop a powerful analytical model that yields, for the first time, an adequate description of the scattering properties of amorphous metasurfaces, paving the way for their integration into future applications.
authors.affiliation: Department of Radio Science and Engineering, Aalto University, 00076 Aalto, Finland.
authors.forename: M
authors.initials: M
authors.lastname: Albooyeh
authors.affiliation: Nonlinear Physics Centre, Centre for Ultrahigh-bandwidth Devices for Optical Systems (CUDOS), Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia.
authors.forename: S
authors.initials: S
authors.lastname: Kruk
authors.affiliation: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany.
authors.forename: C
authors.initials: C
authors.lastname: Menzel
authors.affiliation: 1] Nonlinear Physics Centre, Centre for Ultrahigh-bandwidth Devices for Optical Systems (CUDOS), Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia [2] Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany.
authors.forename: C
authors.initials: C
authors.lastname: Helgert
authors.affiliation: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany.
authors.forename: M
authors.initials: M
authors.lastname: Kroll
authors.affiliation: 1] Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany [2] Department of Metrology and Optoelectronics, Gdansk University of Technology, 80-952 Gdansk, Poland.
authors.forename: A
authors.initials: A
authors.lastname: Krysinski
authors.affiliation: Nonlinear Physics Centre, Centre for Ultrahigh-bandwidth Devices for Optical Systems (CUDOS), Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia.
authors.forename: M
authors.initials: M
authors.lastname: Decker
authors.affiliation: Nonlinear Physics Centre, Centre for Ultrahigh-bandwidth Devices for Optical Systems (CUDOS), Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia.
authors.forename: D N
authors.initials: DN
authors.lastname: Neshev
authors.affiliation: Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany.
authors.forename: T
authors.initials: T
authors.lastname: Pertsch
authors.affiliation: Institute of Condensed Matter Theory and Solid State Optics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany.
authors.forename: C
authors.initials: C
authors.lastname: Etrich
authors.affiliation: Institute of Condensed Matter Theory and Solid State Optics, Abbe Center of Photonics, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany.
authors.forename: C
authors.initials: C
authors.lastname: Rockstuhl
authors.affiliation: Department of Radio Science and Engineering, Aalto University, 00076 Aalto, Finland.
authors.forename: S A
authors.initials: SA
authors.lastname: Tretyakov
authors.affiliation: 1] Department of Radio Science and Engineering, Aalto University, 00076 Aalto, Finland [2] ITMO University, St. Petersburg 197101, Russia.
authors.forename: C R
authors.initials: CR
authors.lastname: Simovski
authors.affiliation: 1] Nonlinear Physics Centre, Centre for Ultrahigh-bandwidth Devices for Optical Systems (CUDOS), Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia [2] ITMO University, St. Petersburg 197101, Russia.
authors.forename: Yu S
authors.initials: YS
authors.lastname: Kivshar