Freestanding dielectric nanohole array metasurface for mid-infrared wavelength applications.

We designed and simulated freestanding dielectric optical metasurfaces based on arrays of etched nanoholes in a silicon membrane. We showed 2π phase control and high forward transmission at mid-infrared (mid-IR) wavelengths around 4.2 μm by tuning the dimensions of the holes. We also identified the mechanisms responsible for high forward scattering efficiency and showed that these conditions are connected with the well-known Kerker conditions already proposed for isolated scatterers. A beam deflector was designed and optimized through sequential particle swarm and gradient descent optimization to maximize transmission efficiency and reduce unwanted grating orders. Such freestanding silicon nanohole array metasurfaces are promising for the realization of silicon-based mid-IR optical elements.

[1]  Zach DeVito,et al.  Opt , 2017 .

[2]  A. Kildishev,et al.  Planar Photonics with Metasurfaces , 2013, Science.

[3]  David Chapman,et al.  Widely tunable single-mode quantum cascade laser source for mid-infrared spectroscopy , 2007 .

[4]  Yuri S. Kivshar,et al.  High‐Efficiency Dielectric Huygens’ Surfaces , 2015 .

[5]  F. Lederer,et al.  A generalized Kerker condition for highly directive nanoantennas. , 2015, Optics letters.

[6]  Philippe Lalanne,et al.  Design and fabrication of blazed binary diffractive elements with sampling periods smaller than the structural cutoff , 1999 .

[7]  W. E. Kock,et al.  Metallic delay lenses , 1948, Bell Syst. Tech. J..

[8]  Y. Rahmat-Samii,et al.  Particle swarm optimization in electromagnetics , 2004, IEEE Transactions on Antennas and Propagation.

[9]  Steven G. Johnson,et al.  Robust topology optimization of three-dimensional photonic-crystal band-gap structures. , 2014, Optics express.

[10]  Erez Hasman,et al.  Dielectric gradient metasurface optical elements , 2014, Science.

[11]  Jacob Scheuer,et al.  Genetically optimized all-dielectric metasurfaces. , 2017, Optics express.

[12]  P. Chavel,et al.  Blazed binary subwavelength gratings with efficiencies larger than those of conventional échelette gratings. , 1998, Optics letters.

[13]  M W Farn,et al.  Binary gratings with increased efficiency. , 1992, Applied optics.

[14]  Chengkuo Lee,et al.  Development of Polycrystalline Silicon Based Photonic Crystal Membrane for Mid-Infrared Applications , 2014, IEEE Journal of Selected Topics in Quantum Electronics.

[15]  F Moreno,et al.  Magnetic and electric coherence in forward- and back-scattered electromagnetic waves by a single dielectric subwavelength sphere , 2012, Nature Communications.

[16]  R. Soref Mid-infrared photonics in silicon and germanium , 2010 .

[17]  C. Lee Giles,et al.  Electromagnetic scattering by magnetic spheres , 1983 .

[18]  P. Genevet,et al.  Recent advances in planar optics: from plasmonic to dielectric metasurfaces , 2017 .

[19]  Ye Feng Yu,et al.  High‐transmission dielectric metasurface with 2π phase control at visible wavelengths , 2015 .

[20]  K. Jeong,et al.  Subwavelength silicon through-hole arrays as an all-dielectric broadband terahertz gradient index metamaterial , 2014 .

[21]  J. Encinar,et al.  Reflectarray antennas , 2007, Developments in Antenna Analysis and Design: Volume 2.

[22]  Michael B. Sinclair,et al.  Tailoring dielectric resonator geometries for directional scattering and Huygens' metasurfaces. , 2015, Optics express.

[23]  D. Berry,et al.  The reflectarray antenna , 1963 .

[24]  N. Yu,et al.  Flat optics with designer metasurfaces. , 2014, Nature materials.

[25]  Boris N. Chichkov,et al.  Nonradiating anapole modes in dielectric nanoparticles , 2015, Nature Communications.

[26]  Andrey E. Miroshnichenko,et al.  Directional visible light scattering by silicon nanoparticles , 2012, Nature Communications.

[27]  C. Christodoulou,et al.  Linear array geometry synthesis with minimum sidelobe level and null control using particle swarm optimization , 2005, IEEE Transactions on Antennas and Propagation.

[28]  W Stork,et al.  Artificial distributed-index media fabricated by zero-order gratings. , 1991, Optics letters.

[29]  T. A. Metzler,et al.  Analysis of a reflectarray antenna using microstrip patches of variable size , 1993 .

[30]  T. Cui,et al.  Fast design of broadband terahertz diffusion metasurfaces. , 2017, Optics express.

[31]  N. Yu,et al.  Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction , 2011, Science.