Analysis of the focusing crosstalk effects of broadband all-dielectric planar metasurface microlens arrays for ultra-compact optical device applications

Microlens arrays have been widely used for different optoelectronic applications. The demand for compact optical devices necessitates the deployment of even smaller microlens arrays; however, as the spacing between individual lenses reduces and the lens diameter approaches the length scale of the incident wavelength of light, diffraction starts playing a critical role and produces a significant impact on the final focusing properties of the optical field. In this paper, we analyze the focusing characteristics of all-dielectric ultra-compact metasurface lens arrays for efficient optical device applications, constructed by kinds of broadband planar lenses composed of subwavelength nano-scatterers. By using the 3D finite-difference time-domain (FDTD) method, focusing and diffraction-based crosstalk effects caused by the changing physical spacing between adjacent metalenses, the diameter of microlenses, the operating wavelength, and the array size are rigorously investigated. Analysis of the achieved results show that a larger spacing, a larger lens size, and a shorter wavelength can lead to a weaker focusing crosstalk effect. Moreover, the crosstalk effect does not have a significant dependence on the array’s overall size. This research study may provide an important technological reference to designing an array of all-dielectric planar metasurface lenses with a well-controlled focusing performance and may pave the way further toward the application of metasurface lens arrays in compact optical sensing, coupling, and detecting system designs.

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

[2]  Olle Inganäs,et al.  Trapping light with micro lenses in thin film organic photovoltaic cells. , 2008, Optics express.

[3]  A. Arbabi,et al.  Subwavelength-thick lenses with high numerical apertures and large efficiency based on high-contrast transmitarrays , 2014, Nature Communications.

[4]  W. T. Chen,et al.  Metalenses at visible wavelengths: Diffraction-limited focusing and subwavelength resolution imaging , 2016, Science.

[5]  Andrei Faraon,et al.  High efficiency double-wavelength dielectric metasurface lenses with dichroic birefringent meta-atoms. , 2016, Optics express.

[6]  Frank Wippermann,et al.  Beam homogenizers based on chirped microlens arrays. , 2007, Optics express.

[7]  Din Ping Tsai,et al.  GaN Metalens for Pixel-Level Full-Color Routing at Visible Light. , 2017, Nano letters.

[8]  Y. Kivshar,et al.  Invited article: Broadband highly-efficient dielectric metadevices for polarization control , 2016 .

[9]  Lei Wang,et al.  Efficient Polarization-Insensitive Complex Wavefront Control Using Huygens’ Metasurfaces Based on Dielectric Resonant Meta-atoms , 2016, 1602.00755.

[10]  Andrei Faraon,et al.  Efficient dielectric metasurface collimating lenses for mid-infrared quantum cascade lasers. , 2015, Optics express.

[11]  C. Pfeiffer,et al.  Generating stable tractor beams with dielectric metasurfaces , 2015 .

[12]  Andrei Faraon,et al.  Miniature optical planar camera based on a wide-angle metasurface doublet corrected for monochromatic aberrations , 2016, Nature Communications.

[13]  Wei Ting Chen,et al.  Polarization-Insensitive Metalenses at Visible Wavelengths. , 2016, Nano letters.

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

[15]  Erez Hasman,et al.  Polarization dependent focusing lens by use of quantized Pancharatnam–Berry phase diffractive optics , 2003 .

[16]  I. Staude,et al.  Metamaterial-inspired silicon nanophotonics , 2017, Nature Photonics.

[17]  T. Kim,et al.  Outcoupling efficiency of organic light‐emitting diodes depending on the fill factor and size of the microlens array , 2014 .

[18]  Yuri S. Kivshar,et al.  Grayscale transparent metasurface holograms , 2016 .

[19]  Yuzuru Takashima,et al.  Polarization independent high transmission large numerical aperture laser beam focusing and deflection by dielectric Huygens’ metasurfaces , 2017 .

[20]  Yijie Huo,et al.  Optical confinement methods for continued scaling of CMOS image sensor pixels. , 2008, Optics express.

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

[22]  G. Jellison,et al.  Parameterization of the optical functions of amorphous materials in the interband region , 1996 .

[23]  Bo Han Chen,et al.  A broadband achromatic metalens in the visible , 2018, Nature Nanotechnology.

[24]  F. Capasso,et al.  High efficiency dielectric metasurfaces at visible wavelengths , 2016, 1603.02735.

[25]  I. Brener,et al.  Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks. , 2013, ACS nano.

[26]  A. Arbabi,et al.  Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission. , 2014, Nature nanotechnology.

[27]  Frank Wippermann,et al.  Integrated free-space optical interconnect fabricated in planar optics using chirped microlens arrays. , 2006, Optics express.

[28]  Yijie Huo,et al.  Microlens performance limits in sub-2mum pixel CMOS image sensors. , 2010, Optics express.

[29]  Federico Capasso,et al.  Metasurface Polarization Optics: Independent Phase Control of Arbitrary Orthogonal States of Polarization. , 2017, Physical review letters.

[30]  Federico Capasso,et al.  Broadband high-efficiency dielectric metasurfaces for the visible spectrum , 2016, Proceedings of the National Academy of Sciences.

[31]  A. Grbic,et al.  Analysis and synthesis of cascaded metasurfaces using wave matrices , 2017 .

[32]  Yiting Yu,et al.  Broadband Metallic Planar Microlenses in an Array: the Focusing Coupling Effect , 2016, Nanoscale Research Letters.

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

[34]  Arka Majumdar,et al.  Low contrast dielectric metasurface optics , 2016, 2016 Conference on Lasers and Electro-Optics (CLEO).

[35]  Arnan Mitchell,et al.  Dielectric resonator nanoantennas at visible frequencies. , 2013, Optics express.

[36]  Thierry Camps,et al.  VCSEL collimation using self-aligned integrated polymer microlenses , 2008, SPIE Photonics Europe.

[37]  F. Capasso,et al.  Multispectral Chiral Imaging with a Metalens. , 2016, Nano letters.

[38]  B. Luk’yanchuk,et al.  Optically resonant dielectric nanostructures , 2016, Science.

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

[40]  A. Miroshnichenko All-dielectric optical nanoantennas , 2012, 2015 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting.

[41]  Igal Brener,et al.  Polarization-Independent Silicon Metadevices for Efficient Optical Wavefront Control. , 2015, Nano letters.

[42]  Z. Jacob,et al.  All-dielectric metamaterials. , 2016, Nature nanotechnology.

[43]  Hoang Yan Lin,et al.  Efficiency improvement and spectral shift of an organic light-emitting device by attaching a hexagon-based microlens array , 2008 .

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

[45]  Wei Wang,et al.  Study of focal shift effect in planar GaN high contrast grating lenses. , 2015, Optics express.

[46]  I. Brener,et al.  High-efficiency light-wave control with all-dielectric optical Huygens' metasurfaces , 2014, 1405.5038.