Substrate aberration and correction for meta-lens imaging: an analytical approach.

Meta-lenses based on flat optics enabled a fundamental shift in lens production-providing an easier manufacturing process with an increase in lens profile precision and a reduction in size and weight. Here we present an analytical approach to correct spherical aberrations caused by light propagation through the substrate by adding a substrate-corrected phase profile, which differs from the original hyperbolic one. A meta-lens encoding the new phase profile would yield diffraction-limited focusing and an increase of up to 0.3 of its numerical aperture without changing the radius or focal length. In tightly focused laser spot applications such as direct laser lithography and laser printing, a substrate-corrected meta-lens can reduce the spatial footprint of the meta-lens.

[1]  Federico Capasso,et al.  Immersion Meta-Lenses at Visible Wavelengths for Nanoscale Imaging. , 2017, Nano letters.

[2]  G E Sommargren,et al.  Harmonic diffractive lenses. , 1995, Applied optics.

[3]  G. M. Morris,et al.  Spectral properties of multiorder diffractive lenses. , 1995, Applied optics.

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

[5]  Benedikt Groever.  Matlab code for virtual focal length , 2018 .

[6]  Jian-Wen Dong,et al.  High-speed full analytical holographic computations for true-life scenes. , 2010, Optics express.

[7]  Federico Capasso,et al.  Aberrations of flat lenses and aplanatic metasurfaces. , 2013, Optics express.

[8]  Wei Ting Chen,et al.  Achromatic metalens over 60 nm bandwidth in the visible , 2017, 2017 Conference on Lasers and Electro-Optics (CLEO).

[9]  Federico Capasso,et al.  Achromatic Metasurface Lens at Telecommunication Wavelengths. , 2015, Nano letters.

[10]  Chih-Ming Wang,et al.  High-efficiency broadband anomalous reflection by gradient meta-surfaces. , 2012, Nano letters.

[11]  Herbert Gross,et al.  Aberration theory and correction of optical systems , 2007 .

[12]  Z. Jacob,et al.  Topological Transitions in Metamaterials , 2011, Science.

[13]  Florian Bociort.  Optical System Optimization , 2003 .

[14]  Federico Capasso,et al.  Meta-Lens Doublet in the Visible Region. , 2017, Nano letters.

[15]  G. Swanson.  Binary Optics Technology: The Theory and Design of Multi-Level Diffractive Optical Elements , 1989 .

[16]  Margaret B. Stern,et al.  Binary optics: A VLSI-based microoptics technology , 1996 .

[17]  J. Maxwell.  A History of the Photographic Lens , 1991 .

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

[19]  R. Blanchard,et al.  Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces. , 2012, Nano letters.

[20]  Michael W Davidson,et al.  Basic principles of microscope objectives. , 2002, BioTechniques.

[21]  Wei Ting Chen,et al.  Super-Dispersive Off-Axis Meta-Lenses for Compact High Resolution Spectroscopy. , 2016, Nano letters.

[22]  N. George,et al.  Hybrid diffractive-refractive lenses and achromats. , 1988, Applied optics.

[23]  P. Genevet,et al.  Multiwavelength achromatic metasurfaces by dispersive phase compensation , 2014, Science.

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

[25]  Y. Soskind.  Field Guide to Diffractive Optics , 2011 .

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

[27]  D. Tsai,et al.  Broadband achromatic optical metasurface devices , 2017, Nature Communications.

[28]  P. Meyrueis,et al.  Applied Digital Optics , 2009 .

[29]  Silvio A. Bedini.  Lens making for scientific instrumentation in the seventeenth century. , 1966, Applied optics.

[30]  Chih-Ming Wang,et al.  Aluminum plasmonic multicolor meta-hologram. , 2015, Nano letters.

[32]  Shulin Sun,et al.  Gradient-index meta-surfaces as a bridge linking propagating waves and surface waves. , 2012, Nature materials.

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

[34]  Jennifer Urner,et al.  Applied Digital Optics From Micro Optics To Nanophotonics , 2016 .

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

[36]  Shinji Okazaki,et al.  Pushing the limits of lithography , 2000, Nature.