3D‐Printed High Dielectric Contrast Gradient Index Flat Lens for a Directive Antenna with Reduced Dimensions

Gradient refractive index (GRIN) materials are of interest for various applications where transformation optic principles can be applied to the design of improved photonic and microwave devices. GRIN materials comprise spatially varying electric and/or magnetic properties that challenge conventional manufacturing processes. In this work, the design, fabrication, characterization, and performance measurement of a 3D-printed GRIN lens are presented. Using the fused deposition modeling 3D printing process with a bespoke filament material possessing high dielectric permittivity, a refractive index contrast of ∆n = 1.4 across a GRIN lens at Ku-band microwave frequencies is achieved. When the GRIN lens is combined with an open aperture horn, an improved antenna directivity is achieved while simultaneously reducing the overall antenna physical length by over a factor of two.

[1]  Shah Nawaz Burokur,et al.  Coherent beam control with an all-dielectric transformation optics based lens , 2016, Scientific Reports.

[2]  G. Bartal,et al.  An optical cloak made of dielectrics. , 2009, Nature materials.

[3]  Dylan Germain,et al.  Design and experimental demonstration of a high-directive emission with optical transformations , 2011, ArXiv.

[4]  X. Zhang,et al.  Dielectric Optical Cloak , 2009, 0904.3602.

[5]  Tie Jun Cui,et al.  Experiments on high-performance beam-scanning antennas made of gradient-index metamaterials , 2009 .

[6]  D. Gaillot,et al.  Transformation optics for the full dielectric electromagnetic cloak and metal–dielectric planar hyperlens , 2008 .

[7]  Patrick S. Grant,et al.  3D printed anisotropic dielectric composite with meta-material features , 2016 .

[8]  Jerzy Krupka,et al.  Uncertainty of complex permittivity measurements by split-post dielectric resonator technique , 2001 .

[9]  T. Cui,et al.  Three-dimensional broadband and broad-angle transformation-optics lens. , 2010, Nature communications.

[10]  U. Leonhardt Optical Conformal Mapping , 2006, Science.

[11]  H. Ma,et al.  Three-Dimensional Gradient-Index Materials and Their Applications in Microwave Lens Antennas , 2013, IEEE Transactions on Antennas and Propagation.

[12]  Xiaoyong Tian,et al.  Broadband gradient refractive index planar lens based on a compound liquid medium , 2012 .

[13]  H. Abiri,et al.  Design of High-Gain Lens Antenna by Gradient-Index Metamaterials Using Transformation Optics , 2012, IEEE Transactions on Antennas and Propagation.

[14]  Dichen Li,et al.  Three-dimensional liquid flattened Luneburg lens with ultra-wide viewing angle and frequency band , 2013 .

[15]  Xiaoyong Tian,et al.  All-dielectric three-dimensional broadband Eaton lens with large refractive index range , 2014 .

[16]  Yougang Ke,et al.  Flat designs of impedance-matched nonmagnetic phase transformer and wave-shaping polarization splitter via transformation optics , 2015 .

[17]  Jennefir L. Digaum,et al.  Spatially variant periodic structures in electromagnetics , 2015, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[18]  Tie Jun Cui,et al.  A Broadband Bessel Beam Launcher Using Metamaterial Lens , 2015, Scientific Reports.

[19]  J. Pendry,et al.  Transformation-optical design of adaptive beam bends and beam expanders. , 2008, Optics express.

[20]  O. J. Kleppa,et al.  High-temperature thermodynamics of dilute solutions of hydrogen and deuterium in tantalum and in dilute tantalum-oxygen solid solutions , 1978 .

[21]  Baile Zhang,et al.  Active thermal cloak , 2015 .

[22]  Bo Hou,et al.  Transformation optics with Fabry-Pérot resonances , 2013, Scientific Reports.

[23]  Tie Jun Cui,et al.  Design of multibeam scanning antennas with high gains and low sidelobes using gradient-index metamaterials , 2010 .

[24]  David R. Smith,et al.  Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations , 2007, 0706.2452.

[25]  David R. Smith,et al.  Electromagnetic Design With Transformation Optics , 2011, Proceedings of the IEEE.

[26]  A. Rottler,et al.  Metal–dielectric metamaterials for transformation-optics and gradient-index devices in the visible regime , 2012 .

[27]  Douglas H. Werner,et al.  Far-Zone Focusing Lenses Designed by Complex Coordinate Transformations , 2014, IEEE Antennas and Wireless Propagation Letters.

[28]  Raymond C Rumpf,et al.  Optimization of planar self-collimating photonic crystals. , 2013, Journal of the Optical Society of America. A, Optics, image science, and vision.

[29]  P. S. Grant,et al.  Manufacture of electrical and magnetic graded and anisotropic materials for novel manipulations of microwaves , 2015, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[30]  T. Cui,et al.  Gradient index metamaterials realized by drilling hole arrays , 2010 .

[31]  Yang Hao,et al.  Transformation optics for antennas: why limit the bandwidth with metamaterials? , 2013, Scientific Reports.

[32]  Do-Sik Yoo,et al.  Design of 3D isotropic metamaterial device using smart transformation optics. , 2015, Optics express.

[33]  J. Pendry,et al.  Three-Dimensional Invisibility Cloak at Optical Wavelengths , 2010, Science.

[34]  David R. Smith,et al.  Controlling Electromagnetic Fields , 2006, Science.

[35]  Qiang Cheng,et al.  Broadband gradient index microwave quasi-optical elements based on non-resonant metamaterials. , 2009, Optics express.

[36]  F. Castles,et al.  Microwave dielectric characterisation of 3D-printed BaTiO3/ABS polymer composites , 2016, Scientific Reports.

[37]  Daniel Erni,et al.  Automatic Design of Broadband Gradient Index Metamaterial Lens for Gain Enhancement of Circularly Polarized Antennas , 2013 .

[38]  T. Cui,et al.  Experimental realization of a broadband bend structure using gradient index metamaterials. , 2009, Optics express.

[39]  Yu Luo,et al.  Capturing photons with transformation optics , 2013, Nature Physics.

[40]  D. Werner,et al.  Transformation optical designs for wave collimators, flat lenses and right-angle bends , 2008 .

[41]  A. Sihvola Mixing Rules with Complex Dielectric Coefficients , 2000 .

[42]  D. Smith,et al.  Gradient index metamaterials. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  A. Grbic,et al.  Tailoring the phase and power flow of electromagnetic fields. , 2013, Physical review letters.

[44]  T. Cui,et al.  Three-dimensional broadband and high-directivity lens antenna made of metamaterials , 2011 .

[45]  Shiyu Zhang Design and fabrication of 3D-printed planar Fresnel zone plate lens , 2016 .

[46]  Raymond C. Rumpf,et al.  ELECTROMAGNETIC ISOLATION OF A MICROSTRIP BY EMBEDDING IN A SPATIALLY VARIANT , 2013 .

[47]  Shah Nawaz Burokur,et al.  Spiral-like multi-beam emission via transformation electromagnetics , 2014 .