Modeling Cascaded Cylindrical Metasurfaces with Spatially-Varying Impedance Distribution

Modeling curved metasurface structures represents a computing challenge due to the complexity of considered designs. This creates a need for specialized efficient analysis methods. An approach that combines the spectral-domain field representation and surface sheet impedance concept is proposed. The considered cascaded cylindrical metasurface structures can span across only a part of a canonical surface and unit cell elements can vary along the metasurface, giving a spatially-varying sheet impedance. The analysis method is experimentally verified against a cylindrical metasurface for shaping the feed antenna beam. The problem of manufacturing curved metasurfaces is also discussed in the paper.

[1]  Alessandro Toscano,et al.  Dual-Polarized Reduction of Dipole Antenna Blockage Using Mantle Cloaks , 2015, IEEE Transactions on Antennas and Propagation.

[2]  A. Alú,et al.  Twisted optical metamaterials for planarized ultrathin broadband circular polarizers , 2012, Nature Communications.

[3]  C. Holloway,et al.  Averaged transition conditions for electromagnetic fields at a metafilm , 2003 .

[4]  C. Pfeiffer,et al.  Cascaded metasurfaces for complete phase and polarization control , 2013 .

[5]  C. Pfeiffer,et al.  Metamaterial Huygens' surfaces: tailoring wave fronts with reflectionless sheets. , 2013, Physical review letters.

[6]  Zvonimir Sipus,et al.  Modelling Cascaded Cylindrical Metasurfaces Using Sheet Impedances and a Transmission Matrix Formulation , 2018 .

[7]  S. Maci,et al.  Metasurfing: Addressing Waves on Impenetrable Metasurfaces , 2011, IEEE Antennas and Wireless Propagation Letters.

[8]  Zvonimir Sipus,et al.  An algorithm for calculating Green's functions of planar, circular cylindrical and spherical multilayer substrates , 1997 .

[9]  S. Tretyakov,et al.  Synthesis of Polarization Transformers , 2013, IEEE Transactions on Antennas and Propagation.

[10]  A. Alú,et al.  Line-source excitation of realistic conformal metasurface cloaks , 2012 .

[11]  Brian O. Raeker,et al.  Arbitrary Transformation of Antenna Radiation Using a Cylindrical Impedance Metasurface , 2016, IEEE Antennas and Wireless Propagation Letters.

[12]  Ben A. Munk,et al.  Frequency Selective Surfaces: Theory and Design , 2000 .

[13]  F. Bilotti,et al.  Scattering Manipulation and Camouflage of Electrically Small Objects through Metasurfaces , 2017 .

[14]  G. Eleftheriades,et al.  Polarization Control Using Tensor Huygens Surfaces , 2014, IEEE Transactions on Antennas and Propagation.

[15]  A. Alú,et al.  Mantle cloaking using thin patterned metasurfaces , 2011 .

[16]  A. Alú,et al.  Full control of nanoscale optical transmission with a composite metascreen. , 2013, Physical review letters.

[17]  Anthony Grbic,et al.  Bianisotropic Metasurfaces for Optimal Polarization Control: Analysis and Synthesis , 2014 .

[18]  Brian O. Raeker,et al.  Verification of Arbitrary Radiation Pattern Control Using a Cylindrical Impedance Metasurface , 2017, IEEE Antennas and Wireless Propagation Letters.

[19]  Amit M. Patel,et al.  Transformation Electromagnetics Devices Based on Printed-Circuit Tensor Impedance Surfaces , 2014, IEEE Transactions on Microwave Theory and Techniques.

[20]  Clive Parini,et al.  Spherical near-field antenna measurements , 2014, Theory and Practice of Modern Antenna Range Measurements, 2nd Expanded Edition, Volume 2.

[21]  David R. Smith,et al.  An Overview of the Theory and Applications of Metasurfaces: The Two-Dimensional Equivalents of Metamaterials , 2012, IEEE Antennas and Propagation Magazine.

[22]  S. Tretyakov Analytical Modeling in Applied Electromagnetics , 2003 .