Electromagnetic Simulation of 2.5-Dimensional Cylindrical Metasurfaces With Arbitrary Shapes Using GSTC-MFCM

We present a multifilament current method (MFCM) incorporated with generalized sheet transition condition (GSTC) to simulate 2.5-dimensional cylindrical metasurfaces with arbitrary cross sections for the first time. The chain-type form of GSTC is synthesized and utilized to relate the tangential fields on two sides of a cylindrical metasurface. The MFCM is subsequently introduced and formulated by deploying the GSTC. The doublet-current unit which contains both electric and magnetic line sources with phase terms is deployed in the MFCM for simulating co- and cross-polarized scattered and transmitted fields from GSTC characterized cylindrical metasurfaces. Three illustrative examples regarding different geometries, different metasurface characteristics and different excitations are presented to validate the proposed simulation technique. In comparison to existing numerical methods, the proposed technique has its merits on simplicity and conciseness.

[1]  C. Holloway,et al.  Generalized Sheet Transition Conditions for a Metascreen—A Fishnet Metasurface , 2017, IEEE Transactions on Antennas and Propagation.

[2]  Christophe Caloz,et al.  General Metasurface Synthesis Based on Susceptibility Tensors , 2014, IEEE Transactions on Antennas and Propagation.

[3]  R. Mathon,et al.  The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions , 1977 .

[4]  J. Laurin,et al.  Simulation of Cylindrical Metasurfaces Using GSTC-MFCM , 2021, IEEE Transactions on Antennas and Propagation.

[5]  Dimitra I. Kaklamani,et al.  Electromagnetic scattering analysis of coated conductors with edges using the method of auxiliary sources (MAS) in conjunction with the standard impedance boundary condition (SIBC) , 2002 .

[6]  Y. Leviatan,et al.  Analysis of electromagnetic scattering from a slot-perforated conducting cylindrical shell using a multifilament current model , 1991 .

[7]  Andrea Alù,et al.  Demonstration of an ultralow profile cloak for scattering suppression of a finite-length rod in free space , 2013 .

[8]  D. Kaklamani,et al.  Aspects of the Method of Auxiliary Sources (MAS) in computational electromagnetics , 2002 .

[9]  Amir Boag,et al.  Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model , 1987 .

[10]  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.

[11]  Christopher L. Holloway,et al.  Use of Generalized Sheet Transition Conditions to Model Guided Waves on Metasurfaces/Metafilms , 2012, IEEE Transactions on Antennas and Propagation.

[12]  An analytical method of auxiliary sources solution for line source illumination of impedance cylinders , 2004, 10th International Conference on Mathematical Methods in Electromagnetic Theory, 2004..

[13]  Christophe Caloz,et al.  Generalized Sheet Transition Condition FDTD Simulation of Metasurface , 2017, IEEE Transactions on Antennas and Propagation.

[14]  Christophe Caloz,et al.  Simulation of Metasurfaces in Finite Difference Techniques , 2016, IEEE Transactions on Antennas and Propagation.

[15]  R. Petit,et al.  Electromagnetic theory of diffraction by a system of parallel rods: the method of fictitious sources , 1994 .

[16]  Jian-Ming Jin,et al.  Finite-Element Modeling of Metasurfaces With Generalized Sheet Transition Conditions , 2017, IEEE Transactions on Antennas and Propagation.

[17]  C. Balanis,et al.  Curvature Modeling in Design of Circumferentially Modulated Cylindrical Metasurface LWA , 2017, IEEE Antennas and Wireless Propagation Letters.

[18]  Christophe Caloz,et al.  Nonreciprocal Nongyrotropic Magnetless Metasurface , 2016, IEEE Transactions on Antennas and Propagation.

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

[20]  M. A. Moharram,et al.  Electromagnetic Scattering From Two-Dimensional Arbitrary Objects Using Random Auxiliary Sources , 2015, IEEE Antennas and Propagation Magazine.

[21]  Stefano Maci,et al.  Flat Optics for Leaky-Waves on Modulated Metasurfaces: Adiabatic Floquet-Wave Analysis , 2016, IEEE Transactions on Antennas and Propagation.

[22]  C. Balanis,et al.  Axially Modulated Cylindrical Metasurface Leaky-Wave Antennas , 2018, IEEE Antennas and Wireless Propagation Letters.

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

[24]  H. Anastassiu,et al.  Computational cost estimations and comparisons for three methods of applied electromagnetics (MoM, MAS, MMAS) , 2005, IEEE Antennas and Propagation Magazine.

[25]  Christophe Caloz,et al.  Efficient Analysis of Metasurfaces in Terms of Spectral-Domain GSTC Integral Equations , 2017, IEEE Transactions on Antennas and Propagation.

[26]  An Analytical Method of Auxiliary Sources Solution For Plane Wave Scattering By Impedance Cylinders — a Reference Solution For The Numerical Method of Auxiliary Sources , 2004 .

[27]  D. Novotny,et al.  Waveguides Composed of Metafilms/Metasurfaces: The Two-Dimensional Equivalent of Metamaterials , 2009, IEEE Antennas and Wireless Propagation Letters.

[28]  F. Capolino,et al.  Cylindrical metasurfaces for exotic electromagnetic wave manipulations , 2017, 2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting.

[29]  M. Dehmollaian,et al.  Wave Scattering by a Cylindrical Metasurface Cavity of Arbitrary Cross Section: Theory and Applications , 2018, IEEE Transactions on Antennas and Propagation.

[30]  Ke Wu,et al.  Two-Dimensional Scattering From Homogenous Anisotropic Cylinders Using a Multifilament Current Method , 2020, IEEE Transactions on Antennas and Propagation.

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

[32]  S. Huang,et al.  Simulation of Circular Cylindrical Metasurfaces Using GSTC-MoM , 2018, IEEE Journal on Multiscale and Multiphysics Computational Techniques.

[33]  C. Holloway,et al.  A Homogenization Technique for Obtaining Generalized Sheet-Transition Conditions for a Metafilm Embedded in a Magnetodielectric Interface , 2016, IEEE Transactions on Antennas and Propagation.