Efficient Hybrid Full-Wave/Circuital Approach for Stacks of Frequency Selective Surfaces

This letter shows an efficient hybrid method to study stacks of identical frequency selective surfaces (FSSs) separated by possibly different dielectrics. The method takes advantage of the ability of the equivalent circuit approach to create a <inline-formula><tex-math notation="LaTeX">$\Pi$</tex-math></inline-formula>-network for a pair of coupled FSSs and combines it with full-wave simulations involving a single FSS. This way, the solution of the complete problem of <inline-formula><tex-math notation="LaTeX">$N$</tex-math></inline-formula> stacked surfaces only involves full-wave simulations of a single periodic layer. Three scenarios have to be simulated where the surface is either standalone, or backed by perfect electric or perfect magnetic conductors. The proposed approach is validated through the analysis of several examples.

[1]  Fabrizio Frezza,et al.  Equivalent-circuit model for stacked slot-based 2D periodic arrays of arbitrary geometry for broadband analysis , 2018 .

[2]  Fan Yang,et al.  Transmission Phase Limit of Multilayer Frequency-Selective Surfaces for Transmitarray Designs , 2014, IEEE Transactions on Antennas and Propagation.

[3]  Miguel Beruete,et al.  Accurate Circuit Modeling of Fishnet Structures for Negative-Index-Medium Applications , 2016, IEEE Transactions on Microwave Theory and Techniques.

[4]  Francisco Medina,et al.  Unlocking Complexity Using the ECA: The Equivalent Circuit Model as An Efficient and Physically Insightful Tool for Microwave Engineering , 2018, IEEE Microwave Magazine.

[5]  Francisco Medina,et al.  Wideband analytical equivalent circuit for coupled asymmetrical nonaligned slit arrays. , 2017, Physical review. E.

[6]  G Valerio,et al.  Accurate Bloch Analysis of 1-D Periodic Lines Through the Simulation of Truncated Structures , 2011, IEEE Transactions on Antennas and Propagation.

[7]  Vicente E. Boria,et al.  Efficient Design of Waveguide Manifold Multiplexers Based on Low-Order EM Distributed Models , 2015, IEEE Transactions on Microwave Theory and Techniques.

[8]  Miguel Beruete,et al.  Fishnet metamaterial from an equivalent circuit perspective , 2012 .

[9]  Clive Parini,et al.  Equivalent circuit method for analysis and synthesis of frequency selective surfaces , 2006 .

[10]  Fan Yang,et al.  An FSS-Backed 20/30-GHz Dual-Band Circularly Polarized Reflectarray With Suppressed Mutual Coupling and Enhanced Performance , 2017, IEEE Transactions on Antennas and Propagation.

[11]  Tie Jun Cui,et al.  High-Gain Dual-Band Transmitarray , 2017, IEEE Transactions on Antennas and Propagation.

[12]  Francisco Mesa,et al.  Equivalent Circuit Approach for Practical Applications of Meander-Line Gratings , 2017, IEEE Antennas and Wireless Propagation Letters.

[13]  Francisco Medina,et al.  Wideband analytical equivalent circuit for one-dimensional periodic stacked arrays. , 2016, Physical review. E.

[14]  M. Beruete,et al.  Molding Left- or Right-Handed Metamaterials by Stacked Cutoff Metallic Hole Arrays , 2007, IEEE Transactions on Antennas and Propagation.

[15]  X. Jianhua,et al.  Coaxial Waveguide Based Left-Handed Transmission Line , 2007, IEEE Microwave and Wireless Components Letters.

[16]  Simple Boundary Condition for Canonical EBG Surface: PMC-Backed Uniaxial Medium , 2016, IEEE Transactions on Antennas and Propagation.

[17]  Lin Zheng,et al.  A Tri-Band, Highly Selective, Bandpass FSS Using Cascaded Multilayer Loop Arrays , 2016, IEEE Transactions on Antennas and Propagation.

[18]  Li Jun Jiang,et al.  Integration of Arbitrary Lumped Multiport Circuit Networks Into the Discontinuous Galerkin Time-Domain Analysis , 2013, IEEE Transactions on Microwave Theory and Techniques.

[19]  Francisco Medina,et al.  Circuit-Model Analysis of Frequency Selective Surfaces With Scatterers of Arbitrary Geometry , 2015, IEEE Antennas and Wireless Propagation Letters.

[20]  G.A.E. Vandenbosch,et al.  Quality Assessment of Computational Techniques and Software Tools for Planar-Antenna Analysis , 2009, IEEE Antennas and Propagation Magazine.

[21]  Francisco Medina,et al.  Analytical Multimodal Network Approach for 2-D Arrays of Planar Patches/Apertures Embedded in a Layered Medium , 2015, IEEE Transactions on Antennas and Propagation.

[22]  Chi-Hsueh Wang,et al.  An Equation-Based Hybrid Method for Predicting Radiated Susceptibility Responses of RF/Microwave Circuits , 2011, IEEE Transactions on Electromagnetic Compatibility.

[23]  Long Li,et al.  Design and Synthesis of Multilayer Frequency Selective Surface Based on Antenna-Filter-Antenna Using Minkowski Fractal Structures , 2015, IEEE Transactions on Antennas and Propagation.

[24]  F. Medina,et al.  Circuit modeling of the transmissivity of stacked two-dimensional metallic meshes. , 2010, Optics express.

[25]  Francisco Medina,et al.  Simplified Modal Expansion to Analyze Frequency-Selective Surfaces: An Equivalent Circuit Approach , 2016, IEEE Transactions on Antennas and Propagation.