Exploring the Potential of the Multi-Modal Equivalent Circuit Approach for Stacks of 2-D Aperture Arrays

Alex‐Amor, Antonio; Mesa, Francisco; Palomares‐Caballero, Ángel; Molero, Carlos; Padilla, Pablo

doi:10.1109/tap.2021.3070150

Cited by 25 publications

(19 citation statements)

References 65 publications

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“…This approximation has been found to be valid up to the second excitable resonance of the considered scatterer. Nonetheless, this usually leads to a large operation bandwidth for the ECA, even within the grating-lobe regime [34], [49]. In fact, the onset of the grating-lobe regime corresponds to the cutoff frequency of high-order propagating harmonics.…”

Section: A Single Aperture Problemmentioning

confidence: 99%

“…A variant of the above structure is formed when the previous layer is stacked together with a second rotated layer of equal dimensions (angle of rotation α = 20°). In our equivalent circuit approach, the incorporation of this second layer to account for the spatial profile of the rotated aperture simply demands a linear transformation of the original spatial profile (54), as pointed out in [49]. The transmission parameters (amplitude and phase) of the stack are plotted in Fig.…”

Section: B Asymmetric Loaded Magnetic Dipolesmentioning

confidence: 99%

“…One of the most relevant characteristics of this method comes from its analytical (or quasi-analytical) nature. It means that no previous full-wave frequency-sweeping simulations are needed in order to accurately take into account the effects of higher order harmonics and couplings in single and stacked FSS structures in a very extended frequency band [42], [43], [49].…”

Section: Introductionmentioning

confidence: 99%

“…In order to have complete independence of full-wave simulators, the formulation is based on Floquet modes in contrast with other state-of-theart synthesis techniques [25], [32], [37]. Furthermore, as discussed in our previous work [49], the analytical nature of the approach makes that linear transformations of the scatterers (such as displacement, rotation, and/or scaling) can easily be introduced to model in a simple and efficient manner complex FSS stacks. The present work goes one step further in that direction and includes the treatment of the cross-pol component in both aperture-and patch-based FSS structures.…”

Section: Introductionmentioning

confidence: 99%

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Cross-Polarization Control in FSSs by Means of an Equivalent Circuit Approach

et al. 2021

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This paper presents an efficient equivalent circuit approach (ECA), based on a Floquet modal expansion, for the study of the co-and cross-polarization in frequency selective surfaces (FSS) formed by periodic arrays of patches/apertures in either single or stacked configurations. The ECA makes it possible the derivation of analytical expressions for the generalized scattering parameters associated with the proposed circuit networks. Furthermore, the proposed circuit approach is an efficient surrogate model that can be combined with optimization techniques and artificial intelligence algorithms for the efficient design of FSS structures, saving efforts in the computation compared to time-consuming full-wave simulators and tedious synthesis (simulation-assisted) techniques. Due to the simplicity of the topology of the involved networks, the ECA can also be advantageously used to gain physical insight. The proposed approach is applied and validated in different FSS configurations where the cross-pol component plays a fundamental role in the design, as in circular polarizers, polarization rotators, and reflectarray cells. INDEX TERMSFrequency selective surface, equivalent circuit approach, co-and cross-polarization terms, metamaterials.

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Section: A Single Aperture Problemmentioning

confidence: 99%

Section: B Asymmetric Loaded Magnetic Dipolesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Cross-Polarization Control in FSSs by Means of an Equivalent Circuit Approach

et al. 2021

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“…Phase resonance is excitable in these cells, and its manifestation in the form of electric resonance will be applied to attain several functionalities. In addition, the design and optimization will be realized via circuit models, where the ideas and experiences previously reported in [20], [21] have succesfully been applied. The paper is organized as follows: Section II where the circuit topology is proposed and tested, leading to the optimization of two cell geometries for two different functionalities; and Section III showing the versatility of the cell employed for the conception of rotators and absorbers.…”

Section: Introductionmentioning

confidence: 99%

Phase-resonance Exploitation in Full-Metal 3D Periodic Structures for Single- and Multi- Wideband Applications

Jiménez¹

2021

Preprint

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This paper presents a versatile full-metal 3D periodic structure based on square waveguides with non-closed resonators perforated on their walls. The complex unit-cell architecture is modelled via accurate equivalent circuits, previously characterized. The circuit model predicts the excitation of phase resonance, which will be used to optimize and design different functionalities, such as polarisation converters or absorption.

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