Floquet analysis of parametric huygens' metasurfaces

Gupta, Shulabh; Smy, T.

doi:10.1109/apusncursinrsm.2017.8072898

Cited by 4 publications

(2 citation statements)

References 17 publications

(45 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Here we will derive a semi-analytical solution to the extended GSTCs for a periodic metasurface using Floquet's method following the example of Floquet solutions derived in [29]- [31]. This method was developed for TE polarization with tangential only surface susceptibilities for simplicity.…”

Section: Floquet Solution Of Periodic Metasurfacesmentioning

confidence: 99%

Part III - Spatially Dispersive Metasurfaces: Zero Thickness Modeling of Periodic and General Non-uniform Surfaces

Dugan¹,

Rahmeier²,

Smy³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

<p>A zero thickness model of non-uniform spatially dispersive (SD) metasurfaces is developed and demonstrated numerically for practical structures. This is an extension of [1], [2], which proposed a method of modeling uniform spatially dispersive metasurfaces by expressing their surface susceptibilities as rational polynomial functions in the spatial frequency domain. This led to the extended generalized sheet transition conditions (GSTCs) forming a set of differential equations relating the spatial derivatives of both difference and average fields around the surface that were then integrated into an integral equation (IE) solver. Here, the extended GSTCs are further developed to model non-uniform metasurfaces by approximating them as locally linear space invariant (LSI). Using this model, a semi-analytical Floquet method is derived to predict scattered fields from periodically varying metasurfaces. The extended GSTCs, Floquet method, and IE method are tested on several nonuniform surfaces consisting of short metal dipole cells of varying lengths exhibiting strong spatial dispersion. The physical surfaces are simulated in Ansys FEM-HFSS while their zero thickness equivalents, both dispersive and non-dispersive, are simulated using the Floquet and IE methods. Excellent agreement is shown between the Floquet-SD and IE-GSTC-SD methods and HFSS, demonstrating the importance of spatial dispersion to model their scattered fields.</p>

show abstract

Section: Floquet Solution Of Periodic Metasurfacesmentioning

confidence: 99%

Part III - Spatially Dispersive Metasurfaces: Zero Thickness Modeling of Periodic and General Non-uniform Surfaces

Dugan¹,

Rahmeier²,

Smy³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Here we will derive a semi-analytical solution to the extended GSTCs for a periodic metasurface using Floquet's method following the example of Floquet solutions derived in [48,64,65]. This method was developed for TE polarization with tangential only surface susceptibilities for simplicity.…”

Section: Floquet Solution Of Periodic Metasurfacesmentioning

confidence: 99%

Towards Computationally Fast and Electromagnetically Accurate Zero Thickness Sheet Models of Practical Metasurface Structures

Dugan¹

View full text Add to dashboard Cite

Electromagnetic metasurfaces are 2D arrays of sub-wavelength resonating particles whose microscopic properties can be tailored to achieve a desired macroscopic field scattering response. Determining the scattered fields from large metasurfaces consisting of small resonators constitutes a multi-scale problem. To remedy this, metasurfaces are modeled as zero thickness sheets described using surface susceptibilities in conjunction with the Generalized Sheet Transition Conditions (GSTCs). Here, the GSTCs are implemented in a Fast Multipole Method (FMM) accelerated integral equation (IE) solver to simulate metasurfaces embedded in complex environments. While the FMM-IE-GSTC solver works well, the standard dipolar surface susceptibility model of metasurfaces is inadequate for modeling structures exhibiting spatial dispersion. These spatially dispersive structures can be modeled using surface susceptibilities that are rational polynomial functions of the transverse wave-vector resulting in the extended GSTCs. In this thesis, the extended GSTCs are further developed to model non-uniform metasurfaces providing a computationally efficient zero thickness model for practical metasurfaces which is then integrated into the IE-GSTC solver.Computationally Fast and Electromagnetically Accurate Zero Thickness ...

show abstract

Spatially Dispersive Metasurfaces—Part III: Zero-Thickness Modeling of Periodic and Finite Nonuniform Surfaces

Dugan

Rahmeier

Smy

et al. 2023

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

Floquet analysis of parametric huygens' metasurfaces

Cited by 4 publications

References 17 publications

Part III - Spatially Dispersive Metasurfaces: Zero Thickness Modeling of Periodic and General Non-uniform Surfaces

Part III - Spatially Dispersive Metasurfaces: Zero Thickness Modeling of Periodic and General Non-uniform Surfaces

Towards Computationally Fast and Electromagnetically Accurate Zero Thickness Sheet Models of Practical Metasurface Structures

Spatially Dispersive Metasurfaces—Part III: Zero-Thickness Modeling of Periodic and Finite Nonuniform Surfaces

Contact Info

Product

Resources

About