Simulation of Circular Cylindrical Metasurfaces Using GSTC-MoM

Sandeep, Srikumar; Huang, Shao Ying

doi:10.1109/jmmct.2018.2881253

Cited by 32 publications

(95 citation statements)

References 33 publications

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“…The modeling of planar GSTCs was previously reported using the Finite Difference Frequency Domain (FDFD) method [5] and Finite Element Method (FEM) [6]. Other canonical shapes such as cylindrical metasurfaces [7]- [9] and spherical metasurfaces [10], [11] are now being studied. Integral Equation -Method of Moment (IE-MoM) was applied to circular cylindrical metasurfaces in [7].…”

Section: Introductionmentioning

confidence: 99%

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Application of cylindrical IE-GSTC to physical metasurfaces

Sandeep¹,

Gasiewski²,

Huang³

et al. 2022

Preprint

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<div>This work validates cylindrical IE-GSTC by applying it to physical metasurfaces, i.e. metasurfaces defined by material properties and dimensions rather than by susceptibility tensor components. Previously reported IE-GSTC which was formulated for zero thickness GSTC discontinuity is extended to handle finite thickness of physical metasurfaces. A simple analytical approach is used to extract the bianisotropic susceptibility tensor of concentric, multilayered, magneto-dielectric shell. Plane wave scattering by a physical metasurface constructed of four segments of multilayered, magneto-dielectric metasurface scatterers is used as an example problem to validate cylindrical IEGSTC. A second example considers an opening on the cylindrical metasurface, confirming IE-GSTC can handle metasurfaces with openings. Good agreement is obtained between IE-GSTC results and full wave simulation results for both cases.</div>

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Section: Introductionmentioning

confidence: 99%

“…Other canonical shapes such as cylindrical metasurfaces [7]- [9] and spherical metasurfaces [10], [11] are now being studied. Integral Equation -Method of Moment (IE-MoM) was applied to circular cylindrical metasurfaces in [7]. This was extended to cylindrical metasurfaces of arbitrary cross-section in [8].…”

Section: Introductionmentioning

confidence: 99%

Application of cylindrical IE-GSTC to physical metasurfaces

Sandeep¹,

Gasiewski²,

Huang³

et al. 2022

Preprint

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“…There is therefore a pressing need for extending current computational techniques for planar metasurfaces to curved metasurfaces. Early efforts in this direction include the FDTD analysis of spherical metasurface cavities [24] and arbitrarily curved metasurfaces [25], and the method of moments (MoM) analysis of circular-cylindrical metasurfaces [26]. This paper presents a generalization of the IE-MoM analysis technique of the circular-section cylindrical metasurface using circular cylindrical coordinates in [26] to a cylindrical metasurface with arbitrary cross section.…”

Section: Introductionmentioning

confidence: 99%

“…Early efforts in this direction include the FDTD analysis of spherical metasurface cavities [24] and arbitrarily curved metasurfaces [25], and the method of moments (MoM) analysis of circular-cylindrical metasurfaces [26]. This paper presents a generalization of the IE-MoM analysis technique of the circular-section cylindrical metasurface using circular cylindrical coordinates in [26] to a cylindrical metasurface with arbitrary cross section. Moreover, using this technique, it demonstrates that a properly synthesized metasurface, coating circular cross section and rhombic cross section cylinders, leads to perfect active cloaking and extinction cross width reduction while taking a naive purely passive version of the metasurfaces still provide excellent cloaking and substantial extinction cross width, and also demonstrates the optical illusion capability of such metasurfaces in the case of an elliptical structure.…”

Section: Introductionmentioning

confidence: 99%

Wave Scattering by a Cylindrical Metasurface Cavity of Arbitrary Cross Section: Theory and Applications

Dehmollaian

Chamanara

Caloz

2019

IEEE Trans. Antennas Propagat.

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This paper presents a technique, combining the integral equations (IE) and the Generalized Sheet Transition Conditions (GSTCs) with bianisotropic susceptibility tensors, to compute electromagnetic wave scattering by cylindrical metasurfaces -forming two-dimensional porous cavities -of arbitrary cross sections. Moreover, it applies this technique to two problems -cloaking with circular and rhombic shapes and illusion optics with an elliptic shape -that both validate it, from comparison with specifications used in an exact synthesis of the metasurfaces, and reveal interesting capabilities of such metasurface structures. Particularly, active cylindrical metasurfaces can perfectly cloak and hence eliminate the extinction cross section of various cylindrical shapes, and simple purely passive versions of them, practically more accessible, still perform quite good cloaking and provide remakable extinction cross section reduction. onto the x and y directions of the global system, while leaving the shared coordinate z unchanged. We have then, for instance,

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“…Modeling of GSTCs in the Finite Element Method (FEM), which is one of the more widely used numerical methods to simulate practical problems was described in [12]. Recently, Integral Equation -Method of Moment (IE-MoM) was applied to circular cylindrical metasurfaces [13] and cylindrical metasurfaces of arbitrary cross-section [14]. A review of computational electromagnetic methods applied to metasurface analysis can be found in [15].…”

Section: Introductionmentioning

confidence: 99%

Fast Analysis of Spherical Metasurfaces Using Vector Wave Function Expansion

Sandeep

Huang

2019

Antennas Wirel. Propag. Lett.

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Modeling of spherical metasurfaces using Generalized Sheet Transition Conditions (GSTCs) and Vector Wave Function (VWF) expansion is presented. The fields internal and external to the metasurface is expanded in terms of spherical VWFs and unknown coefficients. GSTCs are used to obtain linear relationships between the unknown coefficients. An overdetermined system of equations are then solved by point matching. The method is quasi-analytical and hence there is no need for meshing which is encountered in conventional computational electromagnetic methods. This results in the method being extremely fast and hence useful for metasurface optimization. The method is validated by two examples. The formulations presented here can be easily extended to multilayered spherical metasurfaces.

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Simulation of Circular Cylindrical Metasurfaces Using GSTC-MoM

Cited by 32 publications

References 33 publications

Application of cylindrical IE-GSTC to physical metasurfaces

Application of cylindrical IE-GSTC to physical metasurfaces

Wave Scattering by a Cylindrical Metasurface Cavity of Arbitrary Cross Section: Theory and Applications

Fast Analysis of Spherical Metasurfaces Using Vector Wave Function Expansion

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