2019
DOI: 10.1109/lawp.2019.2907870
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Fast Analysis of Spherical Metasurfaces Using Vector Wave Function Expansion

Abstract: 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 convent… Show more

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Cited by 6 publications
(4 citation statements)
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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%
“…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%
“…Previous works in this approach include the application of Finite Difference Frequency Domain (FDFD) method [8] and Finite Element Method (FEM) [9] to the modeling of planar GSTCs. Even though most of the metasurfaces reported to date are planar, other canonical shapes such as cylindrical metasurfaces [10][11][12][13] and spherical metasurfaces [14,15] are now being studied. Applications of conformal metasurfaces include illusion transformation [13], cloaking [12], high-gain antennas [16] and so on.…”
Section: Introductionmentioning
confidence: 99%
“…Previous works in this approach include the application of Finite Difference Frequency Domain (FDFD) method [8] and Finite Element Method (FEM) [9] to the modeling of planar GSTCs. Even though most of the metasurfaces reported to date are planar, other canonical shapes such as cylindrical metasurfaces [10]- [13] and spherical metasurfaces [14], [15] are now being studied. Applications of conformal metasurfaces include illusion transformation [13], cloaking [12], high-gain antennas [16] and so on.…”
Section: Introductionmentioning
confidence: 99%