Calculation of Potential Green’s Functions for a Planar Metasurface Excited by an Electric Dipole Using Homogenization Method

Azari, A.; Firouzeh, Zaker Hossein; Bakhtafrouz, Ahmad

doi:10.1007/s40998-020-00363-z

Cited by 1 publication

(2 citation statements)

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“…Dyadic electric field Green's function for a metafilm that is suspended in free space, homogenized by its surface electric and magnetic susceptibilities, and excited by the electric dipole was obtained by Liang et al [21]. Also, the potential Green's functions for a dipole-excited planar metafilm which is located in free space were derived in [22] and [23], and then generalized for a planar metafilm printed at two half-space interface in [24]. However, in practical applications, metafilm is located on a finite thickness dielectric layer such as a dielectric slab or a microstrip structure, not on the dielectric half-space.…”

Section: Introductionmentioning

confidence: 99%

“…[21]. Also, the potential Green's functions for a dipole‐excited planar metafilm which is located in free space were derived in [22] and [23], and then generalized for a planar metafilm printed at two half‐space interface in [24]. However, in practical applications, metafilm is located on a finite thickness dielectric layer such as a dielectric slab or a microstrip structure, not on the dielectric half‐space.…”

Section: Introductionmentioning

confidence: 99%

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Field calculation of electric dipole excitation of a metafilm printed on a finite‐thickness dielectric slab using the susceptibility homogenization method

Azari

Firouzeh

Bakhtafrouz

2021

IET Microwaves Antenna & Prop

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Here, the authors calculate the fields due to the electric dipole that excites a homogenized metasurface which is printed on a finite thickness dielectric slab. The problem is solved by replacing the total parts below the periodic array which contain the dielectric slab and the half-space under it, with an effective homogenous half-space. Furthermore, the static interaction constants between dipoles which are located at two different materials' interface are calculated. Then, with the help of the Lorentz method, the analytical formulae are presented to calculate the surface susceptibility densities of the homogenized metasurface located at two materials' interface. These analytical formulae can be applied to arrays with both square and rectangular periodicity. An array of circular patches printed on dielectric slabs with different thicknesses is considered to verify the results. The results show good agreement compared to the fields calculated by commercial numerical software FEKO. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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