Homogenized Dyadic Potential Green’s Function for Planar Metasurface Placed at Two Half Spaces Interface Excited by Vertical and Horizontal Ideal Electric Dipole

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

doi:10.1109/tap.2019.2963212

Cited by 2 publications

(8 citation statements)

References 27 publications

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“…Using (42)-( 44) and the interaction constants (38)-(41), the analytical formulae in (31)-(32) can be used to calculate the surface susceptibility density dyads. It is necessary to mention that (42)-( 44) are the polarizabilities of a circular patch in freespace; therefore, formulae ( 23)- (24) must first be applied to them. Note that the scatterers are placed at the interface of free space and a dielectric material.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The MPIE which uses both the magnetic vector and electric scalar potential Green's functions is a suitable integral equation form to solve such a problem in multilayered media. The Hertzian magnetic vector potential Green's function for a printed metafilm which is located at two dielectric half-spaces interface was presented in [24] for vertical electric dipole (VED) illumination as:…”

Section: Potential Green's Functionsmentioning

confidence: 99%

“…Equations (11)- (15) are valid for y-directed HED, if k x and v x are replaced by k y and v y , respectively. Also, the longitudinal and transverse scalar electric potentials were derived in [24], respectively as:…”

Section: Potential Green's Functionsmentioning

confidence: 99%

“…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%

See 4 more Smart Citations

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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Section: Numerical Resultsmentioning

confidence: 99%

Section: Potential Green's Functionsmentioning

confidence: 99%

Section: Potential Green's Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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Closed-Form Dyadic Green’s Functions for Dipole Excitation of Planar Periodic Structures

Adanir,

Alatan

2024

IEEE Access

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The analysis of a single source in the vicinity of periodic structures is a very challenging task since the aperiodic source forbids a direct application of a periodic analysis method to the problem. Full wave methods addressing these problems involve infinite summations and double integrations which make the analysis cumbersome. Homogenization based methods reduce this complexity but at the expense of a loss of accuracy and flexibility in handling different kinds of structures. Moreover, the resulting Green's functions still need integrations as opposed to being in closed-form. In this paper, a novel approach is proposed to obtain closed-form expressions for the Green's functions of single sources over periodic structures which makes the analysis of these problems efficient while offering more accuracy and flexibility compared to existing homogenization methods in the literature. To compute the fields scattered by the periodic structure, the reflection coefficients are numerically computed for TE and TM polarized incident plane waves with different angles of incidence and they are approximated by complex exponentials. Approximated reflection coefficients are used in conjunction with the plane wave expansion of the fields radiated by the dipole so that the scattered fields can be expressed in closed-form by utilizing Bessel integral identities.INDEX TERMS closed-form Green's functions, planar periodic structures, multilayered media, electric dipole excitation, Method of Moments

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Homogenized Dyadic Potential Green’s Function for Planar Metasurface Placed at Two Half Spaces Interface Excited by Vertical and Horizontal Ideal Electric Dipole

Cited by 2 publications

References 27 publications

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

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

Closed-Form Dyadic Green’s Functions for Dipole Excitation of Planar Periodic Structures

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