Abstract:Article
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“…where A is magnetic vector potential and ψ the electric scalar potential as defined in [14]. Since tangential component of electric field vanishes on perfect conducting metal, impedance matrix by applying MPIE and Galerkin's method can be written as:…”
Section: The Proposed Formulationmentioning
confidence: 99%
“…These functions are presented in spherical coordinates in [14]. r(r, θ, ϕ) and r (r , θ , ϕ ) refer to field and source position vectors, respectively.…”
Section: The Proposed Formulationmentioning
confidence: 99%
“…All spherical dyad components can be converted to Cartesian dyads. As an example the conversion equation ofrφ component of a dyad is extracted as follows: rφ = (sin θ f cos ϕ fx +sin θ f sin ϕ fŷ +cos θ fẑ )(− sin ϕ sx +cos ϕ sŷ ), (14) where subscripts f and s refer to field and source points, respectively. Therefore, the Cartesian DGFs compatible with vector currents components can be obtained by using the aforementioned conversion method.…”
Section: Spherical To Cartesian Transformation Of Dgfmentioning
confidence: 99%
“…Antenna input admittance is determined using MoMs and solving MPIE by both asymptotic approximation formulas [7] and DGFs proposed in [14] with unit dielectric constants in all three layers. The results are compared with those obtained from CST Microwave Studio simulator [17].…”
Section: Spherical Dipole Antenna In Free Spacementioning
Abstract-Rigorous mathematical Method of Moments (MoMs) for analyzing various radiating spherical structures is presented in this paper by using Dyadic Green's Functions (DGFs) in conjunction with Mixed Potential Integral Equation (MPIE) formulation. With the aid of linear Rao-Wilton-Glisson (RWG) triangular basis functions and by converting spherical DGFs to Cartesian DGFs, a conformal dipole antenna in free space and over a Perfect Electric Conductor (PEC) sphere is analyzed. The characteristics of such antennas are computed by applying multilayer spherical DGFs and asymptotic approximation methods. Mutual couplings between elements of a conformal dipole antenna array in free space and over a conducting sphere are also investigated. Good agreement between the computational results obtained by the proposed methods and those obtained from commercial simulator packages shows accuracy and high convergence speed of the presented methods.
“…where A is magnetic vector potential and ψ the electric scalar potential as defined in [14]. Since tangential component of electric field vanishes on perfect conducting metal, impedance matrix by applying MPIE and Galerkin's method can be written as:…”
Section: The Proposed Formulationmentioning
confidence: 99%
“…These functions are presented in spherical coordinates in [14]. r(r, θ, ϕ) and r (r , θ , ϕ ) refer to field and source position vectors, respectively.…”
Section: The Proposed Formulationmentioning
confidence: 99%
“…All spherical dyad components can be converted to Cartesian dyads. As an example the conversion equation ofrφ component of a dyad is extracted as follows: rφ = (sin θ f cos ϕ fx +sin θ f sin ϕ fŷ +cos θ fẑ )(− sin ϕ sx +cos ϕ sŷ ), (14) where subscripts f and s refer to field and source points, respectively. Therefore, the Cartesian DGFs compatible with vector currents components can be obtained by using the aforementioned conversion method.…”
Section: Spherical To Cartesian Transformation Of Dgfmentioning
confidence: 99%
“…Antenna input admittance is determined using MoMs and solving MPIE by both asymptotic approximation formulas [7] and DGFs proposed in [14] with unit dielectric constants in all three layers. The results are compared with those obtained from CST Microwave Studio simulator [17].…”
Section: Spherical Dipole Antenna In Free Spacementioning
Abstract-Rigorous mathematical Method of Moments (MoMs) for analyzing various radiating spherical structures is presented in this paper by using Dyadic Green's Functions (DGFs) in conjunction with Mixed Potential Integral Equation (MPIE) formulation. With the aid of linear Rao-Wilton-Glisson (RWG) triangular basis functions and by converting spherical DGFs to Cartesian DGFs, a conformal dipole antenna in free space and over a Perfect Electric Conductor (PEC) sphere is analyzed. The characteristics of such antennas are computed by applying multilayer spherical DGFs and asymptotic approximation methods. Mutual couplings between elements of a conformal dipole antenna array in free space and over a conducting sphere are also investigated. Good agreement between the computational results obtained by the proposed methods and those obtained from commercial simulator packages shows accuracy and high convergence speed of the presented methods.
“…The feeding of the spherical microstrip is usually modeled as a source located between the PEC core and the patch (Chen et al, 1997;Sipus et al, 2008;Khamas, 2009). A common type of source utilized in such cases is an axial probe connecting the two PEC surfaces.…”
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