An Accurate Derivation of Spatial Green's Function for Finite Dielectric Structures Using Characteristic Green's Function-Perfectly Matched Layer Method

Torabi, Abdorreza; Shishegar, Amir Ahmad

doi:10.1109/tap.2014.2315251

Cited by 3 publications

(2 citation statements)

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“…1(b). For PMLs, thickness of d PML and material parameters κ 0 and σ 0 are considered [9], [10], [12]. It is shown that by stretching the coordinates, the air region can be combined with the PML to form a single layer with complex thickness d air = d air + d PML (κ 0 − j σ0 ω 0 ) [13].…”

Section: Cgf-pml Formulationmentioning

confidence: 99%

“…The main challenge in RFFM is that the generated complex poles behave exponentially increasing in semi-infinite layer at the top and/or bottom like leaky wave poles. Perfectly matched layer (PML) was introduced by Berenger [8] has been used to analyze open waveguide problems involving microstrip substrate [9], [10]. In this technique, by adding a metal backed PML to an open layered media, the structure becomes closed without changing its electromagnetic behavior.…”

Section: Introductionmentioning

confidence: 99%

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Combined CGF-PML and CGF-RFFM for efficient and uniform modal derivation of Green's function of planar layered media

Torabi

Shishegar

2015

2015 German Microwave Conference

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A closed-form series representation for spatial Green's function of planar layered media for all distances from source, is presented. By terminating the structure by perfectly matched layer (PML) backed by perfect electric conductor (PEC), the discrete set of surface wave (SW) poles is complemented by eigenmodes of the closed structure by PML poles which construct the continuous spectrum contribution of the original structure. Then applying the characteristic Green's function (CGF) technique, a closed-form representation of spatial Green's function is derived. Very close to the source, where the large number of modes must be considered, the method is become inefficient. In very near field regions, by combining CGF technique and rational function fitting method (RFFM), Green's function would be efficiently constructed with few number of poles extracted in modified VECTFIT algorithm in similar form of CGF-PML result. In this way, an efficient modal series representation is derived by using CGF-PML and CGF-RFFM for far from and close to the source respectively. The main advantage of this representation is that for desired accuracy the number of required modes is controllable. Excellent agreements with direct numerical integration of the spectral integral are shown in several examples.

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Section: Cgf-pml Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%