Analysis of a waveguide T-junction with a 2D scatterer in the interaction region via Green's theorem approach

Shulga, S.; Bagatskaya, O. V.

doi:10.1109/icatt.2003.1238866

Cited by 2 publications

(4 citation statements)

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“…Obata and Chiba [16] examined Lewin's theory, which describes an E-pane symmetrical tee junction by an equivalent circuit with only three parameters. A rigorous method for solving 2D scattering by a PEC obstacle of arbitrary cross section shape within an interaction region of waveguide tee junction was presented by Shulga and Bagatskaya [17]. Wang and Zaki [18] developed a rigorous technique for full wave modeling of a generalized double ridge waveguide T-junction.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Folded E-Plane Tee Junction using Multiple Cavity Modeling Technique

Das

Chakrabarty

Chakraborty

2006

2006 International Conference on Electrical and Computer Engineering

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Section: Introductionmentioning

confidence: 99%

Analysis of Folded E-Plane Tee Junction using Multiple Cavity Modeling Technique

Das

Chakrabarty

Chakraborty

2006

2006 International Conference on Electrical and Computer Engineering

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“…This follows because g f and its partial derivatives may be calculated very accurately since g f is proportional to a Hankel function, a function which can be calculated very accurately by standard mathematical packages and techniques [25][26][27]. In other words, if the partial derivatives of the Green's functions integrals of the homogeneous Green's function solution and the partial derivatives of the free space Green's function g f ≡ [11,20]. Testing of Green's second theorem is important because if Green's second theorem can't be verified accurately using the Green's functions developed herein when tested with a known electric field solution, then there is little hope that these Green's functions can be used to formulate a useful EM boundary value integral equation to study EM scattering as was done by [2,3,11,13,14,16,20].…”

Section: Validation Using Green's Second Theoremmentioning

confidence: 99%

“…In other words, if the partial derivatives of the Green's functions integrals of the homogeneous Green's function solution and the partial derivatives of the free space Green's function g f ≡ [11,20]. Testing of Green's second theorem is important because if Green's second theorem can't be verified accurately using the Green's functions developed herein when tested with a known electric field solution, then there is little hope that these Green's functions can be used to formulate a useful EM boundary value integral equation to study EM scattering as was done by [2,3,11,13,14,16,20]. The degree to which Green's second theorem can be verified using a known electric field test solution gives a good indication of how accurately these Green's functions can be used to solve EM field problems where the EM field solution is unknown.…”

Section: Validation Using Green's Second Theoremmentioning

confidence: 99%

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A Rapidly-Convergent, Mixed-Partial Derivative Boundary Condition Green's Function for an Anisotropic Half-Space: Perfect Conductor Case

Jarem¹

2007

PIER

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Abstract-The problem of determining the Green's function of an electric line source located in a permeable, anisotropic (μ xx ,μ xy ,μ yx ,μ yy andε zz nonzero interacting parameters) half-space above a Perfect Magnetic Conductor (PMC) ground plane (called the T M z case herein) for the case where image theory cannot be applied to find the Green's function of the PMC ground plane system has been studied. Monzon [2,3] studied the Green's function T E z problem dual to the present one for two cases; (1) when the system was unbounded, anisotropic space whereε xx ,ε xy ,ε yx ,ε yy andμ zz were the nonzero interacting parameters; and (2) when the scattering system was an anisotropic half-space located above a Perfect Electric Conductor (PEC) ground plane and whereε xx ,ε yy andμ zz were the nonzero interacting parameters andε xy =ε yx = 0. Monzon [2] referred to the latter ground plane case as the case where "usual image" theory could be used to find the Green's function of the system. The Green's function for the T M z -PMC case studied herein was derived by introducing and using a novel, linear coordinate transformation, namelyx = (σ P /τ )x + σ Mỹ ,ỹ =ỹ, (Eqs. (6c,d), herein). This transformation, a modification of that used by [2,3], reduced Maxwell's anisotropic equations of the system to a non-homogeneous, Helmholtz wave equation from which the Green's function, G, meeting boundary conditions, could be determined. The coordinate transformation introduced was useful for the present PMC ground plane problem because it left the position of the PMC ground plane and all lines parallel to it, unchanged in position from the original coordinate system, thus facilitating imposition of EM boundary conditions at the PMC ground plane. 40 JaremIn transformed (or primed) coordinates, for the T M z -PMC and T E z -PEC ground plane problems, respectively, the boundary conditions for the Green's functions G T M ≡ E z and G T E ≡ H z were shown to be αor α T E , where α T M and α T E are complex constants (dually related to each other byμ ↔ε), and whereỹ = 0 is the position of the ground plane. An interesting result of the analysis was that the constant α T E (as far as the author knows) coincidently turned out to be the same as the first of two important constants, namely S 1, which were used by Monzon [2, 3] to formulate integral equations (based on Green's second theorem) from which EM scattering from anisotropic objects could be studied.Spatial Fourier transform (k-space) techniques were used to determine the Green's function of the Helmholtz wave equation expressed in transformed coordinates which satisfied the mixed-partial derivative boundary condition of the system. The Green's function G was expressed as a sum of a "free space" Green's function g f (proportional to a Hankel function H (2) 0 and assumed excited by the line source in unbounded space) and a homogeneous Green's function g whose spectral amplitude was chosen such that, when g was added to g f , the sum G = g f + g, satisfied boundary conditions. The kspace, ...

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Analysis of a waveguide T-junction with a 2D scatterer in the interaction region via Green's theorem approach

Cited by 2 publications

References 3 publications

Analysis of Folded E-Plane Tee Junction using Multiple Cavity Modeling Technique

Analysis of Folded E-Plane Tee Junction using Multiple Cavity Modeling Technique

A Rapidly-Convergent, Mixed-Partial Derivative Boundary Condition Green's Function for an Anisotropic Half-Space: Perfect Conductor Case

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