An Alternative Representation for Green's Functions Used in Rectangular Waveguide Slot Analysis

Mahon, J.P.

doi:10.1163/156939390x00113

Cited by 9 publications

(4 citation statements)

References 1 publication

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“…This problem becomes more serious as one considers various aperture distributions along the slot transverse dimension or different slot shapes such as elliptical slots and crossed slots. To overcome this problem, alternative representations have been proposed using a virtual cavity [14] or taking Fourier transform in the direction along the guide and a Fourier series in one of the transverse directions [13].…”

Section: Theorymentioning

confidence: 99%

“…The evaluation of internal admittance of a compound slot using the mode method presents difficulties which have been simplified in [12] by modifying the slot geometry to that of a parallelogram instead of a rectangle. Alternative Green's functions have also been proposed [13,14] to deal with the singularity in internal admittance due to a longitudinal current source in a waveguide for source and observation points in the same transverse plane. These Green's functions use the waveguide coordinate system and give alternative representation for the fields generated by a point source within the waveguide, which then need to be integrated over the slot aperture.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of a Rectangular Waveguide Fed Compound Slot by Image Method

Kakatkar¹,

Deshmukh²,

Ray³

2020

PIER M

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A compound or an offset inclined slot fed by a rectangular waveguide has been analysed using the image method for the evaluation of internal admittance in the Method of Moments framework. The internal admittance has been evaluated from the 2D infinite planar array equivalent image representation of a slot in a waveguide. The advantages offered by this method include the freedom to work in slot coordinates rather than the waveguide coordinates, the reuse of external admittance for air filled waveguides, and the flexibility in the choice of the mutual admittance evaluation technique. Unlike the conventional mode method, the proposed technique does not run into difficulties while evaluating the fields from longitudinal magnetic current for points in the same transverse plane. The θ-algorithm has been used for the convergence acceleration of the series of mutual admittances in the internal admittance evaluation and has been shown to yield better results than other convergence acceleration algorithms investigated. The results obtained from this method have been shown to agree within 0.5% average with those from other theoretical techniques and within 1% average with measurements. The proposed method is useful in the design of compound slot arrays and can be extended to other configurations where the image representation is possible and for various slot aperture distributions.

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Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of a Rectangular Waveguide Fed Compound Slot by Image Method

Kakatkar¹,

Deshmukh²,

Ray³

2020

PIER M

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“…Thus, an alternative representation for the corresponding structures is desired. For a rectangular waveguide filled with two dielectrics, the dyadic Green's function has been analyzed by Tai [l]; and the slots placed along the broad walls of a waveguide, a formulation of such dyadic Green's functions has been given recently by Mahon [6], who followed the same procedure as Tai's. Such formulations are necessary because when a plane microstrip patch or an equivalent magnetic surface source is located along the broad and narrow walls the numerical computation using the unit step functions of U(zz') and U(z' -z ) is unstable.…”

Section: Introductionmentioning

confidence: 99%

“…In principle, there should be no problem of computation, but in practice, however, the accuracy of double numerical integration is quite limited so that alternative dyadic Green's functions for plane sources placed along the broad and narrow walls become desirable. The dyadic Greens' functions expressed in terms of parallelplate vector-wave eigenfunctions for an infinite rectangular waveguide appear tedious [6]. Tai [l] has used the rectangular vector-wave functions to rewrite the dyadic Green's functions for the partitioned waveguide structure.…”

Section: Introductionmentioning

confidence: 99%

Alternative formulations of electric dyadic green's functions of the first and second kinds for an infinite rectangular waveguide with a load

Kooi

Leong

et al. 1995

Micro & Optical Tech Letters

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Alternative expressions of the dyadic Green's function for an infinite rectangular waveguide with and without a load are presented for defining the electromagnetic fields due to a microstrip patch, a slot, and an equivalent magnetic surface source placed along the broad and narrow walls. The alternative formulations of the dyadic Green's functions are given in terms of rectangular vector eigenfunctions defined by using the piloting vector y and z instead of the conventional z. The sign change in the z direction involved in the double numerical integration influences the accuracy and stability of the numerical computation. The alternative forms of the dyadic Green's functions can be used to overcome this problem in the practical applications.

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