Rigorous and Fast Convergent Analysis of a Rectangular Waveguide Coupler Slotted in Common Wall

Jia, Hongting; Yoshitomi, Kuniaki; Yasumoto, Kiyotoshi

doi:10.2528/pier03100102

Cited by 10 publications

(7 citation statements)

References 19 publications

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“…While applying the moments and Galerkin's methods to analyse single and multi-slot elements of the coupling of electrodynamic volumes, different basis and weight functions can be used: the piecewise [6], the piecewise linear and piecewise sinusoidal [28], the trigonometric [7,8,29,30] and Gegenbauer polynomials [31]. In these cases it is necessary to solve the system of linear algebraic equations (SLAE) of the N -order, where N is a number of linearly independent basis functions.…”

Section: Induced Magnetomotive Forces Methods For Analysis Of Couplingmentioning

confidence: 99%

Analytical Methods in Theory of Slot-Hole Coupling of Electrodynamic Volumes

Nesterenko¹,

Katrich²,

Penkin³

et al. 2007

PIER

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Abstract-The approximate analytical solution of the integral equation concerning the equivalent magnetic current in the narrow slot, coupling two electrodynamic volumes, has been obtained by the averaging method. The formulas and the plots for currents and the coupling coefficients of longitudinal and transverse slots in the common walls of rectangular waveguides are represented. By means of the induced magnetomotive forces method using basis functions of current distribution, obtained by the averaging method, the following electrodynamic structures have been considered: the electrically long longitudinal slot in the common broad wall of rectangular waveguides; two symmetrical transverse slots in the common broad wall of rectangular waveguides; the transverse slots system in the common broad wall of rectangular waveguides. The problem about the resonant iris with the arbitrary oriented slot in the plane of cross-section of a rectangular waveguide has been solved by the averaging method. The problem about stepped junction of two semi-infinite rectangular waveguides with the impedance slotted iris has been solved by the induced magnetomotive forces method. The analytical formulas for the distributed surface impedance of homogeneous and inhomogeneous magnetodielectric coatings of iris surface have been obtained. For a greater number of the considered electrodynamic structures the calculated values are compared with the results, obtained by numerical methods (also using commercial programs) and the experimental data.

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Section: Induced Magnetomotive Forces Methods For Analysis Of Couplingmentioning

confidence: 99%

Analytical Methods in Theory of Slot-Hole Coupling of Electrodynamic Volumes

Nesterenko¹,

Katrich²,

Penkin³

et al. 2007

PIER

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show abstract

“…While applying the moments and Galerkin's methods to analyse single and multi-slot elements of the coupling of electrodynamic volumes, different basis and weight functions can be used: the piecewise [6], the piecewise linear and piecewise sinusoidal [25], the trigonometric [7,8,28,29] and Gegenbauer polynomials [26,27]. In these cases it is necessary to solve the system of linear algebraic equations (SLAE) of the N -order, where N is a number of linearly independent basis functions.…”

Section: Induced Magnetomotive Forces Methods With Basis Functions Of mentioning

confidence: 99%

The Asymptotic Solution of an Integral Equation for Magnetic Current in a Problem of Waveguides Coupling Through Narrow Slots

Nesterenko¹,

Katrich²

2006

PIER

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Abstract-Based on the asymptotic method of averaging, an approximate analytical solution of the integral equation concerning a magnetic current in slot-hole coupling apertures of electrodynamic volumes, which differ profitably from the known ones in literature, has been obtained. The formulas for the currents and characteristics scattering of transverse and longitudinal slots in common broad and narrow walls of rectangular waveguides are given. The comparison to results obtained by other methods and experimental data has been done.

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“…As a result the entire problem reduces to a simple circuit analysis problem, which is necessary for slot radiator using multilayered junctions [5]. In many cases [14][15][16] it is convenient to replace the slot by an equivalent planar or cylindrical dipole for analysis [17,18]. Hallen [10] has found the radius of the equivalent cylindrical dipole using static field considerations.…”

Section: Introductionmentioning

confidence: 99%