## Analysis of Rectangular-waveguide Right Angle T-junctionAn exact method is developed for analyzing the electrical performance of a rectangular wave-guide T-junction in which the cross sectional dimensions of the side waveguide are different from the cross sectional dimensions of the through waveguide. The formulas derived for the equivalent admittance matrix of the T-junction are general in that they apply to any right-angle rectangular waveguide T-junction; the side arm of the T-junction may be placed in any position in either the broad or narrow wall of the through waveguide provided that all waveguide surfaces are either at right angles or parallel to each other. This method requires the inversion of an can be obtained by considering a matrix of finite but sufficient size. Numerical calculations for two particular T-junctions showed that accuracies of about one-half percent can be achieved using applied to the analysis of other rectangular waveguide discontinuities or junctions for which no exact analysis is presently available. (Author). |

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### Contents

INTRODUCTION 1 | vii |

TJunction with Side Arm of Arbitrary Cross Section 2 | viii |

EQUIVALENT CIRCUIT THEORY OF WAVEGUIDES 4 | ii |

13 other sections not shown

### Common terms and phrases

According to Eq admittance elements referring Allanson Appendix applying unit voltage approximation coefficient cofactor common side walls Cowling current and voltage cutoff frequency cutoff modes cutoff wavelength denominator determinants diagonal terms E-field E-plane T-junction electric walls elements of Eq equations equivalent admittance matrix equivalent admittance parameters equivalent circuit equivalent current equivalent voltage follows forming the junction inch infinite admittance matrix klystron magnetic field mode at Terminal mode excited mode propagates modes are considered number of cutoff number symbols phase quadrature placed at Terminal propagating modes referring to Terminal reflection coefficient scattering matrix SCATTERING PARAMETERS second T-junction self-admittance elements shown in Fig side waveguide slotted line summation T-junction of Fig Table TE10 mode Terminal Plane terminating impedance matrix three columns TM modes TM TE TM TM TM transfer admittance elements variation voltage at Terminal voltage is applied wave impedance waveguide basis functions waveguide cavity waveguide TEjj waveguides forming zero