Abstract

The T-shaped waveguide (T-waveguide for short) is a new kind of wideband waveguide which is easier to fabricate than conventional wideband waveguides. This paper presents the modal expansion analysis of the T-waveguide. The T-waveguide is first divided into four rectangular domains. The electromagnetic fields in each domain are expressed by suitable mode functions. The continuity of tangential electromagnetic fields along the interface of neighboring regions is enforced by the Galerkin’s matching process and a matrix equation is thus derived. The cutoff wavenumbers of the T-waveguide are then found from the matrix. The results are in good agreement with those obtained by CST Microwave Studio. The proposed method provides fast calculation of the T-waveguide cutoff wavenumber, which is of guiding significance to the design of T-waveguide.

Highlights

  • Waveguide has been widely used because of the effectiveness and reliability in microwave power transmission [1]

  • Due to its features of low energy loss and high power capacity, it can be used for power dividers and directional couplers to improve power combining efficiency [2]–[5]

  • Based on modal expansion method, this paper introduces a realistic and rigorous analysis for the T-waveguide

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Summary

INTRODUCTION

Waveguide has been widely used because of the effectiveness and reliability in microwave power transmission [1]. Rectangular waveguide [1], as a common microwave device, is simple in structure but limited by its single mode bandwidth. The T-waveguide has wide single mode bandwidth and simple structure, but its fast analysis has not been investigated. The modal-expansion method, due to its good accuracy and effectiveness, is commonly used to analyze waveguides [18]–[20] and antennas [21], [22]. Based on modal expansion method, this paper introduces a realistic and rigorous analysis for the T-waveguide. It should be mentioned that the modal expansion method has been used to analyze a ridge waveguide whose mode symmetric plane is a magnetic wall [23].

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