Abstract

A new formula for calculating the optimum width of a Substrate Integrated Waveguide (SIW) corresponding to the first mode is presented in this paper. Finite Difference Frequency Domain (FDFD) method is applied to analyze the waveguide structure where geometrical parameters of the SIW are iteratively varied in order to minimize the gap between cutoff frequencies of SIW structure and that of an equivalent conventional rectangular waveguide. Adequate parameters are used to derive the new formula. To verify the accuracy of the new formula, several waveguides are designed and analyzed using the commercial software HFSS. The calculated propagation constants are compared with experimental measurements from literature, a very good conformity is obtained.

Highlights

  • Substrate Integrated Waveguide (SIW) technology represents an important part of planar circuits

  • We present a new formula for calculating SIW’s optimum width in function of equivalent width Weq and via diameter to via pitch ratio (d/p)

  • Dispersion characteristics of SIW structure are investigated

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Summary

Introduction

Substrate Integrated Waveguide (SIW) technology represents an important part of planar circuits. To have the same propagation and dispersion characteristics of a conventional rectangular waveguide, the design of SIW starts by determining the equivalent waveguide width for the desired cutoff frequency and a chosen substrate permittivity. For this reason, the equivalent width has a capital importance in the design of SIW circuits. Authors of [3] have employed an approach based on a Method of Moment (MoM), where the equivalence on propagation and cutoff frequency between SIW and rectangular waveguide are investigated to find an equation which gives the equivalent width. Note that the propagation characteristic accuracy of SIW structure is an important criterion in any successful design of SIW-based circuits

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