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Scattering Analysis for Layered Cylindrical Object Perpendicularly Piercing the Wider Walls of a Rectangular Waveguide and Its Application to {\varepsilon _{r}} and {\mu _{r}} Measurement

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1 Author(s)
Nishikata, A. ; Center for Res. & Dev. of Educ. Technol., Tokyo Inst. of Technol., Tokyo

This paper describes a novel analysis for the scattering problem of a layered cylindrical object that pierces a rectangular waveguide through a pair of holes made at the center of the wider walls. In this analysis, the S-parameters are rigorously formulated in terms of the modal scattering coefficients of the cylindrical object. Here, the modal scattering coefficients are expressed as solutions to a set of linear equations of infinite extent. The layered object is represented by the admittance function, which can readily be calculated for an arbitrary number of layers, using a recurrence formula. To show the applicability of the presented formulas, two types of dielectric samples (polytetrafluoroethylene and polyacetar) and a ferrite sample were measured, and reasonable values were obtained. In addition, the complex permittivity of water was determined by using a glass capillary tube as a liquid container, and an excellent agreement was shown with the value predicted by Debye's formula.

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Microwave Theory and Techniques, IEEE Transactions on  (Volume:57 ,  Issue: 6 )