A New Calibration Algorithm Using Reference Materials for the Waveguide-Penetration Method

Alfred KIK  Atsuhiro NISHIKATA  

IEICE TRANSACTIONS on Communications   Vol.E94-B   No.9   pp.2549-2557
Publication Date: 2011/09/01
Online ISSN: 1745-1345
DOI: 10.1587/transcom.E94.B.2549
Print ISSN: 0916-8516
Type of Manuscript: PAPER
Category: Electromagnetic Compatibility(EMC)
permittivity measurement,  permeability measurement,  waveguide,  transmission-line method,  vector network analyzer (VNA),  calibration algorithm,  reference material,  error analysis,  

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The waveguide-penetration method is a method to measure the electrical properties of materials. In this method, a cylindrical object pierces a rectangular waveguide through a pair of holes at the centre of its broad walls. Then, the complex permittivity and permeability of the object are estimated from measured S-parameters after TRL calibration. This paper proposes a new calibration algorithm for the waveguide-penetration method. Reference materials with known electrical properties are fabricated in cylindrical shapes to fit into the holes in the waveguide and are used as calibration standards. The algorithm is formulated using the property of equal traces in similar matrices, and we show that at least two reference materials are needed to calibrate the system. The proposed algorithm yields a simpler means of calibration compared to TRL and is verified using measurements in the S-band. Also, the error sensitivity coefficients are derived. These coefficients give valuable information for the selection of reference materials.