Waveguide Measurements of the Permittivity and Permeability at Temperatures of up to 1000 $^{\circ}\hbox{C}$

This paper describes a method to measure the permittivity and permeability at temperatures from room temperature up to 1000°C using a single rectangular waveguide. The hardware design of the setup that can handle these temperatures, and the procedure that is required to correct the thermal expansion is developed. This includes the sample displacement, the displacement of the calibration reference planes, the thermal expansion of the waveguide, and the gap between the sample and the waveguide wall. Measurements on Macor and NiZn ferrite samples are performed in order to evaluate the performance of the setup and the procedure that is used to determine the permittivity and permeability from the measured S-parameters.

[1]  O. Wiener,et al.  Die theorie des Mischkörpers für das Feld der stationären Strömung , 1912 .

[2]  S. B. Wilson.  Modal analysis of the 'gap effect' in waveguide dielectric measurements , 1988 .

[3]  R. L. Eisenhart,et al.  Dielectric Properties of Ceramics at Microwave Frequencies , 1992 .

[4]  Edward J. Rothwell,et al.  Electromagnetic Material Characterization using a Partially-Filled Rectangular Waveguide , 2005 .

[5]  A. M. Nicolson,et al.  Measurement of the Intrinsic Properties of Materials by Time-Domain Techniques , 1970 .

[6]  C. P. Neo,et al.  Microwave Electronics: Measurement and Materials Characterization , 2004 .

[7]  W. Ho.  High-Temperature Dielectric Properties of Polycrystalline Ceramics , 1988 .

[8]  D. Sjoberg,et al.  Cramér–Rao Bounds for Determination of Permittivity and Permeability in Slabs , 2011, IEEE Transactions on Microwave Theory and Techniques.

[9]  M. Giroux,et al.  Dynamic High Temperature Microwave Complex Permittivity Measurements on Samples Heated Via Microwave Absorption , 1973 .

[10]  T. E. Cross,et al.  High temperature dielectric measurements on ceramics , 1992 .

[11]  Jose M. Catala-Civera,et al.  Accurate determination of the complex permittivity of materials with transmission reflection measurements in partially filled rectangular waveguides , 2003 .

[12]  W. Weir.  Automatic measurement of complex dielectric constant and permeability at microwave frequencies , 1974 .

[13]  F. Žáček,et al.  Microwave measurements of complex permittivity by free space methods and their applications , 1986 .

[14]  A. Banerjee,et al.  Thermal expansion studies on Inconel-600® by high temperature X-ray diffraction , 2004 .

[15]  K. S. Champlin,et al.  "Gap Effect" in Measurement of Large Permittivities (Correspondence) , 1966 .

[16]  M. Munro.  Evaluated Material Properties for a Sintered alpha‐Alumina , 2005 .

[17]  Harold L. Bassett.  A Free‐Space Focused Microwave System to Determine the Complex Permittivity of Materials to Temperatures Exceeding 2000°C , 1971 .

[18]  G. F. Engen,et al.  Thru-Reflect-Line: An Improved Technique for Calibrating the Dual Six-Port Automatic Network Analyzer , 1979 .

[19]  E. J. Vanzura,et al.  Improved technique for determining complex permittivity with the transmission/reflection method , 1990 .

[20]  R. Munro.  Material Properties of a Sintered α-SiC , 1997 .

[21]  A. Dominek,et al.  Parameter de-embedding accuracy dependency upon material sample dimensions , 1992 .

[22]  Nathan Marcuvitz.  Waveguide Handbook , 1951 .

[23]  R. Munro.  Evaluated Material Properties for a Sintered α‐Alumina , 1997 .

[24]  Paul D. Domich,et al.  A nonlinear least-squares solution with causality constraints applied to transmission line permittivity and permeability determination , 1992 .

[25]  Vijay K. Varadan,et al.  Free-space, broadband measurements of high-temperature, complex dielectric properties at microwave frequencies , 1991 .

[26]  James R. Baker-Jarvis,et al.  Intercomparison of permittivity measurements using the transmission/reflection method in 7-mm coaxial transmission lines , 1994 .