Improved modeling of permittivity measurement cells

Author

Roussy, Georges ; Agbossou, Kodjo ; Thiebaut, Jean-marie

Author_Institution

Lab. de Spectrosc. et des Tech. Microondes, Nancy I Univ., Vandoeuvre les Nancy, France

Volume

41

Issue

3

fYear

1992

fDate

6/1/1992 12:00:00 AM

Firstpage

366

Lastpage

369

Abstract

The impedance of metallic cavity, which contains a material, the complex permittivity of which is ε*, is a rational functional of the complex variable (ε*-ε₀,/ε₀). Since the poles and the residuals of this function are all real, it can be written as a ratio of two polynomials, with real coefficients. The degrees of the polynomials can be chosen so that the experimental values fit the theory with a desired accuracy. It is shown that formulas of this type can be used for calibrating any dielectric measurement cell, avoiding the establishment of an equivalent circuit of the cell

Keywords

microwave circuits; microwave measurement; permittivity measurement; poles and zeros; polynomials; complex permittivity; impedance; metallic cavity; microwave circuits; permittivity measurement cells; poles; polynomials; real coefficients; residuals; Dielectric materials; Dielectric measurements; Equivalent circuits; Frequency; Impedance measurement; Inorganic materials; Microwave circuits; Permittivity measurement; Polynomials; Transmission line measurements;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.153330

Filename

153330