Cramér–Rao Bounds for Determination of Permittivity and Permeability in Slabs

Author

Sjöberg, Daniel ; Larsson, Christer

Author_Institution

Dept. of Electr. & Inf. Technol., Lund Univ., Lund, Sweden

Volume

59

Issue

11

fYear

2011

Firstpage

2970

Lastpage

2977

Abstract

We compute the Cramér-Rao lower bounds for determination of isotropic permittivity and permeability in slabs using reflection and transmission data. The results apply to three common measurement situations: free space, rectangular waveguides, and coaxial waveguides. The bounds depend only on the available data and not on the actual inversion method used, making them suitable to evaluate a particular experimental setup. The results are illustrated with several measurements in a rectangular waveguide setting.

Keywords

coaxial waveguides; electromagnetic wave reflection; electromagnetic wave transmission; magnetic permeability; permittivity; rectangular waveguides; slabs; Cramér-Rao bounds; coaxial waveguides; free space; isotropic permittivity; measurement situation; permeability; rectangular waveguides; reflection data; slabs; transmission data; Cramer-Rao bounds; Permeability; Permittivity; Reflection; Resonant frequency; Slabs; Electromagnetic properties; material characterization; reflection; transmission;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2011.2166085

Filename

6029953