Uniqueness of complex permittivity reconstruction in a parallel-plane waveguide

• Published in: Radio science Vol. 42; no. 6; pp. RS6S20 - n/a
• Main Authors: Shestopalov, Y. V., Yakovlev, V. V.
• Format: Journal Article
• Language: English
• Published: American Geophysical Union 01-12-2007; Blackwell Publishing Ltd
• Subjects: Asymptotic properties; Complex permittivity; Dielectric constant; dielectric inclusion; Electromagnetic theory; Electromagnetic waves; Electromagnetics; Guided waves; Inverse scattering; Nonlinear electromagnetics; Permittivity; Reflection; scattering; Scattering and diffraction; Uniqueness; Waveguides; dielectric inclusion; scattering; uniqueness
• ISSN: 0048-6604; 1944-799X
• DOI: 10.1029/2007RS003665

The paper presents a statement and a proof of uniqueness of solution to the inverse problem of determination of permittivity of a lossy dielectric inclusion in a parallel‐plane waveguide from the reflection and transmission characteristics. The approach is based on the analysis of asymptotic representations of a solution to the direct problem of diffraction of a transverse electric wave and employs a generalization of the notion of partial far‐field patterns applied for a guide.