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A Closed-Form Solution for Reconstruction of Permittivity of Dielectric Slabs Placed at the Center of a Rectangular Waveguide

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3 Author(s)
M. Jaleel Akhtar ; Forschungszentrum Karlsruhe ; Lambert E. Feher ; Manfred Thumm

A simple analytical approach for determining the complex relative permittivity of dielectric and composite materials "partially" filling a rectangular waveguide is presented. The procedure requires the measurement of the reflection and transmission coefficient data of the test specimen by placing a thin slab of the material-under-test (MUT) at the center of a rectangular waveguide cross section. The dielectric constant and the loss tangent of the MUT are reconstructed from the measured reflection and transmission coefficient data using the newly proposed closed-form expressions, which represent the approximated form of the transcendental equation normally used to describe partially filled waveguides. A technique is also presented here to resolve the ambiguity problem generally associated with samples of electrical length greater than a wavelength. The applicability and range of validity of the proposed approach is tested by reconstructing a number of samples of varying dielectric properties

Published in:

IEEE Geoscience and Remote Sensing Letters  (Volume:4 ,  Issue: 1 )