TY - JOUR

T1 - Complex permittivity determination only with reflection coefficient in partially filled waveguides

AU - Aydoǧan, Ahmet

AU - Akinci, M. N.

AU - Akleman, Funda

N1 - Publisher Copyright:
© 2018 IOP Publishing Ltd.

PY - 2018/10/3

Y1 - 2018/10/3

N2 - In this study, dielectric measurement of homogeneous materials partially loaded in rectangular waveguides is presented utilizing multi-frequency reflection coefficient (ΓM) data measured via a vector network analyser. The relation between ΓM and the complex permittivity of the material, of which the frequency behavior in the considered band is analytically modelled with a one-pole Debye relaxation model, is constructed through integral equations associated with the Dyadic Green's function of the hollow waveguide. The integral equations are then inverted to determine the complex permittivity via a root search routine based on the multivariate Newton-Raphson method, which is applied to calculate the model parameters valid for the considered frequency band. Finally, sensitivity and convergence analysis are performed for different scenarios.

AB - In this study, dielectric measurement of homogeneous materials partially loaded in rectangular waveguides is presented utilizing multi-frequency reflection coefficient (ΓM) data measured via a vector network analyser. The relation between ΓM and the complex permittivity of the material, of which the frequency behavior in the considered band is analytically modelled with a one-pole Debye relaxation model, is constructed through integral equations associated with the Dyadic Green's function of the hollow waveguide. The integral equations are then inverted to determine the complex permittivity via a root search routine based on the multivariate Newton-Raphson method, which is applied to calculate the model parameters valid for the considered frequency band. Finally, sensitivity and convergence analysis are performed for different scenarios.

KW - dielectric measurement

KW - method of moments

KW - multi-frequency data

KW - reflection coefficient

KW - waveguide measurements

UR - http://www.scopus.com/inward/record.url?scp=85055332361&partnerID=8YFLogxK

U2 - 10.1088/1361-6501/aadcbc

DO - 10.1088/1361-6501/aadcbc

M3 - Article

AN - SCOPUS:85055332361

SN - 0957-0233

VL - 29

JO - Measurement Science and Technology

JF - Measurement Science and Technology

IS - 11

M1 - 115601

ER -