skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: PyOECP: A flexible open-source software library for estimating and modeling the complex permittivity based on the open-ended coaxial probe (OECP) technique

Journal Article · · Computer Physics Communications

Here, we present PyOECP, a Python-based flexible open-source software for estimating and modeling the complex permittivity obtained from the open-ended coaxial probe (OECP) technique. The transformation of the measured reflection coefficient to complex permittivity is performed based on three different methods. The software library contains the dielectric spectra of common reference liquids, which can be used to transform the reflection coefficient into the dielectric spectra. Several Python routines that are commonly employed (e.g., SciPy and NumPy) in the field of science and engineering are required only so that the users can alter the software structure depending on their needs. The modeling algorithm exploits the Markov Chain Monte Carlo method for the data regression. The discrete relaxation models can be built by a proper combination of well-known relaxation models. In addition to these models, electrode polarization, a typical measurement artifact for interpreting dielectric spectra, can be incorporated into the modeling algorithm. A continuous relaxation model, which solves the Fredholm integral equation of the first kind (a mathematically ill-posed problem), is also included. This open-source software enables users to freely adjust the physical parameters to obtain physical insight into their materials under test and will be consistently updated for more accurate measurement and interpretation of dielectric spectra in an automated manner. This work describes the theoretical and mathematical background of the software, lays out the workflow, and validates the software functionality based on both synthetic and empirical data included in the software.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001; 20190057DR; 20190653PRD4
OSTI ID:
1887145
Alternate ID(s):
OSTI ID: 1961496
Report Number(s):
LA-UR-21-29438
Journal Information:
Computer Physics Communications, Vol. 282; ISSN 0010-4655
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (67)

Special issue on the use of accurate tissue and body models in RF and MW medical applications journal February 2018
High frequency permittivity and its use in the investigation of solution properties journal January 1991
A program for the fitting of Debye, Cole–Cole, Cole–Davidson, and Havriliak–Negami dispersions to dielectric data journal April 2014
Measurement of Radio Frequency Permittivity of Biological Tissues with an Open-Ended Coaxial Line: Part I journal January 1982
Is There an Anionic Hofmeister Effect on Water Dynamics? Dielectric Spectroscopy of Aqueous Solutions of NaBr, NaI, NaNO 3 , NaClO 4 , and NaSCN journal October 2005
ANA Calibration Method for Measurements of Dielectric Properties journal June 1983
Permittivity Measurements of High Conductivity Specimens using an Open-Ended Coaxial Probe—Measurement Limitations journal December 2004
Molecular association and dynamics in n-pentanol and 2-methyl-2-butanol journal June 1985
Dielectric Relaxation Processes in Ethanol/Water Mixtures journal June 2004
An in-situ conductometric apparatus for physicochemical characterization of solutions and in-line monitoring of separation processes at elevated temperatures and pressures journal February 2022
Dielectric Spectroscopy of Aqueous Solutions of KCl and CsCl journal May 2003
Ion Association and Hydration in Aqueous Solutions of Nickel(II) and Cobalt(II) Sulfate journal September 2005
A new aperture admittance model for open-ended waveguides journal January 1994
Dielectric metrology with coaxial sensors journal March 2007
Dielectric spectra of some common solvents in the microwave region. Dipolar aprotic solvents and amides journal March 1990
Ion association and hydration in 3:2 electrolyte solutions by dielectric spectroscopy: Aluminum sulfate journal November 2007
Hydration and ion association of La 3+ and Eu 3+ salts in aqueous solution journal January 2018
Determination of the Distribution of the Relaxation Times from Dielectric Spectra journal January 2004
An optimal vector-network-analyzer calibration algorithm journal December 2003
Novel Approach to the Analysis of Broadband Dielectric Spectra journal March 1996
What can be learnt from dielectric relaxation spectroscopy about ion solvation and association? journal January 2008
Improved circuit model of open-ended coaxial probe for measurement of the biological tissue dielectric properties between megahertz and gigahertz journal September 2013
Dielectric property measurement of ocular tissues up to 110 GHz using 1 mm coaxial sensor journal August 2015
Dielectric relaxation behaviour of ethyl acetate-xylene mixtures using time domain reflectometry journal March 2020
Open-Ended Coaxial Probe Technique for Dielectric Spectroscopy of Artificially Grown Sea Ice journal August 2016
Open-Ended Coaxial Probe Technique for Dielectric Measurement of Biological Tissues: Challenges and Common Practices journal June 2018
Open-Ended Coaxial Probe: Model Limitations journal September 2008
An Algorithm for Least-Squares Estimation of Nonlinear Parameters journal June 1963
In-line dielectric monitoring during extrusion of filled polymers journal May 2002
Coaxial Line Reflection Methods for Measuring Dielectric Properties of Biological Substances at Radio and Microwave Frequencies-A Review journal January 1980
Quasi-linear least squares and computer code for numerical evaluation of relaxation time distribution from broadband dielectric spectra journal December 2010
On dielectric data analysis. Using the Monte Carlo method to obtain relaxation time distribution and comparing non-linear spectral function fits journal June 2001
Noninvasive electrical characterization of materials at microwave frequencies using an open-ended coaxial line: test of an improved calibration technique journal January 1990
Efficient and accurate full-wave analysis of the open-ended coaxial cable journal July 2001
A review of RF and microwave techniques for dielectric measurements on polar liquids journal August 2006
The use of a continuous relaxation spectrum for describing the viscoelastic properties of polymers journal January 2006
Intercomparison of methods for measurement of dielectric properties of biological tissues with a coaxial sensor at millimeter-wave frequencies journal October 2018
Broadband Dielectric Measurement Methods for Soft Geomaterials: Coaxial Transmission Line Cell and Open-Ended Coaxial Probe journal January 2014
Technique for measuring the frequency‐dependent complex dielectric constants of liquids up to 20 GHz journal September 1989
Analysis of Open-Ended Coaxial Probes by Using a Two-Dimensional Finite-Difference Frequency-Domain Method journal May 2008
Dielectric relaxation spectroscopy of 2-propanol–water mixtures journal March 2003
Dielectric relaxation of neodymium chloride in water and in methanol journal June 2020
Microwave dispersion of some polar liquids journal December 1955
Optimised use of dielectric spectroscopy at microwave frequencies for direct online monitoring of polymerisation reactions journal July 2019
Frequency and Temperature Effect on Dielectric Properties of Acetone and Dimethylformamide journal January 2016
Microwave Absorption and Molecular Structure in Liquids. XV. The Critical Wave Lengths of Some Short-chain Aliphatic and Cyclic Ketones and of Phenyl Ether1 journal April 1956
Electrode polarization in dielectric measurements: a review journal August 2013
Dielectric response and collective dynamics of acetonitrile journal December 2015
Admittance models for open ended coaxial probes and their place in dielectric spectroscopy journal December 1994
Dielectric Relaxation in Nitroalkanes journal December 1969
Dielectric Spectroscopy of Melons for Potential Quality Sensing journal January 2008
Reduction of the contribution of electrode polarization effects in the radiowave dielectric measurements of highly conductive biological cell suspensions journal August 2001
Reference liquids for the calibration of dielectric sensors and measurement instruments journal February 2007
Dielectric Relaxation of 2-Pyrrolidinone and Some N-Substituted, Related Compounds in the Liquid State journal September 1985
Cython: The Best of Both Worlds journal March 2011
The Annular Slot Antenna in a Lossy Biological Medium (Short Papers) journal April 1985
Reflection of an open-ended coaxial line and application to nondestructive measurement of materials journal March 1981
Complex permittivity of sodium chloride solutions at microwave frequencies journal January 2007
Dielectric study of the molecular mobility and the isothermal crystallization kinetics of an amorphous pharmaceutical drug substance journal January 2004
Hydrogen network fluctuations: Dielectric spectra of glycerol–ethanol mixtures journal July 2012
Complexity in “Simple” Electrolyte Solutions:  Ion Pairing in MgSO 4 (aq) journal February 2004
Composition-dependent dynamical structures of 1-propanol–water mixtures determined by dynamical dielectric properties journal December 2000
Complex permittivity of water as a function of frequency and temperature journal October 1989
Validation of a Broadband Tissue-Equivalent Liquid for SAR Measurement and Monitoring of Its Dielectric Properties for Use in a Sealed Phantom journal May 2020
Analysis of an open-ended coaxial probe with lift-off for nondestructive testing journal January 1994
Ion Association and Hydration in Aqueous Solutions of LiCl and Li 2 SO 4 by Dielectric Spectroscopy journal August 2007
Dielectric spectra of some common solvents in the microwave region. Water and lower alcohols journal January 1990