An improved modeling of TDR signal propagation for measuring complex dielectric permittivity

Chih-Ping Lin , Shr-Hong Tang , Chun-Hung Lin , Chih-Chung Chung

Journal of Earth Science ›› 2015, Vol. 26 ›› Issue (6) : 827 -834.

PDF
Journal of Earth Science ›› 2015, Vol. 26 ›› Issue (6) : 827 -834. DOI: 10.1007/s12583-015-0599-7
Article

An improved modeling of TDR signal propagation for measuring complex dielectric permittivity

Author information +
History +
PDF

Abstract

Time domain reflectometry (TDR) is a measurement technique based upon transmission line theory. The solutions of transmission line equations are reformulated in terms of independent physical properties, instead of coupled per-unit-length circuit parameters. The complete TDR response is effectively modeled by a non-uniform transmission line using the non-recursive ABCD matrix approach. Approaches to calibrate line parameters and perform TDR measurements based upon such model are introduced with an example on dielectric spectroscopy. TDR modeling in terms of decoupled physical parameters and non-recursive algorithm allows more convenient calibration of line parameters and facilitates interpretation of TDR measurements.

Keywords

time domain reflectometry / transmission line theory / transmission line measurements / dielectric measurements / spectroscopy / soil measurements

Cite this article

Download citation ▾
Chih-Ping Lin, Shr-Hong Tang, Chun-Hung Lin, Chih-Chung Chung. An improved modeling of TDR signal propagation for measuring complex dielectric permittivity. Journal of Earth Science, 2015, 26(6): 827-834 DOI:10.1007/s12583-015-0599-7

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Bolvin H., Chambarel A. Electromagnetic Wave Propagation in Polarizable Wet Media: Application to a TDR Probe. Measurement Science and Technology, 2007, 18: 1105-1109.

[2]

Cataldo A., Catarinucci L., Tarricone L., . A Combined TD-FD Method for Enhanced Reflectometry Measurements in Liquid Quality Monitoring. IEEE Transactions on Instrumentation and Measurement, 2009, 58(10): 3534-3543.

[3]

Cataldo A., Tarricone L., Attivissimo F., . A TDR Method for Real-time Monitoring of Liquids. IEEE Transactions on Instrumentation and Measurement, 2007, 56(6): 1616-1625.

[4]

Cataldo A., Tarricone L., Attivissimo F., . Simultaneous Measurement of Dielectric Properties and Levels of Liquids Using a TDR Method. Measurement, 2008, 41(3): 307-319.

[5]

Cataldo A., Tarricone L., Vallone M., . Uncertainty Estimation in Simultaneous Measurements of Levels and Permittivities of Liquids Using TDR Technique. IEEE Transactions on Instrumentation and Measurement, 2008, 57(3): 454-466.

[6]

Claerbout J. Fundamentals of Geophysical Data Processing, 1976 New York: McGraw-Hill

[7]

Clarkson T. S., Glasser L., Tuxworth R. W., . An Appreciation of Experimental Factors in Time-Domain Spectroscopy. Advances in Molecular Relaxation Processes, 1977, 10(3): 173-202.

[8]

Di Sante R. Time Domain Reflectometry-Based Liquid Level Sensor. Review of Scientific Instruments, 2005, 76 9 095107

[9]

Dowding C. H., Su M. B., O’Connor K. M. Principles of Time Domain Reflectometometry Applied to Measurement of Rock Mass Deformation. International Journal of Rock Mechanics & Mining Sciences, 1988, 25(5): 287-297.

[10]

Dowding C. H., Summers J. A., Taflove A., . Electromagnetic Wave Propagation Model for Differentiation of Geotechnical Disturbances along Buried Cables. Geotechnical Testing Journal, 2002, 25(4): 449-458.

[11]

Feng W., Lin C.-P., Deschamps R. J., . Theoretical Model of a Multisection Time Domain Reflectometry Measurement System. Water Resources Research, 1999, 35(8): 2321-2331.

[12]

Friel R., Or D. Frequency Analysis of Time-Domain Reflectometry (TDR) with Application to Dielectric Spectroscopy of Soil Constituents. Geophysics, 1999, 64(3): 707-718.

[13]

Gorriti A. G., Slob E. C. A New Tool for Accurate S-Parameters Measurements and Permittivity Reconstruction. IEEE Transactions on Geoscience and Remote Sensing, 2005, 43(8): 1727-1735.

[14]

Heimovaara T. J. Frequency Domain Analysis of Time Domain Reflectometry Waveforms: 1. Measurement of the Complex Dielectric Permittivity of Soils. Water Resources Research, 1994, 30(2): 189-199.

[15]

Klein L. A., Swift C. T. An Improved Model for the Dielectric Constant of Sea Water at Microwave Frequencies. IEEE Transactions on Antennas and Propagation, 1977, 25(1): 104-111.

[16]

Water Resources Research, 2003, 39 1

[17]

Lin C.-P., Chung C.-C., Tang S. H. Accurate Time Domain Reflectometry Measurement of Electrical Conductivity Accounting for Cable Resistance and Recording Time. Soil Science Society of America Journal, 2007, 71(4): 1278-1287.

[18]

Lin C.-P., Tang S.-H. Comprehensive Wave Propagation Model to Improve TDR Interpretations for Geotechnical Applications. Geotechnical Testing Journal, 2007, 30(2): 90-97.

[19]

Lin C.-P., Tang S.-H., Lin W.-C., . Quantification of Cable Deformation with TDR: Implications to Localized Shear Deformation Monitoring. Journal of Geotechnical and Geoenvironmental Engineering, 2009, 135(1): 143-152.

[20]

Lin M. W., Thaduri J., Abatan A. O. Development of an Electrical Time Domain Reflectometry (ETDR) Distributed Strain Sensor. Measurement Science and Technology, 2005, 16(7): 1495-1505.

[21]

Nemarich C. P. Time Domain Reflectometry Liquid Level Sensors. IEEE Transactions on Instrumentation and Measurement, 2001, 4(4): 40-44.

[22]

Paul C. R. Analysis of Multi-Conductor Transmission Lines, 1994 New York: John Wiley

[23]

Protonotarios E. N., Wing O. Analysis and Intrinsic Properties of the General Non-Uniform Transmission Line. IEEE Transactions on Microwave Theory and Techniques, 1967, 15: 142-150.

[24]

Ramo S., Whinnery J. R., Van Duzer T. Fields and Waves in Communication Electronics, 1994, 3 New York: John Wiley

[25]

Topp G. C., Davis J. L., Annan A. P. Electromagnetic Determination of Soil Water Content and Electrical Conductivity Measurement Using Time Domain Reflectometry. Water Resources Research, 1980, 16(3): 574-582.

[26]

Yanuka M., Topp G. C., Zegelin S., . Multiple Reflection and Attenuation of Time Domain Reflectometry Pulses: Theoretical Considerations for Applications to Soil and Water. Water Resources Research, 1988, 24(7): 939-944.

AI Summary AI Mindmap
PDF

129

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/