Broadband Reflectometry: Theoretical Background

In this chapter, the basic approaches of broadband microwave reflectometry are described in detail. More specifically, time domain reflectometry (TDR) and frequency domain reflectometry (FDR) are presented and the involved instrumentation is fully described. Successively, the FDR/TDR combined approach is described in detail: this approach can help exploit the benefits of both TDR and FDR, without necessarily employing two different measurement setups. Additionally, since the sensing element (or probe) plays a major role in all the aforementioned approaches, a comprehensive description of its design and of the corresponding performance is given. Finally, the basic principles leading to the possibilities of enhancing accuracy in BMR measurements are presented.

[1]  Luca Callegaro,et al.  The metrology of electrical impedance at high frequency: a review , 2009 .

[2]  Luciano Tarricone,et al.  A Noninvasive Resonance-Based Method for Moisture Content Evaluation Through Microstrip Antennas , 2009, IEEE Transactions on Instrumentation and Measurement.

[3]  Willem Bouten,et al.  Accuracy of frequency domain analysis scenarios for the determination of complex dielectric permittivity , 2004 .

[4]  Lutz Weihermüller,et al.  Accuracy of Bulk Electrical Conductivity Measurements with Time Domain Reflectometry , 2008 .

[5]  Mohamed Ahmed Abou-Khousa,et al.  Novel and Simple High-Frequency Single-Port Vector Network Analyzer , 2010, IEEE Transactions on Instrumentation and Measurement.

[6]  J. Letosa,et al.  Direct deconvolution signal in time domain reflectometry , 1995 .

[7]  Tammo S. Steenhuis,et al.  Noninvasive Time Domain Reflectometry Moisture Measurement Probe , 1993 .

[8]  James E. Ayars,et al.  Frequency dependence of the complex permittivity and its impact on dielectric sensor calibration in soils , 2005 .

[9]  Luca Catarinucci,et al.  A frequency-domain method for extending TDR performance in quality determination of fluids , 2007 .

[10]  Scott B. Jones,et al.  Standardizing Characterization of Electromagnetic Water Content Sensors: Part 1. Methodology , 2005 .

[11]  Dennis Timlin,et al.  Comparison of Three Methods to Obtain the Apparent Dielectric Constant from Time Domain Reflectometry Wave Traces , 1996 .

[12]  Luca Catarinucci,et al.  Assessment of a TD-Based Method for Characterization of Antennas , 2009, IEEE Transactions on Instrumentation and Measurement.

[13]  James A. R. Ball.  Characteristic impedance of unbalanced TDR probes , 2002, IEEE Trans. Instrum. Meas..

[14]  D. Or,et al.  Time domain reflectometry measurement principles and applications , 2002 .

[15]  Emanuele Piuzzi,et al.  An Improved Reflectometric Method for Soil Moisture Measurement Exploiting an Innovative Triple-Short Calibration , 2010, IEEE Transactions on Instrumentation and Measurement.

[16]  D. Ballo.  APPLYING ERROR CORRECTION TO NETWORK ANALYZER MEASUREMENTS , 1998 .

[17]  Dani Or,et al.  Frequency analysis of time-domain reflectometry (TDR) with application to dielectric spectroscopy of soil constituents , 1999 .

[18]  A. M. Nicolson.  Forming the fast Fourier transform of a step response in time-domain metrology , 1973 .

[19]  Vincent P. Drnevich,et al.  Theoretical model of a multisection time domain reflectometry measurement system , 1999 .

[20]  S. Rapuano,et al.  An introduction to FFT and time domain windows , 2007, IEEE Instrumentation & Measurement Magazine.

[21]  Timo J. Heimovaara,et al.  Frequency domain analysis of time domain reflectometry waveforms: 1. Measurement of the complex dielectric permittivity of soils , 1994 .

[22]  Jie Jun,et al.  Time Domain Analysis Using a Network Analyzer , 2010 .

[23]  S. Standard.  GUIDE TO THE EXPRESSION OF UNCERTAINTY IN MEASUREMENT , 2006 .

[24]  David G. Chandler,et al.  Improved Interpretation of Water Content Reflectometer Measurements in Soils , 2005 .

[25]  Harihar Rajaram,et al.  Performance of different types of time domain reflectometry probes for water content measurement in partially saturated rocks , 2006 .

[26]  Andrea Cataldo,et al.  Metrological assessment of TDR performance for moisture evaluation in granular materials , 2009 .

[27]  S. Zegelin,et al.  Improved field probes for soil water content and electrical conductivity measurement using time domain reflectometry , 1989 .

[28]  B. Oswald,et al.  A Single‐Rod Probe for Time Domain Reflectometry Measurements of the Water Content , 2004 .

[29]  S. Jones,et al.  A Review of Advances in Dielectric and Electrical Conductivity Measurement in Soils Using Time Domain Reflectometry , 2003 .

[30]  Scott B. Jones,et al.  Frequency Domain Analysis for Extending Time Domain Reflectometry Water Content Measurement in Highly Saline Soils , 2004 .

[31]  Scott B. Jones,et al.  Standardizing Characterization of Electromagnetic Water Content Sensors: Part 2. Evaluation of Seven Sensing Systems , 2005 .

[32]  Willem Bouten,et al.  Obtaining the Spatial Distribution of Water Content along a TDR Probe Using the SCEM‐UA Bayesian Inverse Modeling Scheme , 2004 .

[33]  Marcel G. Schaap,et al.  On the effective measurement frequency of time domain reflectometry in dispersive and nonconductive dielectric materials , 2005 .

[34]  Luca Catarinucci,et al.  A Combined TD–FD Method for Enhanced Reflectometry Measurements in Liquid Quality Monitoring , 2009, IEEE Transactions on Instrumentation and Measurement.

[35]  Willem Bouten,et al.  Frequency domain analysis of time domain reflectometry waveforms: 2. A four‐component complex dielectric mixing model for soils , 1994 .

[36]  Chaikool Patamaporn,et al.  一つの横方向ディザー走査型トンネル顕微鏡(STM)チップおよび規則的結晶格子を用いる二次元原子エンコーダー , 2009 .