Accurate Complex Permittivity Inversion From Measurements of a Sample Partially Filling a Waveguide Aperture

In this paper, we propose a microwave method, which eliminates the necessity of precise knowledge of sample thickness for accurate permittivity determination of thin materials partially filling the waveguide aperture. The method utilizes propagation constant measurements at two different frequencies for this goal. To facilitate the proposed method for dispersive and nondispersive dielectric materials, we have employed a power series representation of the complex permittivity. We have validated the proposed method from permittivity measurements of prepared thin samples by different methods. We have also noted that the accuracy of the proposed method can be increased by the enhancements in the measurement accuracy of conventional methods, which require complete sample filling into the waveguide aperture.

[1]  Ugur Cem Hasar,et al.  ELIMINATION OF THE MULTIPLE-SOLUTIONS AMBIGUITY IN PERMITTIVITY EXTRACTION FROM TRANSMISSION-ONLY MEASUREMENTS OF LOSSY MATERIALS , 2009 .

[2]  U. Hasar A microcontroller-based microwave free-space measurement system for permittivity determination of lossy liquid materials. , 2009, The Review of scientific instruments.

[3]  U. Hasar Two novel amplitude-only methods for complex permittivity determination of medium- and low-loss materials , 2008 .

[4]  P. Domich,et al.  Analysis of an open-ended coaxial probe with lift-off for nondestructive testing , 1994 .

[5]  Mansor Nakhkash,et al.  Characterisation of layered dielectric medium using reflection coefficient , 1998 .

[6]  Jian Li,et al.  Wideband Reference-Plane Invariant Method for Measuring Electromagnetic Parameters of Materials , 2010, IEEE Transactions on Microwave Theory and Techniques.

[7]  Boon-Kuan Chung,et al.  Dielectric Constant Measurement for Thin Material at Microwave Frequencies , 2007 .

[8]  Cristiano Riminesi,et al.  Thickness-independent measurement of the permittivity of thin samples in the X band , 2002 .

[9]  Manfred Thumm,et al.  A Closed-Form Solution for Reconstruction of Permittivity of Dielectric Slabs Placed at the Center of a Rectangular Waveguide , 2007, IEEE Geoscience and Remote Sensing Letters.

[10]  C. P. L. Rubinger,et al.  Building a resonant cavity for the measurement of microwave dielectric permittivity of high loss materials , 2007 .

[11]  Kai Meng Hock Error correction for diffraction and multiple scattering in free-space microwave measurement of materials , 2006, IEEE Transactions on Microwave Theory and Techniques.

[12]  M. Stuchly,et al.  Modified transmission-reflection method for measuring constitutive parameters of thin flexible high-loss materials , 2003 .

[13]  Soon Yim Tan,et al.  An Improved Method for Microwave Nondestructive Dielectric Measurement of Layered Media , 2008 .

[14]  U. Hasar A New Calibration-Independent Method for Complex Permittivity Extraction of Solid Dielectric Materials , 2008, IEEE Microwave and Wireless Components Letters.

[15]  C. Balanis Advanced Engineering Electromagnetics , 1989 .

[16]  U. Hasar,et al.  A calibration-independent microwave method for position-insensitive and nonsingular dielectric measurements of solid materials , 2009 .

[17]  A. M. Nicolson,et al.  Measurement of the Intrinsic Properties of Materials by Time-Domain Techniques , 1970 .

[18]  U. Hasar A Fast and Accurate Amplitude-Only Transmission-Reflection Method for Complex Permittivity Determination of Lossy Materials , 2008, IEEE Transactions on Microwave Theory and Techniques.

[19]  R. Harrington Time-Harmonic Electromagnetic Fields , 1961 .

[20]  U. Hasar Simple calibration plane-invariant method for complex permittivity determination of dispersive and non-dispersive low-loss materials , 2009 .

[21]  Jose M. Catala-Civera,et al.  Accurate determination of the complex permittivity of materials with transmission reflection measurements in partially filled rectangular waveguides , 2003 .

[22]  C. P. Neo,et al.  Microwave Electronics: Measurement and Materials Characterization , 2004 .

[23]  D. Pozar Microwave Engineering , 1990 .

[24]  M. Decréton,et al.  Simple Nondestructive Method for the Measurement of Complex Permittivity , 1974 .

[25]  Reza Zoughi,et al.  Microwave non-destructive testing and evaluation , 2000 .

[26]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[27]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[28]  Von Hippel,et al.  Dielectric materials and applications : papers by twenty-two contributors , 1954 .

[29]  W. P. Ayres,et al.  Propagation in Dielectric Slab Loaded Rectangular Waveguide , 1958 .

[30]  G. F. Engen,et al.  Thru-Reflect-Line: An Improved Technique for Calibrating the Dual Six-Port Automatic Network Analyzer , 1979 .

[31]  U. Hasar A Generalized Formulation for Permittivity Extraction of Low-to-High-Loss Materials From Transmission Measurement , 2010, IEEE Transactions on Microwave Theory and Techniques.

[32]  U. Hasar,et al.  AN ACCURATE COMPLEX PERMITTIVITY METHOD FOR THIN DIELECTRIC MATERIALS , 2009 .

[33]  R. Collin Field theory of guided waves , 1960 .

[34]  U. Hasar Thickness-Independent Automated Constitutive Parameters Extraction of Thin Solid and Liquid Materials from Waveguide Measurements , 2009 .

[35]  Jose M. Catala-Civera,et al.  Determination of the permittivity and permeability for waveguides partially loaded with isotropic samples , 2005 .

[36]  M. Thumm,et al.  Noninvasive Procedure for Measuring the Complex Permittivity of Resins, Catalysts, and Other Liquids Using a Partially Filled Rectangular Waveguide Structure , 2009, IEEE Transactions on Microwave Theory and Techniques.

[37]  A. Hippel,et al.  Dielectric Materials and Applications , 1995 .

[38]  C. Westgate,et al.  A Broadband and Stable Method for Unique Complex Permittivity Determination of Low-Loss Materials , 2009, IEEE Transactions on Microwave Theory and Techniques.

[39]  Kamal Sarabandi,et al.  Technique for measuring the dielectric constant of thin materials , 1988 .

[40]  Paul D. Domich,et al.  A nonlinear least-squares solution with causality constraints applied to transmission line permittivity and permeability determination , 1992 .

[41]  B. Chung,et al.  A convenient method for complex permittivity measurement of thin materials at microwave frequencies , 2006 .

[42]  U.C. Hasar A New Microwave Method for Electrical Characterization of Low-Loss Materials , 2009, IEEE Microwave and Wireless Components Letters.

[43]  W. Marsden I and J , 2012 .

[44]  Maode Niu,et al.  A frequency-varying method for simultaneous measurement of complex permittivity and permeability with an open-ended coaxial probe , 1998 .

[45]  L. J. Buckley,et al.  Dielectric material measurement of thin samples at millimeter wavelengths , 1992 .

[46]  Ryusuke Nozaki,et al.  Broadband complex permittivity measurement techniques of materials with thin configuration at microwave frequencies , 2005 .

[47]  W. Weir Automatic measurement of complex dielectric constant and permeability at microwave frequencies , 1974 .

[48]  E. J. Vanzura,et al.  Improved technique for determining complex permittivity with the transmission/reflection method , 1990 .

[49]  V. Varadan,et al.  Free-space measurement of complex permittivity and complex permeability of magnetic materials at microwave frequencies , 1990 .

[50]  U. Hasar,et al.  Elimination of the dependency of the calibration plane and the sample thickness from complex permittivity measurements of thin materials , 2009 .