Analysis of Solution Pattern of Natural Frequencies by a Graphical Method

We propose a powerful graphical method for evaluating the natural complex frequencies and amplitudes of the layered structures for their electromagnetic characterization. Its advantage is to show a pattern of the location of the natural complex frequencies so that it would be possible to examine how they can move for a possible error in the measurement system. The method is validated by a two-layered structure by comparing the natural complex frequencies and amplitudes computed by the proposed method and the inverse Fourier transform. It has been applied to monitor the effect of noise in a measurement system.

[1]  T. Sarkar,et al.  Using the matrix pencil method to estimate the parameters of a sum of complex exponentials , 1995 .

[2]  Zubair Akhter,et al.  Free-Space Time Domain Position Insensitive Technique for Simultaneous Measurement of Complex Permittivity and Thickness of Lossy Dielectric Samples , 2016, IEEE Transactions on Instrumentation and Measurement.

[3]  E. Rothwell,et al.  Natural Mode Series Representation of the Transient Field Reflected From an N-Layer Lossy Medium , 2009, IEEE Transactions on Antennas and Propagation.

[4]  E. Rothwell.  Extraction of the Wideband Dielectric Properties of a Material Layer Using Measured Natural Frequencies , 2010, IEEE Transactions on Antennas and Propagation.

[5]  J. Barroso,et al.  Transient Plane-Wave Transmission Through an N-Layer Structure by the Method of Subregions , 2019, IEEE Antennas and Wireless Propagation Letters.

[6]  Tapan K. Sarkar,et al.  A discussion of E-pulse method and Prony's method for radar target resonance retrieval from scattered field , 1988, 1988 IEEE AP-S. International Symposium, Antennas and Propagation.

[7]  U. Hasar,et al.  Temporal Behavior of Plane Waves Within an ${N}$ -Layer Structure by the Ray-Series Method , 2020, IEEE Transactions on Antennas and Propagation.

[8]  Andrew J. Gallant,et al.  Free-Space Permittivity Measurement at Terahertz Frequencies With a Vector Network Analyzer , 2016, IEEE Transactions on Terahertz Science and Technology.

[9]  Lloyd Stephen Riggs.  Singularity Expansion Method , 1985 .

[10]  Zhihong Ma,et al.  Permittivity determination using amplitudes of transmission and reflection coefficients at microwave frequency , 1999 .

[11]  B.T. Perry,et al.  Calculation of the Transient Plane-Wave Reflection From an $N$-Layer Medium by the Method of Subregions , 2007, IEEE Transactions on Antennas and Propagation.

[12]  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.

[13]  E. Rothwell,et al.  Natural Resonance Representation of the Transient Field Reflected by a Conductor-Backed Lossy Layer , 2003 .