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PIERS Online
Vol. 5
No. 3
2009
pp: 241-247Waveform Parameter Estimation and Dispersive Material CharacterizationQingsheng Zeng and Gilles Y. Delisle doi:10.2529/PIERS081021103841 Downloads: 351 Abstract:The reflection of short duration electromagnetic pulses from dielectric media is of interest in diverse technological applications, e.g., geophysics, material science and biomedical engineering. In this paper, the time domain pulse reflection from a dispersive lossy dielectric half space is investigated. The properties of a half space are described in frequency domain by the Debye and Cole-Cole models, respectively. The two models are commonly used to capture the relaxation-based dispersive properties. First, transient reflected pulses are analyzed and waveform parameters are estimated. Then, based on the estimation, the relationships between the waveform parameters of reflected pulses and the properties of dispersive material as well as incident angles are discussed. Meanwhile, the results obtained with the Debye model are compared to those obtained with the Cole-Cole model. The application of these results to material characterization and diagnosis is explored. There is excellent agreement between our results and those in the literature, which validates the correctness and effectiveness of this work. Our technique is based on the numerical inversion of the Laplace transform, leads to good accuracy, and has a simple algorithm, short calculation time, small required memory size, readily controlled error and wide range of applicability.References:1. Debye, P., Polar Molecules, Chemical Catalogue Company, New York, 1929. 2. Cole, K. S. and R. H. Cole, "Dispersion and absorption in dielectrics," J. Chemical Phys., Vol. 9, No. 4, 341-351, Apr., 1941. 3. Rothwell, E. J., "Plane-wave impulse response of a Debye half space," Electromagnetics, Vol. 27, No. 4, 195-206, May, 2007. 4. Hosono, T., "Numerical inversion of Laplace transform and some applications to wave optics," Radio Sci., Vol. 16, No. 6, 1015-1019, Nov.-Dec.. 1981 5. Bromwich, T. J., An Introduction to the Theory of In¯nite Series, 53-66, Chapter III, 2nd ed., Macmillan, London, U.K., 1926. 6. Rothwell, E. J. and M. J. Cloud, Electromagnetics, 225, Boca Raton, FL, CRC Press, FL, 2001. |
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