volume | PIER Journals

Abstract

The transmission line techniques are generalized to measure the permittivity function of one-dimensional inhomogeneous dielectrics. A rectangular waveguide is used and the dielectric slab under test is placed at the input flange of it. Then the measured scattering parameters or the short-circuited reflection coefficient are used to extract the permittivity function of dielectric. To solve the problem an optimization-based procedure is used. The usefulness of the proposed method is verified using a comprehensive example.

1. Nyfors, E. and P. Vainikainen, Industrial Microwave Sensors, Chapter 2, 1989.

2. Qian, C. and W. B. Dou, "A new approach for measuring permittivity of dielectric materials," Journal Electromagnetic Waves and Applications, Vol. 19, No. 6, 795-810, 2005.
doi:10.1163/1569393054069055 Google Scholar

3. Courtney, W. E., "Analysis and evaluation of a method of measuring the complex permittivity and permeability of microwave insulators," IEEE Trans. Microwave Theory Tech., Vol. MTT-18, No. 8, 476-485, 1970.
doi:10.1109/TMTT.1970.1127271 Google Scholar

4. Bindu, G., A. Lonappan, V. Thomas, et al. "Dielectric studies of corn syrup for applications in microwave breast imaging," Progress In Electromagnetics Research, Vol. 59, 175-186, 2006.
doi:10.2528/PIER05072801 Google Scholar

5. Trabelsi, S., A. W. Kraszewski, and S. O. Nelson, "Nondestructive microwave characterisation for bulk density and moisture content determination in shelled corn," Meas. Sci. &Technol., Vol. 9, 570-578, 1998.
doi:10.1088/0957-0233/9/4/003 Google Scholar

6. Weir, W. B., "Automatic measurements of complex dielectric constant and permeability at microwave frequencies," IEEE Proceedings, Vol. 62, No. 1, 33-36, 1974.

7. Backer, J. and R. Geyer, "A nonlinear least-squares solution with causality constraints applied to transmission line permittivity and permeability determination," IEEE Trans. Instrum. Meas., Vol. 41, No. 10, 646-652, 1992.
doi:10.1109/19.177336 Google Scholar

8. Huang, R. F. and D. M. Zhang, "Application of mode matching method to analysis of axisymmetric coaxial discontinuity structures used in permeability and/or permittivity measurement," Progress In Electromagnetics Research, Vol. 67, 205-230, 2007.
doi:10.2528/PIER06083103 Google Scholar

9. Chung, B. K., "Dielectric constant measurement for thin material at microwave frequencies," Progress In Electromagnetics Research, Vol. 75, 239-252, 2007.
doi:10.2528/PIER07052801 Google Scholar

10. Semnani, A. and M. Kamyab, "An enhanced method for inverse scattering problems using Fourier series expansion in conjunction with FDTD and PSO," Progress In Electromagnetics Research, Vol. 76, 45-64, 2007.
doi:10.2528/PIER07061204 Google Scholar

11. Khalaj-Amirhosseini, M., "Analysis of longitudinally inhomogeneous waveguides using finite difference method," Int. Conf. on Inform. and Comm. Tech.: from Theory to Appl. (ICTTA 2006), 24-28, 2006. Google Scholar

12. Khalaj-Amirhosseini, M., "Analysis of longitudinally inhomogeneous waveguides using Taylor's series expansion," J. of Electromagn. Waves and Appl., Vol. 20, No. 8, 1093-1100, 2006.
doi:10.1163/156939306776930286 Google Scholar

13. Khalaj-Amirhosseini, M., "Analysis of longitudinally inhomogeneous waveguides using the Fourier series expansion," J. of Electromagn. Waves and Appl., Vol. 20, No. 10, 1299-1310, 2006.
doi:10.1163/156939306779276758 Google Scholar

14. Khalaj-Amirhosseini, M., "Analysis of longitudinally inhomogeneous waveguides using the method of moments," Progress In Electromagnetics Research, Vol. 74, 57-67, 2007.
doi:10.2528/PIER07042101 Google Scholar

Dr. Mohammad Khalaj-Amirhosseini