volume | PIER Journals

Abstract

A simple, closed-form expression for the time-domain reflection coefficient for a pulsed TE10-mode wave incident on a dielectric material discontinuity in a rectangular waveguide is presented. This formula may be used to represent the transient field reflected or transmitted by a dielectric-filled waveguide section, which is useful in material characterization routines. An exponential function approximation to the reflection coefficient is presented, and the formula is validated both numerically and experimentally.

1. Elliott, R. S., "Pulse waveform degradation due to dispersion in waveguide," IRE Trans. Microwave Theory Tech., Vol. 5, No. 4, 254-257, October 1957.
doi:10.1109/TMTT.1957.1125161 Google Scholar

2. Klapka, J. L., "Influence of wall losses on energy flow center velocity of pulses in waveguides," IEEE Trans. Microwave Theory Tech., Vol. 18, No. 10, 689-696, October 1970.
doi:10.1109/TMTT.1970.1127331 Google Scholar

3. Giakos, G. C. and T. K. Ishii, "Rapid pulsed microwave propagation," IEEE Microwave and Guided Wave Lett., Vol. 1, No. 12, 374-375, December 1991.
doi:10.1109/75.103855 Google Scholar

4. Kristensson, G., "Transient electromagnetic wave propagation in waveguides," Journal of Electromagnetic Waves and Applications, Vol. 9, No. 5-6, 645-671, 1995.
doi:10.1163/156939395X00866 Google Scholar

5. Kralj, D., L. Mei, T. T. Hsu, and L. Carin, "Short-pulse propagation in a hollow waveguide: Analysis, optoelectronic measurement, and signal processing," IEEE Trans. Microwave Theory Tech., Vol. 43, No. 9, 2144-2150, September 1995.
doi:10.1109/22.414552 Google Scholar

6. Stenius, P. and B. York, "On the propagation of transients in waveguides," IEEE Ant. Propagat. Mag., Vol. 37, No. 2, 39-44, April 1995.
doi:10.1109/74.382337 Google Scholar

7. Dvorak, S. L., "Exact, closed-form expressions for transient fields in homogeneously filled waveguides," IEEE Trans. Microwave Theory Tech., Vol. 42, No. 11, 2164-2170, November 2004.
doi:10.1109/22.330133 Google Scholar

8. Omar, A. S. and A. H. Kamel, "Frequency- and time-domain expressions for transfer functions and impulse responses related to the waveguide propagation," IEE Proc. Antennas Propagat., Vol. 151, No. 1, 21-25, February 2004.
doi:10.1049/ip-map:20040251 Google Scholar

9. Bernekorn, P., A. Karlsson, and G. Kristensson, "Propagation of transient electromagnetic waves in inhomogeneous and dispersive waveguides," Journal of Electromagnetic Waves and Applications, Vol. 10, No. 9, 1263-1286, 1996.
doi:10.1163/156939396X00702 Google Scholar

10. Thirios, E. C., D. I. Kaklamani, and N. K. Uzunoglu, "Pulse compression using a periodically loaded dispersive waveguide," Progress In Electromagnetics Research, PIER 48, 301-333, 2004. Google Scholar

11. Norgren, M. and S. He, "Reconstruction of the constitutive parameters for an Ω material in a rectangular waveguide," IEEE Trans. Microwave Theory Tech., Vol. 43, No. 6, 1315-1321, June 1995.
doi:10.1109/22.390189 Google Scholar

12. Gupta, S., A. Bhattacharya, K. S. Ranga Rao, and A. Chakrabarty, "A simple method for measuring the dielectric constant of solids," IEEE Trans. Instrument. and Meas., Vol. 49, No. 1, 66-70, February 2000.
doi:10.1109/19.836311 Google Scholar

13. Wang, Y. and M. N. Asfar, "Measurement of complex permittivity of liquids using waveguide techniques," Progress In Electromagnetics Research, PIER 42, 131-142, 2003. Google Scholar

14. Challa, R. K., D. Kajfez, J. R. Gladden, and A. Z. Elsherbeni, "Permittivity measurement with a non-standard waveguide by using TRL calibration and fractional linear data fitting," Progress In Electromagnetics Research B, Vol. 2, 1-13, 2008.
doi:10.2528/PIERB07102001 Google Scholar

15. Hasar, U. C., "Thickness-independent automated constitutive parameters extraction of thin solid and liquid materials from waveguide measurements," Progress In Electromagnetics Research, PIER 92, 17-32, 2009. Google Scholar

16. Moradi, G. and A. Abdipour, "Measuring the permittivity of dielectric materials using STDR approach," Progress In Electromagnetics Research, PIER 77, 357-365, 2007. Google Scholar

17. Butrym, A., Y., Y. Zheng, and O. A. Tretyakov, "Transient diffraction on a permittivity step in a waveguide: Closed-form solution in time domain," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 7, 861-876, 2004.
doi:10.1163/156939304323105709 Google Scholar

18. Butrym, A. Y. and M. N. Legenkiy, "Charge transport by a pulse E-wave in a waveguide with conductive medium," Progress In Electromagnetic Research B, Vol. 15, 325-346, 2009.
doi:10.2528/PIERB09050703 Google Scholar

19. Emig, T., "Propagation of an electromagnetic pulse through a waveguide with a barrier: A time domain solution within classical electrodynamics," Phys. Rev. E, Vol. 54, No. 5, 5780-5787, November 1996.
doi:10.1103/PhysRevE.54.5780 Google Scholar

20. Ramo, S., J. R. Whinnery, and T. Van Duzer, Fields and Waves in Communications Electronics, 3rd edition, Wiley, 1994.

21. Campbell, G. A. and R. M. Foster, Fourier Integrals for Practical Applications, 2nd edition, D. Van Nostrand Co., 1951.

22. Abramowitz , M. and I. S. Stegun, Handbook of Mathematical Functions, Dover, 1965.

23. Zhang, S. J. and J. Jin, Computation of Special Functions, John Wiley & Sons, 1996.

24. Rothwell, E. J., "Exponential approximations of the Bessel functions I₀(x), I₁(x), J₀(x), J₁(x), Y₀(x) and H₀(x), with application to electromagnetic scattering, radiation, and diffraction," IEEE Antennas Prop. Mag., Vol. 51, No. 3, 138-147, 2009.
doi:10.1109/MAP.2009.5251217 Google Scholar

Professor Edward J. Rothwell

Dr. Andrew K. Temme

Mr. Benjamin R. Crowgey