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Progress In Electromagnetics Research
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TIME-DOMAIN THEORY OF METAL CAVITY RESONATOR

By G. Wen

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Abstract:
This paper presents a thorough study of the time-domain theory of metal cavity resonators. The completeness of the vector modal functions of a perfectly conducting metal cavity is first proved by symmetric operator theory, and analytic solution for the field distribution inside the cavity excited by an arbitrary source is then obtained in terms of the vector modal functions. The main focus of the present paper is the time-domain theory of a waveguide cavity, for which the excitation problem may be reduced to the solution of a number of modified Klein-Gordon equations. These modified Klein- Gordon equation are then solved by the method of retarded Green's function in order that the causality condition is satisfied. Numerical examples are also presented to demonstrate the time-domain theory. The analysis indicates that the time-domain theory is capable of providing an exact picture for the physical process inside a closed cavity and can overcome some serious problems that may arise in traditional time-harmonic theory due to the lack of causality.

Citation:
G. Wen, "Time-domain theory of metal cavity resonator," Progress In Electromagnetics Research, Vol. 78, 219-253, 2008.
doi:10.2528/PIER07090605
http://www.jpier.org/PIER/pier.php?paper=07090605

References:
1. Kurokawa, K., An Introduction to the Theory of Microwave Circuits, Academic Press, New York, 1969.

2. Goubau, G. (ed.), Electromagnetic Waveguides and Cavities, Pergmon, London, 1961.

3. Collin, R. E., Foundations for Microwave Engineering, 2nd edition, IEEE Press, 2001.

4. Aksoy, S. and O. A. Tretyakov, "The evolution equations in study of the cavity oscillations excited by a digital signal," IEEE Trans. Antennas and Propagation, Vol. 52, No. 1, 263-270, 2004.
doi:10.1109/TAP.2003.822399

5. Bladel, J. V., Electromagnetic Fields, 1st edition, Hemisphere Publishing Corporation, 1985.

6. Geyi, W., "A time-domain theory of waveguide," Progress In Electromagnetics Research, Vol. 59, 267-297, 2006.
doi:10.2528/PIER05102102

7. Zeidler, E., Applied Functional Analysis-Applications to Mathematical Physics, Springer-Verlag, 1995.

8. Byron, F. W. and R. W. Fuller, Mathematics of Classical and Quantum Physics, Addison-Wesley, 1969.

9. Colton, D. and R. Kress, Integral Equation Methods in Scattering Theory, John Wiley, 1983.

10. Harrington, R. F., Time-Harmonic Electromagnetic Fields, McGraw-Hill Book Company, Inc., 1961.

11. Grandshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York, 1994.

12. Marcuvitz, N., Waveguide Handbook, McGraw-Hill, 1951.

13. Bopp, III, C. L. and C. M. Butler, "Analysis of transmission of a signal through a complex cylindrical/coaxial cavity by transmission line methods," Progress In Electromagnetics Research, Vol. 56, 33-51, 2006.
doi:10.2528/PIER05041403

14. Mohsen, A. A., E. M. Elkaramany, and F. G. A. El-Hadeed, "Analysis of microwave cavities using LTL-FD method," J. of Electromagn. Waves and Appl., Vol. 19, No. 2, 145-162, 2005.
doi:10.1163/1569393054497320

15. Yang, D., C. Liao, and W. Chen, "Numerical solution on coupling of UWB pulse into a rectangular cavity through slots," J. of Electromagn. Waves and Appl., Vol. 19, No. 12, 1629-1638, 2005.
doi:10.1163/156939305775537375

16. Kim, J. H. and H. J. Eom, "Radiation from multiple annular slots on a circular cylindrical cavity," J. of Electromagn. Waves and Appl., Vol. 21, No. 1, 47-56, 2007.
doi:10.1163/156939307779391713

17. Xiao, J.-K., W.-S. Ji, S. Zhang, and Y. Li, "A field theoretical method for analyzing microwave cavity with arbitrary crosssection," J. of Electromagn. Waves and Appl., Vol. 20, No. 4, 435-446, 2006.
doi:10.1163/156939306776117054

18. Zhang, J.-P. and K.-M. Chen, "Mode matching analysis of the induced electric field in a material sample placed within an energized cylindrical cavity," Progress In Electromagnetics Research, Vol. 28, 295-311, 2000.
doi:10.2528/PIER99090102

19. Van Rienen, U., "Frequency domain analysis of waveguide and resonator with fit on non-orthogonal triangular grids," Progress In Electromagnetics Research, Vol. 32, 357-381, 2001.
doi:10.2528/PIER00080114

20. Wang, C.-F., Y. Xu, and Y.-B. Gan, "3-dimnensional implementation of the field iterative method for cavity modeling," Progress In Electromagnetics Research, Vol. 47, 27-47, 2004.
doi:10.2528/PIER03081401


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