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2005-09-16
Hybrid Radiationb Modes of Microwave Integrated Circuit (MIC) Lines-Theory and Application
By
, Vol. 56, 299-322, 2006
Abstract
Spectral domain approach for continuous spectrum of wide class of microwave integrated circuit (MIC) lines is proposed. The continuous spectrum is treated as a continuum of so called hybrid radiation modes. They are the limits of volume modes of line in which lower and/or upper shieldings are moved to infinity. In the preliminary part of analysis a convenient classification of MIC lines into one-side opened and two-sides opened lines is introduced. The spectral domain representation of hybrid radiation modes is discussed in detail and boundary conditions for visible and invisible parts of spectrum are formulated. The normalization conditions in spectral domain are also proposed for both classes of lines. In the next part of paper an iterative approach in spectral domain is proposed for hr modes of one-side opened line. The boundary conditions for hybrid radiation modes are combined with spectral domain approach and the second order equation is formulated for unknown spectral amplitudes of electric or magnetic fields in visible part of spectrum. Two schemes of iteration are presented and they both lead to solutions classified as hybrid EH(y) and HE(y) modes. In the case of two-sides opened lines the solution is a sum of two partial solutions corresponding to symmetrical and unsymmetrical sources distributions. Each partial solution can be found by the iterative procedure proposed for one-side opened lines. The efficiency of proposed procedure was verified for the case of hybrid radiation modes of microstrip line. The results of calculations of amplitudes and phases of spectral amplitudes in visible spectrum part for examplary hybrid radiation modes are shown. As an example of an application of the hybrid radiation modes concept, the advanced cavity model of rectangular patch antenna is proposed. This model allows to calculate the parameters with acceptable precision nearly ten times faster than professional full-wave design tools. In the conclusion other possible applications of this approach are proposed e.g., in modal analysis of discontinuities including the radiation effect or 3D rectangular patch analysis.
Citation
Wlodzimierz Zieniutycz, "Hybrid Radiationb Modes of Microwave Integrated Circuit (MIC) Lines-Theory and Application," , Vol. 56, 299-322, 2006.
doi:10.2528/PIER05072102
References

1. Shevchenko, V. V., Continuous Transitions in Open Waveguides, Prentise Hall, Englewood Cliffs, NJ, 1973.

2. Davidovitz, M., "Continuous spectrum and characteristic modes of the slot line in free space," IEEE Trans., Vol. MTT-44, No. 2, 340-341, 1996.

3. Rozzi T. and G. Cerri "Radiation modes of open microstrip with application," IEEE Trans., Vol. MTT-43, No. 6, 1364-1369, 1995.

4. Citerne, J. and W. Zieniutycz, "Spectral domain approach for continuous spectrum of slot-like transmissions lines," IEEE Trans., Vol. MTT-33, 817-818, 1985.

5. Grim, J. M. and P. P. Nyquist, "Spectral analysis consideration relevant to radiation and leaky modes of open-boundary microstrip line," IEEE Trans., Vol. MTT-41, No. 1, 150-153, 1993.

6. Das, N. K. and D. M. Pozar, "Full wave spectral-domain computation of material, radiation and guided wave losses in infinite multilayered printed transmission lines," IEEE Trans., Vol. MTT-39, No. 1, 54-64, 1991.

7. Katehi, P. B. and N. G. Alexopulos, "Frequency-dependent characteristics of microstrip discontinuities in millimeter-wave integrated circuits," IEEE Trans., Vol. MTT-33, No. 10, 1029-1036, 1985.

8. Horng, T-S., S.-C. Wu, H.-Y. Yang, and N. G. Alexopulos, "A generalized method for distinguishing between radiation and surface-wave losses in microstrip discontinuities," IEEE Trans., Vol. MTT-38, No. 12, 1800-1807, 1990.

9. Sarkar, T. K., Z. A. Maricevic, and M. Kahrizi, "An accurate de-embedding procedure for characterizing discontinuities," International Journal of Microwave and Mil limeter-Wave Computer-Aided Engineering, Vol. 2, No. 3, 135-143, 1992.

10. Sarkar, T. K., Z. A. Maricevic, and M. Salazar-Palma, "Characterization of power loss from discontinuities in guided structures," MTT-S Int. Microwave Symposium, Vol. 2, No. 2, 613-616, 1997.

11. Mesa, F. and D. R. Jackson, "The danger of high-frequency spurious effects on wide microstrip line," IEEE Trans., Vol. MTT-50, No. 12, 2679-2690, 2002.

12. Freire, M., F. Mesa, C. de Nallo, D. R. Jackson, and A. A. Oliner, "Spurious transmission effects due to the excitation of the bound mode and the continuous spectrum on stripline with air gap," IEEE Trans., Vol. MTT-47, No. 12, 2493-2502, 1999.

13. Hanson, G. W. and A. B. Yakovlev, Operator Theory for Electromagnetics — An Introduction, Springer-Verlag, New York, 2002.

14. Zieniutycz, W., "A new formulation of boundary condition at infinity for hybrid radiation modes and its application to the analysis of radiation modes of microstrip lines," IEEE Trans., Vol. MTT-38, No. 9, 1294-1299, 1990.

15. Felsen, L. B. and N. Marcuvitz, Radiation and Scattering of Waves, Prentice-Hall Inc., New Jersey, 1973.

16. Vasallo, Ch., Théorie des Guides d'ondes Électromagnetiques, Eyrolles, Paris, 1985.

17. Zieniutycz, W., "Application of hybrid radiation modes of microstrip line in the design of rectangular microstrip antennas," IEE Proc. — Microw. Antennas Propag., Vol. 145, No. 5, 421-423, 1998.
doi:10.1049/ip-map:19982063

18. Schaubert, D., D. Pozar, and A. Adrian, "Effect of microstrip antenna substrate thickness with experiments," IEEE Trans., Vol. AP-37, No. 5, 677-682, 1987.

19. Hall, R. C. and J. R. Mosig, "The analysis of coaxially fed microstrip antennas with electrically thick substrates," Electromagnetics, Vol. 9, 367-384, 1989.

20. Hang, E., S. A. Long, and W. F. Richards, "Experimental investigation of electrically thick rectangular microstrip antennas," IEEE Trans., Vol. AP-34, 767-772, 1986.

21. Wood, C., "Analysis of microstrip circular patch antennas," IEE Proc., Vol. 128H, 69-76, 1981.

22. Thouroude, D., M. Himdi, and J. P. Daniel, "CAD-oriented cavity model for rectangular patches," Electron. Lett., Vol. 26, No. 13, 842-844, 1990.

23. Jackson, P. R. and T. R. Williams, "A comparison of CAD models for radiation from rectangular microstrip patch," Int. Journal of Microw. and Mil limeter-Wave Computer-Aided Engineering, Vol. 1, No. 2, 236-245, 1991.