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2014-03-11
Complex Resonances of a Rectangular Patch in a Multilayered Medium: a New Accurate and Efficient Analytical Technique
By
Progress In Electromagnetics Research, Vol. 145, 123-132, 2014
Abstract
A new analytical technique to study the complex resonances of a rectangular patch in a multilayered medium is introduced. The problem is formulated as an electric field integral equation (EFIE) in the spectral domain and discretized by means of products of Chebyshev polynomials of first and second kind multiplied by their orthogonal weights in a Galerkin's scheme. The method is fast convergent, i.e., few expansion functions are needed to achieve accurate results, but leads to the numerical evaluation of infinite double integrals of oscillating and slowly decaying functions. To overcome this problem, suitable half-space contributions are pulled out of the kernels of such integrals in order to obtain exponentially decaying integrands. Moreover, the slowly converging integrals of the extracted contributions are expressed as combinations of quickly converging integrals by means of algebraic manipulations and an appropriate integration procedure in the complex plane.
Citation
Mario Lucido, "Complex Resonances of a Rectangular Patch in a Multilayered Medium: a New Accurate and Efficient Analytical Technique," Progress In Electromagnetics Research, Vol. 145, 123-132, 2014.
doi:10.2528/PIER14020204
References

1. Carver, K. R. and J. W. Mink, "Microstrip antenna technology," IEEE Trans. Antennas Propag., Vol. 29, No. 1, 2-24, Jan. 1981.

2. James, J. R. and P. S. Hall, Handbook of Microstrip Antennas, Stevenage, Peregrinus, UK, 1989.

3. Michalski, K. A. and D. Zheng, "Analysis of microstrip resonators of arbitrary shape," IEEE Trans. Microw. Theory Tech., Vol. 40, No. 1, 112-119, Jan. 1992.

4. Gupta, K. C. and M. D. Abouzahra (eds.), Analysis and Design of Planar Microwave Components, IEEE Press, Piscataway, NJ, 1994.

5. Bogosanovich, M., "Microstrip patch sensor for measurement of the permittivity of homogeneous dielectric materials," IEEE Trans. Instrum. Meas., Vol. 49, No. 5, 1144-1148, Oct. 2000.

6. Zucchelli, A., M. Chimenti, and E. Bozzi, "Application of a coaxial-fed patch to microwave nondestructive porosity measurements in low-loss dielectrics," Progress In Electromagnetics Research M, Vol. 5, 1-14, 2008.

7. Bahl, J., P. Bahartia, and S. S. Stuchly, "Design of microstrip antennas covered with a dielectric layer," IEEE Trans. Antennas Propag., Vol. 30, No. 2, 314-318, Mar. 1982.

8. Bhattacharayya, A. and T. Tralman, "Effects of dielectric superstrate on patch antennas," Electron. Lett., Vol. 24, No. 6, 356-358, 1988.

9. Harokopus, W. P. and P. B. Katehi, "Characterization of microstrip discontinuities on multilayer dielectric substrates including radiation losses," IEEE Trans. Microw. Theory Tech., Vol. 37, No. 12, 2058-2066, Dec. 1989.

10. Schwab, W. and W. Menzel, "On the design of planar microwave components using multilayer structures," IEEE Trans. Microw. Theory Tech., Vol. 40, No. 1, 67-72, Jan. 11992.

11. Afzalzadeh, R. and R. N. Karekar, "X-band directive single microstrip patch antenna using dielectric parasite," Electron. Lett., Vol. 28, No. 1, 17-19, 1992.

12. Yeung, E. K. L., J. C. Beal, and Y. M. M. Antar, "Multilayer microstrip structure analysis with matched load simulation," IEEE Trans. Microw. Theory Tech., Vol. 43, No. 1, 143-149, Jan. 1995.

13. Tsai, M.-J., F. De Flaviis, O. Fordham, and N. G. Alexopoulos, "Modeling planar arbitrarily shaped microstrip elements in multilayered media," IEEE Trans. Microw. Theory Tech., Vol. 45, No. 3, 330-337, Mar. 1997.

14. Losada, V., R. R. Boix, and M. Horno, "Resonant modes of circular microstrip patches in multilayered substrates," IEEE Trans. Microw. Theory Tech., Vol. 47, No. 4, 488-498, Apr. 1999.

15. Ling, F., D. Jiao, and J.-M. Jin, "Efficient electromagnetic modeling of microstrip structures in multilayer media," EEE Trans. Microw. Theory Tech., Vol. 47, No. 9, 1810-1818, Sep. 1999.

16. Xia, L., C.-F. Wang, L.-W. Li, P.-S. Kooi, and M.-S. Leong, "Fast characterization of microstrip antenna resonance in multilayered media using interpolation/extrapolation methods," Microw. Opt. Technol. Lett., Vol. 28, No. 5, 342-346, Mar. 2001.

17. Sharma, A. and G. Singh, "Design of single pin shorted three-dielectric-layered substrates rectangular patch microstrip antenna for communication systems," Progress In Electromagnetics Research Letters, Vol. 2, 157-165, 2008.

18. Li, Y. and N. Bowler, "Resonant frequency of a rectangular patch sensor covered with multilayered dielectric structures," IEEE Trans. Antennas Propag., Vol. 58, No. 6, 1883-1889, Jun. 2010.

19. Aouabdia, N., N. E. Belhadj-Tahar, G. Alquie, and F. Benabdelaziz, "Theoretical and experimental evaluation of superstrate e®ect on rectangular patch resonator parameters," Progress In Electromagnetics Research B, Vol. 32, 129-147, 2011.

20. Taflove, A., Computional Electromagentics: The Finite-difference Time-domain Method, Artech House, Norwood, MA, 1995.

21. Jin, J. M., The Finite Element Method in Electromagnetics, Wiley, New York, 1993.

22. Harrington, R. F., Field Computation in Electromagnetics, Wiley, New York, 1993.

23. Silvester, P. and P. Benedek, "Equivalent capacitance of microstrip open circuits," IEEE Trans. Microw. Theory Tech., Vol. 20, No. 8, 511-516, Aug. 1972.

24. Kompa, G. and R. Mehran, "Planar waveguide model for calculating microstrip components," Electron. Lett., Vol. 11, No. 19, 459-460, 1975.

25. Eswaran, K., "On the solutions of a class of dual integral equations occurring in diffraction problems," Proceedings of the Royal Society of London, Series A, Vol. 429, No. 1877, 399-427, 1990.

26. Bagby, J. S., C.-H. Lee, Y. Yuan, and D. P. Nyquist, "Entire-domain basis MOM analysis of coupled microstrip transmission lines," IEEE Trans. Microw. Theory Tech., Vol. 40, No. 1, 49-57, Jan. 1992.

27. Veliev, E. I. and V. V. Veremey, "Numerical-analytical approach for the solution to the wave scattering by polygonal cylinders and flat strip structures," Analytical and Numerical Methods in Electromagnetic Wave Theory, M. Hashimoto, M. Idemen, and O. A. Tretyakov (eds.), Science House, Tokyo, 1993.

28. Park, S. and C. A. Balanis, "Dispersion characteristics of open microstrip lines using closed-form asymptotic extraction," IEEE Trans. Microw. Theory Tech., Vol. 45, No. 3, 458-460, Mar. 1997.

29. Park, S. and C. A. Balanis, "Closed-form asymptotic extraction method for coupled microstrip lines," IEEE Microw. Guid. Wave Lett., Vol. 7, No. 3, 84-86, Mar. 1997.

30. Amari, S., R. Vahldieck, and J. Bornemann, "Using selective asymptotics to accelerate dispersion analysis of microstrip lines," IEEE Trans. Microw. Theory Tech., Vol. 46, No. 7, 1024-1027, Jul. 1998.

31. Tsalamengas, J. L., "Rapidly converging direct singular integral-equation techniques in the analysis of open microstrip lines on layered substrates," IEEE Trans. Microw. Theory Tech., Vol. 49, No. 3, 555-559, Mar. 2001.

32. Lucido, M., G. Panariello, and F. Schettino, "Analysis of the electromagnetic scattering by perfectly conducting convex polygonal cylinders," IEEE Trans. Antennas Propag., Vol. 54, No. 4, 1223-1231, Apr. 2006.

33. Lucido, M., G. Panariello, and F. Schettino, "Electromagnetic scattering by multiple perfectly conducting arbitrary polygonal cylinders," IEEE Trans. Antennas Propag., Vol. 56, No. 2, 425-436, Feb. 2008.

34. Lucido, M., G. Panariello, and F. Schettino, "TE scattering by arbitrarily connected conducting strips," IEEE Trans. Antennas Propag., Vol. 57, No. 7, 2212-2216, Jul. 2009.

35. Lucido, M., G. Panariello, and F. Schettino, "Scattering by polygonal cross-section dielectric cylinders at oblique incidence," IEEE Trans. Antennas Propag., Vol. 58, No. 2, 540-551, Feb. 2010.

36. Coluccini, G., M. Lucido, and G. Panariello, "TM scattering by perfectly conducting polygonal cross-section cylinders: A new surface current density expansion retaining up to the second-order edge behavior," IEEE Trans. Antennas Propag., Vol. 60, No. 1, 407-412, Jan. 2012.

37. Lucido, M., "An analytical technique to fast evaluate mutual coupling integrals in spectral domain analysis of multilayered coplanar coupled striplines," Microw. Opt. Technol. Lett., Vol. 54, No. 4, 1035-1039, Apr. 2012.

38. Coluccini, G., M. Lucido, and G. Panariello, "Spectral domain analysis of open single and coupled microstrip lines with polygonal cross-section in bound and leaky regimes," IEEE Trans. Microw. Theory Tech., Vol. 61, No. 2, 736-745, Feb. 2013.

39. Lucido, M., "An efficient evaluation of the self-contribution integrals in the spectral-domain analysis of multilayered striplines," EEE Antennas Wireless Propag. Lett., Vol. 12, 360-363, Mar. 2013.

40. Meixner, J., "The behaviour of electromagnetic fields at edges," IEEE Trans. Antennas Propag., Vol. 20, No. 4, 442-446, Jul. 1972.

41. Hongo, K. and H. Serizawa, "Diffraction of electromagnetic plane wave by rectangular plate and rectangular hole in the conducting plate," IEEE Trans. Antennas Propag., Vol. 47, No. 6, 1029-1041, Jun. 1999.

42. Coluccini, G. and M. Lucido, "A new high efficient analysis of the scattering by a perfectly conducting rectangular plate," IEEE Trans. Antennas Propag., Vol. 61, No. 5, 2615-2622, May 2013.

43. Chew, W. C. and Q. Liu, "Resonance frequency of a rectangular microstrip patch," IEEE Trans. Antennas Propag., Vol. 36, No. 8, 1045-1056, Aug. 1988.

44. Chew, W. C., Waves and Fields in Inhomogeneous Media, IEEE Press, New York, 1995.

45. Chew, W. C. and S. Y. Chen, "Response of a point source embedded in a layered medium," IEEE Antennas Wireless Propag. Lett., Vol. 2, No. 1, 254-258, 2003.

46. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, Verlag Harri Deutsch, 1984.