volume | PIER Journals

Abstract

This paper presents a new hybrid finite-difference frequency domain --- mode-matching method (FDFD-MM) for the analysis of electromagnetic wave scattering from configuration of metallic or dielectric cylindrical posts with arbitrary cross-section. In our approach each scatterer is treated as an effective circular cylinder represented by impedance matrix defined in its local coordinate system. In order to obtain the scattering parameters of arbitrary configuration of objects in global coordinate system an analytical iterative scattering procedure (ISP) is applied. This work is an extension of our previously published results, where our consideration were limited to two dimensional (2D) problems with TM excitation. In this paper we extended our analysis to two-and-a-half dimensional (2.5D) problems. The accuracy of the proposed method is presented and discussed. To verify our approach some numerical examples are presented. The obtained results are compared with the results published in literature and the ones obtained from own measurements and commercial software.

1. Satoh, T., S. Endo, N. Matsunaka, S. Betsudan, T. Katagi, and T. Ebisui, "Sidelobe level reduction by improvement of strut shape," IEEE Trans. on AP, Vol. 32, 698-705, Jul. 1984. Google Scholar

2. Kildal, P.-S., A. A. Kishk, and A. Tengs, "Reduction of forward scattering from cylindrical objects using hard surfaces," IEEE Trans. on AP, Vol. 44, 1509-1520, Nov. 1996. Google Scholar

3. Yasumoto, K., H. Toyama, and T. Kushta, "Accurate analysis of two-dimensional electromagnetic scattering from multilayered periodic arrays of circular cylinders using lattice sums technique," IEEE Trans. on AP, Vol. 52, 2603-2611, Oct. 2004. Google Scholar

4. Toyama, H. and K. Yasumoto, "Electromagnetic scattering from periodic arrays of composite circular cylinder with internal cylindrical scatterers," Progress In Electromagnetics Research, PIER 52, 321-333, 2005.
doi:10.2528/PIER04100101 Google Scholar

5. Gimeno, B., J. L. Cruz, E. A. Navarro, and V. Such, "A polarizer rotator system for three-dimensional oblique incidence," IEEE Trans. on AP, Vol. 42, No. 7, 912-919, Jul. 1994. Google Scholar

6. Lech, R., M. Mazur, and J. Mazur, "Analysis and design of a polarizer rotator system," IEEE Trans. on AP, Vol. 56, No. 3, 844-847, Mar. 2008. Google Scholar

7. Coccioli, R., A. Morini, G. Pelosi, and T. Rozzi, "Design of tolerance-corrected filters employing half-cylinder posts," IEEE Trans. on MTT, Vol. 46, No. 1, 116-118, Jan. 1998.
doi:10.1109/22.654930 Google Scholar

8. Bachiller, C., H. Esteban, V. E. Boria, J. V. Morro, L. J. Rogla, M. Taroncher, and A. Belenguer, "Efficient CAD tool of direct-coupled-cavities filters with dielectric resonators," IEEE Antennas and Propagation Society International Symposium 2005, Vol. 1B, 578-581, 2005.
doi:10.1109/APS.2005.1551624 Google Scholar

9. Shen, T., K. A. Zaki, and C. Wang, "Tunable dielectric resonators with dielectric tuning disks," IEEE Trans. on MTT, Vol. 48, No. 12, 2439-2445, Dec. 2000.
doi:10.1109/22.898995 Google Scholar

10. Dittloff, J., F. Arndt, and D. Grauerholz, "Optimum design of waveguide E-plane stub-loaded phase shifters," IEEE Trans. on MTT, Vol. 36, No. 3, 582-587, Mar. 1988.
doi:10.1109/22.3552 Google Scholar

11. Gaiewski, W. R., L. P. Dunleavy, and A. J. Castro, "Analysis and measurement of mode polarizers in square waveguide," IEEE Trans. on MTT, Vol. 45, No. 6, 997-1000, Jun. 1997.
doi:10.1109/22.588616 Google Scholar

12. Sabbagh, M. E. and K. Zaki, "Modeling of rectangular waveguide junctions containing cylindrical posts," Progress In Electromagnetics Research, 299-331, PIER 33, 2001. Google Scholar

13. Arena, D., M. Ludovico, G. Manara, and A. Monorchio, "Analysis of waveguide discontinuities using edge elements in a hybrid mode matching/finite elements approach," IEEE MWCL, Vol. 11, No. 9, 379-381, Sep. 2001. Google Scholar

14. Crino, V., M. Mongiardo, and C. Tomassoni, "Comparison between line and surface integral formulations of the hybrid mode-matching/two-dimensional finite element method: Research articles," International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Vol. 17, No. 6, 575-592, Nov. 2004.
doi:10.1002/jnm.558 Google Scholar

15. Catina, V., F. Arndt, and J. Brandt, "Hybrid surface integral-equation/mode-matching method for the analysis of dielectric loaded waveguide filters of arbitrary shape," IEEE Trans. on MTT, Vol. 53, No. 11, 3562-3567, Nov. 2005.
doi:10.1109/TMTT.2005.857343 Google Scholar

16. Abd-Alhameed, R. A., P. S. Excell, M. A. Mangoud, and J. A. Vaul, "Computation of radiated and scattered field using separate frequency domain moment-method regions and frequencyv domain MoM-FDTD hybrid methods," IEE Antennas and Propagation 1999 National Conference, Vol. 30, Mar./Apr. 1999. Google Scholar

17. Rogier, H., "A new hybrid FDTD-BIE approach to model electromagnetic scattering problems," IEEE Microwave and Guided Wave Letters, Vol. 8, No. 3, 138-140, Mar. 1998.
doi:10.1109/75.661141 Google Scholar

18. Xu, F. and W. Hong, "Analysis of two dimensions sparse multicylinder scattering problem using DD-FDTD method," IEEE Trans. on AP, Vol. 52, No. 10, 2612-2617, Oct. 2004. Google Scholar

19. Sharkawy, M. A., V. Demir, and A. Z. Elsherbeni, "Plane wave scattering from three dimensional multiple objects using the iterative multiregion technique based on the FDFD method," IEEE Trans. on AP, Vol. 54, No. 2, 666-673, Feb. 2006. Google Scholar

20. Esteban, H., S. Cogollos, V. E. Boria, A. S. Blas, and M. Ferrando, "A new hybrid mode-matching/numerical method for the analysis of arbitrarily shaped inductive obstacles and discontinuities in rectangular waveguides," IEEE Trans. on MTT, Vol. 50, No. 4, 1219-1224, Apr. 2002.
doi:10.1109/22.993428 Google Scholar

21. Arndt, F., V. Catina, and J. Brandt, "Efficient hybrid MM/MoM technique for the CAD of circular combline filters with resonators of more general shape," IEEE Microwave Symposium Digest, Vol. 3, 1407-1410, 2004. Google Scholar

22. Polewski, M. and J. Mazur, "Scattering by an array of conducting lossy dielectric, ferrite and pseudochiral cylinders," Progress In Electromagnetics Research, PIER 38, 283-310, 2002. Google Scholar

23. Polewski, M., R. Lech, and J. Mazur, "Rigorous modal analysis of structures containing inhomogeneous dielectric cylinders," IEEE Trans. on MTT, Vol. 52, No. 5, 1508-1516, May 2004.
doi:10.1109/TMTT.2004.827030 Google Scholar

24. Kusiek, A., R. Lech, and J. Mazur, "A new hybrid method for analysis of scattering from arbitrary configuration of cylindrical objects," IEEE Trans. on AP, Vol. 56, No. 6, 1725-1733, Jun. 2008. Google Scholar

25. Quick Wave 3D, QWED, , Warsaw, Poland, 2006.

26. Taflove, A., "The Finite-difference Time-domain Method," Artech House, 1995. Google Scholar

27. Dey, S. and R. Mittra, "A conformal finite-difference time-domain technique for modeling cylindrical dielectric resonators," IEEE Trans. on MTT, Vol. 47, No. 9, 1737-1739, Sep. 1999.
doi:10.1109/22.788616 Google Scholar

28. Kaneda, N., B. Housmand, and T. Itoh, "FDTD analysis of dielectric resonators with curved surfaces," IEEE Trans. on MTT, Vol. 45, No. 9, 1645-1649, Sep. 1997.
doi:10.1109/22.622937 Google Scholar

29. Kowalczyk, P., M. Wiktor, and M. Mrozowski, "Efficient finite difference analysis of microstructured optical fibers," Opt. Express, Vol. 13, No. 25, 10349-10359, Dec. 2005.
doi:10.1364/OPEX.13.010349 Google Scholar

30. Dahlquist, G. and A. Bjrck, Numerical Methods, Prentice Hall, 1974.

31. Kusiek, A., P. Kowalczyk, and J. Mazur, "Analysis of scattering from arbitrary configuration of elliptical obstacles using T-matrix representation," IET Microwaves, Antennas and Propagation, Vol. 2, No. 10, 434-441, Aug. 2008.
doi:10.1049/iet-map:20070201 Google Scholar

32. Tsalamengas, J. L., I. O. Vardiambasis, and J. G. Fikioris, "Plane-wave scattering by strip-loaded circular dielectric cylinders in the case of oblique incidence and arbitrary polarization," IEEE Trans. on AP, Vol. 43, No. 10, 1099-1108, Oct. 1995. Google Scholar

Dr. Adam Kusiek

Dr. Jerzy Mazur