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Progress In Electromagnetics Research
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EFFICIENT APPROACH FOR SENSITIVITY ANALYSIS OF LOSSY AND LEAKY STRUCTURES USING FDTD

By M. A. Swillam, R. H. Gohary, M. H. Bakr, and X. Li

Full Article PDF (354 KB)

Abstract:
An efficient approach is utilized for extracting the modal parameters of high frequency structures and their sensitivities with respect to all the design parameters. Using one FDTD simulation, the modal parameters of all the guided and leaky modes are extracted over the frequency band of interest. An adapted version of the matrix pencil method is utilized for efficient extraction of the modal parameters. In addition, using no extra simulations, the sensitivities of the propagation constants with respect to all the design parameters of the structure are extracted regardless of their number. The computational time is a small fraction of the cost of similar approaches.

Citation:
M. A. Swillam, R. H. Gohary, M. H. Bakr, and X. Li, " efficient approach for sensitivity analysis of lossy and leaky structures using FDTD ," Progress In Electromagnetics Research, Vol. 94, 197-212, 2009.
doi:10.2528/PIER09061708
http://www.jpier.org/PIER/pier.php?paper=09061708

References:
1. Young, G. O. and R. Vahldieck, "An efficient 2D FDTD algorithm using real variables," IEEE Microwave Guided Wave Lett., Vol. 3, May 1993.
doi:10.1109/75.208565

2. Jin, H. and R. Vahldieck, "Full-wave analysis of guiding structures using a 2-D array of 3-D TLM nodes," IEEE Trans. Microw. Theory Tech., Vol. 41, 472-477, March 1993.
doi:10.1109/22.223747

3. Xiao, J. K. and Y. Li, "Analysis for transmission characteristics of similar rectangular guide filled with arbitrarily-shaped inhomogeneous dielectric," Journal of Electromagnetic Waves and Application, Vol. 20, No. 3, 331-340, 2006.
doi:10.1163/156939306775701777

4. Zhao, Y.-J., K.-L. Wu, and K.-K. M. Cheng, "A compact 2-D full-wave finite-difference frequency-domain method for general guided wave structures," IEEE Trans. Microw. Theory Tech., Vol. 50, 1844-{1848, July 2002.

5. Shahi, A. K., V. Singh, and S. P. Ojha, "Dispersion characteristics of electromagnetic waves in circularly cored highly birefringent waveguide having elliptical cladding," Progress In Electromagnetics Research, PIER 75, 51-62, 2007.

6. Pandey, P. C., A. Mishra, and S. P. Ojha, "Modal dispersion characteristics of a single mode dielectric optical waveguide with a guiding region cross-section bounded by two involuted spirals," Progress In Electromagnetics Research, PIER 73, 1-13, 2007.

7. Dydyk, M., "Microstrip directional couplers with ideal performance via single-element compensation," IEEE Trans. Microw. Theory Tech., Vol. 47, No. 6, 956-964, 1999.
doi:10.1109/22.769332

8. Swillam, M. A., M. H. Bakr, and X. Li, "Design optimization of compact wideband optical switch exploiting stair case index MMI," IEEE J. Lightwave Technology, Vol. 27, 80-87, January 2009.
doi:10.1109/JLT.2008.928398

9. Huang, W. P. and C. L. Xu, "Simulation of three-dimensional optical waveguides by a full-vector beam propagation method," IEEE J. Quantum Electron., Vol. 29, 2639-2649, October 1993.

10. Mansour, R. R. and R. H. MacPhie, "An improved transmission matrix formulation of cascaded discontinuities and its application to E-plane circuits," IEEE Trans. Microw. Theory Tech., Vol. 34, 1490-1498, December 1986.
doi:10.1109/TMTT.1986.1133568

11. Swillam, M. A., M. H. Bakr, and X. Li, "Full wave sensitivity analysis of guided wave structures using FDTD," Journal of Electromagnetic Waves and Application, Vol. 22, No. 16, 2135-2145(11), 2008.
doi:10.1163/156939308787522474

12. Nikolova, N. K., Y. Li, and M. H. Bakr, "Sensitivity analysis of scattering parameters with electromagnetic time-domain simulators," IEEE Trans. Microw. Theory Tech., Vol. 54, 1598-1610, April 2006.

13. Swillam, M. A., M. H. Bakr, and X. Li, "Accurate sensitivity analysis of photonic devices exploiting the finite-difference time-domain central adjoint variable method," J. Applied Optics, Vol. 46, No. 9, 1492-1499, March 2007.
doi:10.1364/AO.46.001492

14. Swillam, M. A., M. H. Bakr, N. K. Nikolova, and X. Li, "Adjoint sensitivity analysis of dielectric discontinuities using FDTD," Electromagnetics, Vol. 27, No. 2, 123-140, February 2007.
doi:10.1080/02726340601166233

15. Khajehpour, A. and S. A. Mirtaheri, "Analysis of pyramid EM wave absorber by fdtd method and comparing with capacitance and homogenization methods," Progress In Electromagnetics Research Letters, Vol. 3, 123-131, 2008.
doi:10.2528/PIERL08021802

16. Mohammad-Amjadi, S. and M. Soleimani, "Design of band-pass waveguide filter using frequency selective surfaces loaded with surface mount capacitors based on split-field update FDTD method," Progress In Electromagnetics Research B, Vol. 3, 271-281, 2008.
doi:10.2528/PIERB07122402

17. Ali, M. and S. Sanyal, "FDTD analysis of rectangular waveguide in receiving mode as EMI sensors," Progress In Electromagnetics Research B, Vol. 2, 291-303, 2008.
doi:10.2528/PIERB07112901

18. Lei, J.-Z., C.-H. Liang, W. Ding, and Y. Zhang, "EMC analysis of antennas mounted on electrically large platforms with parallel FDTD method," Progress In Electromagnetics Research, 205-220, PIER 84, 2008.

19. Jiang, Y.-N., D.-B. Ge, and S.-J. Ding, "Analysis of TFSF boundary for 2D-FDTD with plane P-wave propagation in layered dispersive and lossy media," Progress In Electromagnetics Research, PIER 83, 157-172, 2008.

20. Liu, Y., Z. Liang, and Z. Yang, "Computation of electromagnetic dosimetry for human body using parallel FDTD algorithm combined with interpolation technique," Progress In Electromagnetics Research, PIER 82, 95-107, 2008.

21. Wang, M. Y., J. Xu, J.Wu, B.Wei, H.-L. Li, T. Xu, and D.-B. Ge, "FDTD study on wave propagation in layered structures with biaxial anisotropic metamaterials," Progress In Electromagnetics Research, PIER 81, 253-265, 2008.

22. Afrooz, K., A. Abdipour, A. Tavakoli, and M. Movahhedi, "Time domain analysis of active transmission line using FDTD technique (application to microwave/MM-wave transistors)," Progress In Electromagnetics Research, PIER 77, 309-328, 2007.

23. Xiao, S.-Q., B.-Z. Wang, P. Du, and Z. Shao, "An enhanced FDTD model for complex lumped circuits," Progress In Electromagnetics Research, PIER 76, 485-495, 2007.

24. Hadi, M. F. and S. F. Mahmoud, "Optimizing the compact-FDTD algorithm for electrically large waveguiding structures," Progress In Electromagnetics Research, PIER 75, 253-269, 2007.

25. Ali, M. and S. Sanyal, "FDTD analysis of dipole antenna as EMI sensor," Progress In Electromagnetics Research, PIER 69, 341-359, 2007.

26. Gong, Z. and G.-Q. Zhu, "FDTD analysis of an anisotropically coated missile," Progress In Electromagnetics Research, PIER 64, 69-80, 2006.

27. Feit, M. D. and J. A. Jr Fleck, "Computation of mode properties in optical ¯ber waveguides by a propagation beam method," J. Applied Optics, Vol. 19, 1154-1164, April 1980.

28. Ko, W. L. and R. Mittra, "A combination of FD-TD and Prony's method for analyzing microwave integrated circuits," IEEE Trans. Microw. Theory Tech., Vol. 39, 2176-2181, 1991.
doi:10.1109/22.106561

29. Sarkar, T. K. and O. Pereira, "Using the matrix pencil method to estimate the parameters of a sum of complex exponentials," IEEE Antennas Propagat. Mag., Vol. 37, 48-55, February 1995.
doi:10.1109/74.370583

30. Feng, N. N., G. R. Zhou, and W. P. Huang, "Mode calculation by beam propagation method combined with digital signal processing technique," IEEE J. Quantum Electron., Vol. 39, 1111-1117 , September 2003.
doi:10.1109/JQE.2003.816096

31. Cover, T. M. and J. A. Thomas, Elements of Information Theory, John Wiley, 1991.

32. Sacks, Z. S., D. M. Kingsland, R. Lee, and J. F. Lee, "A perfectly matched anisotropic absorber for use as an absorbing boundary condition," IEEE Trans. Antennas Propagat., Vol. 43, 1460-1463, December 1995.
doi:10.1109/8.477075

33. Ansoft, available at http://www.ansoft.com/products/hf/hfss/.

34. Hu, J. and C. R. Menyuk, "Understanding leaky modes: Slab waveguide revisited," Adv. Opt. Photon., Vol. 1, 58-106, 2009.
doi:10.1364/AOP.1.000058

35. Huang, W.-P., C.-L. Xu, W. Lui, and K. Yokoyama, "The perfectly matched layer boundary condition for modal analysis of optical waveguides: Leaky mode calculations," IEEE Photon. Technol. Lett., Vol. 8, No. 5, 652-654, 1996.
doi:10.1109/68.491569


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