Vol. 119

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Modal Analysis of Metal-Stub Photonic Band Gap Structures in a Parallel-Plate Waveguide

By Ching Pin Yuan and Tsun-Hun Chang
Progress In Electromagnetics Research, Vol. 119, 345-361, 2011


This work presents a theoretical method to solve metal-stub photonic-band-gap (PBG) problems based on the multiple-scattering and modal analysis methods. The multiple-scattering method is generalized, which replaces the scattering coefficient by a mode-coupling matrix. Corresponding sizes between the full dielectric cylinder and the metal stub could be determined based on modal analysis. The metal stub can generate a similar frequency response to that of the full dielectric cylinder, implying that the metal stub is a good substitute for the dielectric cylinder. An experiment conducted at a low terahertz region verifies the theoretical predictions. This work offers a possibility to design two-dimensional photonic crystals using metal stub by adjusting its height for low terahertz applications.


Ching Pin Yuan and Tsun-Hun Chang, "Modal Analysis of Metal-Stub Photonic Band Gap Structures in a Parallel-Plate Waveguide," Progress In Electromagnetics Research, Vol. 119, 345-361, 2011.


    1. Mendis, R. and D. Grischkowsky, "Undistorted guided-wave propagation of subpicosecond terahertz pulses," Opt. Lett., Vol. 26, No. 11, 846-848, 2001.

    2. Mendis, R. and D. Gischkowsky, "THz interconnect with low-loss and low-group velocity dispersion," IEEE Microw. Wireless Compon. Lett., Vol. 11, No. 11, 444-446, 2001.

    3. Coleman, S. and D. Grischkowsky, "Parallel plate THz transmitter," Appl. Phys. Lett., Vol. 84, No. 5, 654-656, 2004.

    4. Nagel, M., P. Haring Bolivar, and H. Kurz, "Modular parallel-plate THz components for cost-efficient biosensing systems," Semicond. Sci. Technol., Vol. 20, S281-S285, 2005.

    5. Mendis, R., "Nature of subpicosecond terahertz pulse propagation in practical dielectic-filled parallel-plate waveguides," Opt. Lett., Vol. 31, No. 17, 2643-2645, 2006.

    6. Cooke, D. G. and P. Und Jepsen, "Optical modulation of terahertz pulses in a parallel plate waveguide," Opt. Express, Vol. 16, No. 19, 15123-15129, 2008.

    7. Guida, G., A. de Lustrac, and A. Priou, "An introduction to photonic band gap (PBG) materials," Progress In Electromagnetics Research, Vol. 41, 1-20, 2003.

    8. Bingham, A. L. and D. R. Grischkowsky, "Terahertz 2-D photonic crystal waveguides," IEEE Microw. Wireless Compon. Lett., Vol. 18, No. 7, 428-430, 2008.

    9. Lin, C., C. Chen, G. J. Schneider, P. Yao, S. Shi, A. Sharkawy, and D. W. Prather, "Wavelength scale terahertz two-dimensional photonic crystal waveguides," Opt. Express, Vol. 12, No. 23, 5723-5728, 2004.

    10. Zhao, Y. and D. Grischkowsky, "Terahertz demonstrations of effectively two-dimensional photonic bandgap structures," Opt. Lett., Vol. 31, No. 10, 1534-1536, 2006.

    11. Shchegolkov, D. Y., C. E. Heath, and E. I. Simakov, "Low loss metal diplexer and combiner based on a photonic band gap channel-drop filter at 109 GHz," Progress In Electromagnetics Research, Vol. 111, 197-212, 2011.

    12. Butt, H., Q. Dai, T. D. Wilkinson, and G. A. J. Amaratunga, "Photonic crystals & metamaterial filters based on 2D arrays of silicon nanopillars ," Progress In Electromagnetics Research, Vol. 113, 179-194, 2011.

    13. Bingham, A., Y. Zhao, and D. Grischkowsky, "THz parallel plate photonic waveguides," Appl. Phys. Lett., Vol. 87, 051101-1-051101-3, 2005.

    14. Tarot, A.-C., S. Collardey, and K. Mahdjoubi, "Numerical studies of metallic PBG structures," Progress In Electromagnetics Research, Vol. 41, 133-157, 2003.

    15. Swillam, M. A., 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. 96, 155-172, 2009.

    17. Zheng, G., B.-Z.Wang, H. Li, X.-F. Liu, and S. Ding, "Analysis of finite periodic dielectric gratings by the finite-difference frequency-domain method with the sub-entire-domain basis functions and wavelets," Progress In Electromagnetics Research, Vol. 99, 453-463, 2009.

    18. Li, J., L.-X. Guo, and H. Zeng, "FDTD method investigation on the polarimetric scattering from 2-D rough surface," Progress In Electromagnetics Research, Vol. 101, 173-188, 2010.

    19. Kusiek, A. and J. Mazur, "Hybrid finite-difference/mode-matching method for analysis of scattering from arbitrary configuration of rotationally-symmetrical posts ," Progress In Electromagnetics Research, Vol. 110, 23-42, 2010.

    20. Izadi, M., M. Z. A. Ab Kadir, C. Gomes, and W. F. Wan Ahmad, "An analytical second-FDTD method for evaluation of electric and magnetic fields at intermediate distances from lightning channel ," Progress In Electromagnetics Research, Vol. 110, 329-352, 2010.

    21. Zhang, P. F., S. X. Gong, and S. F. Zhao, "Fast hybrid FEM/CRE --- UTD method to compute the radiation pattern of antennas on large carriers," Progress In Electromagnetics Research, Vol. 89, 75-84, 2009.

    22. Vaseghi, B., N. Takorabet, and F. Meibody-Tabar, "Transient finite element analysis of induction machines with stator winding turn fault ," Progress In Electromagnetics Research, Vol. 95, 1-18, 2009.

    23. Benisty, H., D. Labilloy, C. Weisbuch, C. J. M. Smith, T. F. Krauss, D. Cassagne, A. Béraud, and C. Jouanin, "Radiation losses of waveguide-based two-dimensional photonic crystals: Positive role of the substrate ," Appl. Phys. Lett., Vol. 76, No. 5, 532-534, 2000.

    24. Marcuvitz, N., Waveguide Handbook, Chapter 2, McGraw-Hill, New York, 1951.

    25. Li, L.-M. and Z.-Q. Zhang, "Multiple-scattering approach to finite-sized photonic band-gap materials," Phys. Rev. B, Vol. 58, No. 15, 9587-9590, 1998.

    26. Martin, P. A., Multiple Scattering: Interaction of Time-Harmonic Waves with N obstacles, Cambridge University Press, Cambridge, 2006.

    27. Botten, L. C., R. C. McPhedran, N. A. Nicorovici, A. A. Asatryan, C. M. de Sterke, P. A. Robinson, K. Busch, G. H. Smith, and T. N. Langtry, "Rayleigh multipole methods for photonic crystal calculations," Progress In Electromagnetics Research, Vol. 41, 21-60, 2003.

    28. Gesell, G. A. and I. R. Ciric, "Recurrence modal analysis for multiple waveguide discontinuities and its application to circular structures ," IEEE Tran. Microw. Theory Tech., Vol. 41, No. 3, 484-490, 1993.

    29. Yao, H.-Y. and T.-H. Chang, "Effect of high-order modes on tunneling characteristics," Progress In Electromagnetics Research, Vol. 101, 291-306, 2010.

    30. Noor Amin, A. S., M. Mirhosseini, and M. Shahabadi, "Modal analysis of multilayer conical dielectric waveguides for azimuthal invariant modes ," Progress In Electromagnetics Research, Vol. 105, 213-229, 2010.

    31. Canto, J. R., C. R. Paiva, and A. M. Barbosa, "Modal analysis of bi-isotropic H-guides," Progress In Electromagnetics Research, Vol. 111, 1-24, 2011.

    32. Jackson, J. D., Classical Electrodynamics, Chapter 10, John Wiley & Sons, New York, 1998.

    33. Economou, E. N., Green's Functions in Quantum Physics, Chapter 1, Springer-Verlag, Berlin, 2006.

    34. Yuan, C. P., S. Y. Lin, T. H. Chang, and B. Y. Shew, "Millimeter-wave Bragg diffraction of microfabricated crystal structures," Am. J. Phys., Vol. 79, No. 6, 619-623, 2011.

    35. Joannopoulos, J. D., R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton University Press, Princeton, 1995.

    36. Lourtioz, J.-M., H. Benisty, V. Berger, J.-M. Gérard, D. Maystre, and A. Tchelnokov, "Photonic Crystals: Towards Nanoscale Photonic Devices," Chapter 1, Springer-Verlag, Berlin, 2005.