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A mode-matching analysis of dielectric-filled resonant cavities coupled to terahertz parallel-plate waveguides Victoria Astley, 1 Kimberly S. Reichel, 1 Jonathan Jones, 2 Rajind Mendis, 1 and Daniel M. Mittleman 1,* 1 Department of Electrical and Computer Engineering, MS-378, Rice University, Houston, Texas 77005, USA 2 Department of Electrical and Computer Engineering, Eastern Illinois University, Charleston, Illinois 61920, USA * daniel@rice.edu Abstract: We use the mode-matching technique to study parallel-plate waveguide resonant cavities that are filled with a dielectric. We apply the generalized scattering matrix theory to calculate the power transmission through the waveguide-cavities. We compare the analytical results to experimental data to confirm the validity of this approach. ©2012 Optical Society of America OCIS codes: (230.7370) Waveguides; (230.5750) Resonators; (300.6495) Spectroscopy, terahertz. References and Links 1. H. Zhu, I. M. White, J. D. Suter, M. Zourob, and X. Fan, “Integrated refractive index optical ring resonator detector for capillary electrophoresis,” Anal. Chem. 79(3), 930–937 (2007). 2. T. Hasek, H. Kurt, D. S. Citrin, and M. Koch, “Photonic crystals for fluid sensing in the subterahertz range,” Appl. Phys. Lett. 89(17), 173508 (2006). 3. M. Loncar, A. Scherer, and Y. Qiu, “Photonic crystal laser sources for chemical detection,” Appl. Phys. Lett. 82(26), 4648–4650 (2003). 4. N. M. Hanumegowda, C. J. Stica, B. C. Patel, I. White, and X. Fan, “Refractometric sensors based on microsphere resonators,” Appl. Phys. Lett. 87(20), 201107 (2005). 5. B. You, J. Y. Lu, J. H. Liou, C. P. Yu, H. Z. Chen, T. A. Liu, and J. L. Peng, “Subwavelength film sensing based on terahertz anti-resonant reflecting hollow waveguides,” Opt. Express 18(18), 19353–19360 (2010). 6. S. Yoshida, E. Kato, K. Suizu, Y. Nakagomi, Y. Ogawa, and K. Kawase, “Terahertz sensing of thin poly(theylene terephthalate) film thickness using a metallic mesh,” Appl. Phys. Express 2(1), 012301 (2009). 7. C. Debus and P. H. Bolivar, “Frequency selective surfaces for high sensitivity terahertz sensing,” Appl. Phys. Lett. 91(18), 184102 (2007). 8. J. F. O’Hara, R. Singh, I. Brener, E. Smirnova, J. Han, A. J. Taylor, and W. Zhang, “Thin-film sensing with planar terahertz metamaterials: sensitivity and limitations,” Opt. Express 16(3), 1786–1795 (2008). 9. C. Rau, G. Torosyan, R. Beigang, and Kh. Nerkararyan, “Prism coupled terahertz waveguide sensor,” Appl. Phys. Lett. 86(21), 211119 (2005). 10. R. Mendis, V. Astley, J. Liu, and D. M. Mittleman, “Terahertz microfluidic sensor based on a parallel-plate waveguide resonant cavity,” Appl. Phys. Lett. 95(17), 171113 (2009). 11. V. Astley, K. Reichel, J. Jones, R. Mendis, and D. M. Mittleman, “Terahertz multichannel microfluidic sensor based on parallel-plate waveguide resonant cavities,” Appl. Phys. Lett. 100(23), 231108 (2012). 12. R. Mendis and D. M. Mittleman, “Comparison of the lowest-order transverse-electric (TE 1 ) and transverse-magnetic (TEM) modes of the parallel-plate waveguide for terahertz pulse applications,” Opt. Express 17(17), 14839–14850 (2009). 13. V. Astley, B. McCracken, R. Mendis, and D. M. Mittleman, “Analysis of rectangular resonant cavities in terahertz parallel-plate waveguides,” Opt. Lett. 36(8), 1452–1454 (2011). 14. A. L. Bingham and D. Grischkowsky, “High Q, one-dimensional terahertz photonic waveguides,” Appl. Phys. Lett. 90(9), 091105 (2007). 15. A. Bingham, “Propagation through terahertz waveguides with photonic crystal boundaries,” Ph.D. Thesis, Oklahoma State University: Stillwater (2007). 16. P. P. Borsboom and H. J. Frankena, “Field analysis of two-dimensional integrated optical gratings,” J. Opt. Soc. Am. B 12(5), 1134–1141 (1995). 17. T. Thumvongskul and T. Shiozawa, “Reflection characteristics of a metallic waveguide grating with rectangular grooves as a frequency-selective reflector,” Microw. Opt. Technol. Lett. 32(6), 414–418 (2002). 18. T. Itoh, ed., Numerical Techniques for Microwave and Millimeter-Wave Passive Structures (Wiley, 1989). #172172 - $15.00 USD Received 9 Jul 2012; revised 30 Aug 2012; accepted 31 Aug 2012; published 7 Sep 2012(C) 2012 OSA 10 September 2012 / Vol. 20, No. 19/ OPTICS EXPRESS 21766