2011-03-29
Equivalent Circuit Model for Designing Coupled Resonators Photonic Crystal Filters
By
Progress In Electromagnetics Research M, Vol. 17, 213-224, 2011
Abstract
A method for modeling and designing of coupled resonators photonic crystal (PC) filters for wavelength division multiplexing (WDM) systems is presented. This proposed method is based on coupling coefficients of intercoupled resonators and the external quality factors of the input and output resonators based on the circuit approach. A general formulation for extracting the two types of parameters from the physical structure of the PC filters is given. At last, we redesign a third-order Chebyshev filter which has a center frequency of 193.55 THz, a flat bandwidth of 50GHz, and ripples of 0.1 dB in the pass-band. The filter's structure derived from the proposed method is more compact.
Citation
Zuo-Xing Dai, Jia-Li Wang, and Yan Heng, "Equivalent Circuit Model for Designing Coupled Resonators Photonic Crystal Filters," Progress In Electromagnetics Research M, Vol. 17, 213-224, 2011.
doi:10.2528/PIERM11022201
References

1. Joannopoulos, J. D., S. G. Johnson, J. N. Winn, and R. D. Meade, "Photonic Crystal: Molding the Flow of Light ," Princeton Univ. Press, Princeton, 1995.        Google Scholar

2. Yanik, M. F., H. Altug, J. Vuckovic, and S. Fan, "Submicrometer all-optical digital memory and integration of nanoscale photonic devices without isolator," IEEE J. Lightw. Techno., Vol. 22, 2316-2322, 2004.
doi:10.1109/JLT.2004.833811        Google Scholar

3. Koshiba, M., "Wavelength division multiplexing and demultiplex-ing with photonic crystal waveguide coupler ," IEEE J. Lightw. Techno., Vol. 19, 1970-1975, 2001.
doi:10.1109/50.971693        Google Scholar

4. Mekis, M. Meier, A. Dodabalapur, R. E. Slusher, and J. D. Joannopoulos, "Lasing mechanism in two dimensional photonic crystal lasers," Appl. Phys. A, Vol. 69, 111-114, 1999.
doi:10.1007/s003390050981        Google Scholar

5. Yanik, M. F., S. Fan, M. Soljacic, and J. D. Joannopoulos, "All-optical transistor action with bistable switching in a photonic crystal cross-waveguide geometry," Optics Letters, Vol. 28, 2506-2508, 2003.
doi:10.1364/OL.28.002506        Google Scholar

6. Chen, J. C., H. A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Optical filters from photonic band gap air bridges," IEEE J. Lightw. Techno., Vol. 14, 2575-2580, 1996.
doi:10.1109/50.548157        Google Scholar

7. Imada, M., S. Noda, A. Chutinan, M. Mochizuki, and T. Tanaka, "Channel drop filter using a single defect in a 2-D photonic crystal slab waveguide," IEEE J. Lightw. Techno., Vol. 20, 873-878, 2002.
doi:10.1109/JLT.2002.1007943        Google Scholar

8. Costa, R., A. Melloni, and M. Martinelli, "Bandpass resonant filters in photonic-crystal waveguides," IEEE Photon. Techno. Letters, Vol. 15, 401-403, 2003.
doi:10.1109/LPT.2002.807953        Google Scholar

9. Park, D., S. Kim, I. Park, and H. Lim, "Higher order optical resonant filters based on coupled defect resonators in photonic crystals," IEEE J. Lightw. Techno., Vol. 23, 1923-1928, 2005.
doi:10.1109/JLT.2005.846897        Google Scholar

10. Li, X. C., J. Xu, K. Xu, A. Q. Liu, and J. T. Lin, "A side-coupled photonic crystal filter with sidelobe suppression," Appl. Phys. A, Vol. 89, 327-332, 2007.
doi:10.1007/s00339-007-4116-4        Google Scholar

11. Haus, H. A., Wave and Fields in Optoelectronics, Prentice-Hall, 1984.

12. Fan, S., P. Villeneuve, and J. Joannopoulos, "Channel drop filters in photonic crystals," Opt. Express, Vol. 3, 4-11, 1998.
doi:10.1364/OE.3.000004        Google Scholar

13. Chen, C., X. Li, H. Li, K. Xu, J. Wu, and J. Lin, "Bandpass filters based on phase-shifted photonic crystal waveguide gratings," Opt. Express, Vol. 15, 11278-11284, 2007.
doi:10.1364/OE.15.011278        Google Scholar

14. Fasihi, K. and S. Mohammadnejad, "Highly efficient channel-drop filter with a coupled cavity-based wavelength-selective reflection feedback," Opt. Express, Vol. 17, 8983-8997, 2009.
doi:10.1364/OE.17.008983        Google Scholar

15. Akahane, , Y., T. Asano, H. Takano, B. S. Song, Y. Takana, and S. Noda, "Two-dimensional photonic-crystal-slab channel-drop filter with flat-top response," Opt. Express, Vol. 13, 2512-2530, 2005.
doi:10.1364/OPEX.13.002512        Google Scholar

16. Ashcroft, N. W. and N. D. Mermin, Solid State Physics, Saunders College, Philadelphia, 1976.

17. Kouwenhoven, L. P., C. M. Marcus, P. L. McEuen, S. Tarucha, R. M. Westervelt, and N. S. Wingreen, "Electron transport in quantum dots," Proceedings of the NATO Advanced Study Institute on Mesoscopic Electron Transport, Curacao, Netherlands, Antilles, 1996.        Google Scholar

18. Mohtashami, A., J. Zarbakhsh, and K. Hingerl, "Advances impedance matching in photonic crystal waveguides," Opt. Quant. E, Vol. 39, 387-394, 2007.
doi:10.1007/s11082-007-9080-x        Google Scholar

19. Biswas, R., Z. Y. Li, and K. M. Ho, "Impedance of photonic crystals and photonic crystal waveguides," App. Physics Letters, Vol. 84, 1254-1256, 2004.
doi:10.1063/1.1649815        Google Scholar

20. Momeni, B., A. A. Eftekhar, and A. Adibi, "Effective impedance model for analysis of reflection at the interfaces of photonic crystals," Optics Letters, Vol. 32, 778-780, 2007.
doi:10.1364/OL.32.000778        Google Scholar

21. Miri, M., A. Khavasi, K. Mehrany, and B. Rashidian, "Transimission-line model to design matching stage for light coupling into two-dimensional photonic crystals," Optics Letters, Vol. 35, 115-117, 2010.
doi:10.1364/OL.35.000115        Google Scholar

22. Cameron, R. J., "General coupling matrix synthesis methods for chebyshev filtering functions," IEEE Trans. on MTT, Vol. 47, 433-442, 1999.
doi:10.1109/22.754877        Google Scholar

23. Hong, J. S. and M. J. Lancaster, Microstrip Filters for RF/Microwave Applications, John Wiley and Sons, Inc., 2001.
doi:10.1002/0471221619.ch12

24., http://www.rsoftdesign.com/.        Google Scholar