Defect modes in micro-ring resonator arrays

Optics Express

Volumn 13, Issue 20, 2005, Pages 7800-7815

  Landobasa, Yosef M ^a   Chin, Mee K ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CRYSTALLINE MATERIALS; DIELECTRIC WAVEGUIDES; MATHEMATICAL MODELS; MATRIX ALGEBRA; PHOTONS;

DEFECT STATES; PHOTONIC CRYSTALS; TRANSFER MATRIX METHOD;

RESONATORS;

EID: 30144444006     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OPEX.13.007800     Document Type: Article

References (22)

1. B. E. Little, S. T. Chu, W. Pan, and Y. Kokubun, "Microring resonator arrays for VLSI photonics," IEEE Photonics. Technol. Lett. 12, 323-325 (2000).
2. S. T. Chu, W.Pan, S. Sato, T. Kaneko, Y. Kokubun, and B. E. Little, "An eight-channel add/drop filter using vertically coupled microring resonators over a cross grid," IEEE Photonics. Technol. Lett. 11, 691-693 (1999).
3. R. Grover, V. Van, T.A. Ibrahim, P.P. Absil, L. C. Calhoun, F. G. Johnson, J. V. Hryniewicz, and P.-T. Ho, "Parallel-cascaded semiconductor microring resonators for high-order and wide-FSR filters," J. Lightwave Technol. 20, 900-905 (2002).
4. B. E. Little, S. T. Chu, J. V. Hryniewicz, and P. P. Absil, "Filter synthesis for periodically coupled microring resonators," Opt. Lett. 25, 344-346 (2000).
5. A. Melloni, "Synthesis of a parallel-coupled ring-resonator filter," Opt. Lett. 26, 917-919 (2001).
6. G. Griffel, "Synthesis of optical filters using ring resonator arrays," IEEE Photonics. Technol. Lett. 12, 810-812 (2000).
7. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, "Coupled-resonator optical waveguide: a proposal and analysis," Opt. Lett. 24, 711-713 (1999).
8. J. V. Hryniewicz, P. P. Absil, B. E. Little, R. A. Wilson, and P-T. Ho, "Higher order filter response in coupled microring resonators," IEEE Photonics Technol. Lett. 12, 320-322 (2000).
9. B.E. Little, S. T. Chu, P. P. Absil, J. V. Hryniewicz, F. G. Johnson, F. Seiferth, D. Gill, V.Van, O.King, and M. Trakalo, "Very high-order microring resonator filters for WDM applications," IEEE Photonics Technol. Lett. 16, 2263-2265 (2004).
10. R. Orta, P. Savi, R. Tascone, and D. Trinchero, "Synthesis of multiple-ring-resonator filters for optical systems," IEEE Photonics. Technol. Lett. 7, 1447-1449 (1995).
11. J. Poon, J. Scheuer, S. Mookherjea, G. T. Paloczi, Y. Huang, and A. Yariv, "Matrix analysis of microring coupled-resonator optical waveguides," Opt. Express 12, 90-103 (2004), http://www.opticsexpress.org/ abstract.cfm?URI=OPEX-12-1-90.
12. John E. Heebner, P. Chak, S. Pereira, J. E. Sipe, and R. W. Boyd, "Distributed and localized feedback in microresonator sequences for linear and nonlinear optics", J. Opt. Soc. Am. B 21, 1818-1832, (2004).
13. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
14. E. Yablonovitch, "Photonic band-gap structure," J. Opt. Soc. Am. B 10, 283 (1993).
15. S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith, and S. Schultz, "Microwave propagation in two-dimensional dielectric lattices," Phys. Rev. Lett. 67, 2017 (1991).
16. S. Fan, J. N. Winn, A. Devenyi, J. C. Chen, R. D. Meade, and J. D. Joannopoulos, "Guided and defect modes in periodic dielectric waveguides," J. Opt. Soc. Am. B 12, 1267 (1995).
17. K. Sakoda and H. Shiroma, "Numerical method for localized defect modes in photonic lattices," Phys. Rev. B 56, 4830 (1997).
18. G. Gutroff., M. Bayer., J. P. Reithmaier., A. Forchel., P. A. Knipp., T. L. Reinecke., "Photonic Defect States in chains of coupled microresonators," Phys. Rev. B 64, 155313 (2001).
19. B. E. Little., S. T. Chu., H. A. Haus., J. Foresi., and J.-P Laine, "Microring resonator channel dropping filter," J. Lightwave Technol. 15, 998-1005 (1997).
20. A. A. Tovar and L. W. Casperson, "Generalized Sylvester theorems for periodic applications in matrix optics," J. Opt. Soc. Am. A. 12, 578-590 (1995).
21. G. Lenz, B.J. Eggleton, C. R. Giles, C. K. Madsen, and R.E. Slusher, "Dispersive properties of optical filters for WDM systems," IEEE J. Quantum Electron. 34, 1390-1402 (1998).
22. Y.M. Landobasa, S. Darmawan, and M. K. Chin, "Matrix analysis of 2-D micro-resonator lattice optical filters," submitted to IEEE J. Quantum Electronics.