© 2009 OSA

1. G. T. Reed, and A. P. Knights, Silicon Photonics: An Introduction, (John Wiley, West Sussex, 2004).
2. L. Pavesi, and D. J. Lockwood, Silicon Photonics, (Springer-Verlag, New York, 2004).
3. K. Vahala, Optical Microcavities, (World Scientific, Singapore, 2004).
4. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15(6), 998–1005 (1997). [CrossRef]
5. F. Xia, M. Rooks, L. Sekaric, and Y. Vlasov, “Ultra-compact high order ring resonator filters using submicron silicon photonic wires for on-chip optical interconnects,” Opt. Express 15(19), 11934–11941 (2007). [CrossRef] [PubMed]
6. F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photonics 1(1), 65–71 (2007). [CrossRef]
7. B. Liu, A. Shakouri, and J. E. Bowers, “Passive microring-resonator-coupled lasers,” Appl. Phys. Lett. 79(22), 3561–3563 (2001). [CrossRef]
8. K. De Vos, I. Bartolozzi, E. Schacht, P. Bienstman, and R. Baets, “Silicon-on-Insulator microring resonator for sensitive and label-free biosensing,” Opt. Express 15(12), 7610–7615 (2007). [CrossRef] [PubMed]
9. M. A. Popovic, C. Manolatou, and M. R. Watts, “Coupling-induced resonance frequency shifts in coupled dielectric multi-cavity filters,” Opt. Express 14(3), 1208–1222 (2006). [CrossRef] [PubMed]
10. Q. Li, S. Yegnanarayanan, A. Atabaki, and A. Adibi, “Calculation and correction of coupling-induced resonance frequency shifts in traveling-wave dielectric resonators,” in Integrated Photonics and Nanophotonics Research and Applications, (Optical Society of America, 2008), paper IWH3. http://www.opticsinfobase.org/abstract.cfm?URI=IPNRA-2008-IWH3
11. Q. Li, M. Soltani, S. Yegnanarayanan, and A. Adibi, “Design and demonstration of compact, wide bandwidth coupled-resonator filters on a siliconon- insulator platform,” Opt. Express 17(4), 2247–2254 (2009). [CrossRef] [PubMed]
12. Y. Tsuji and M. Koshiba, “Finite element method using port truncation by perfectly matched layer boundary conditions for optical waveguide discontinuity problems,” J. Lightwave Technol. 20(3), 463–468 (2002). [CrossRef]
13. H. A. Haus, Waves and fields in optoelectronics (Prentice-Hall, Englewood Cliffs, NJ, 1984).
14. A. Hardy and W. Streifer, “Coupled mode theory of parallel waveguides,” J. Lightwave Technol. 3(5), 1135–1146 (1985). [CrossRef]
15. S. L. Chuang, “A coupled mode formulation by reciprocity and a variational principle,” J. Lightwave Technol. 5(1), 5–15 (1987). [CrossRef]
16. D. Marcuse, Theory of Dielectric Optical Waveguides, second edition (Academic, Boston, 1991), Chap. 6.
17. D. Khalil, “On the radiation mode effects in integrated optical directional couplers,” Opt. Quantum Electron. 31(2), 151–159 (1999). [CrossRef]
18. A. Melloni, F. Carniel, R. Costa, and M. Martinelli, “Determination of bend mode characteristics in dielectric waveguides,” J. Lightwave Technol. 19(4), 571–577 (2001). [CrossRef]
19. For example, for the material system used in Ref. [9], Δβ is numerically found to be negative and small (~-0.015 μm−1 at 1578nm for TE polarization, w1/w2 = 400/400 nm, and gap = 100 nm). The corresponding simulation results are shown in Fig. 6 in Ref. [9]. We already know Δψ is negative for this coupling geometry (“CB” coupler), and therefore both terms in Eqs. (23) are negative and the second term is dominant. The two features that ϕ11 (ring-ring phase) is negative (corresponding CIFS positive) and ϕ11 and ϕ22 are of opposite signs are readily understood from Eqs. (23) and (24).
20. M. Soltani, Novel integrated silicon nanophotonic structures using ultra-high Q resonator, Ph.D. dissertation, Georgia Institute of Technology (2009)
21. M. Popovic, “Complex-frequency leaky mode computations using PML boundary layers for dielectric resonant structures,” in Proceedings of Integrated Photonics Research (Washington, DC, June 17, 2003).

Appl. Phys. Lett.

• B. Liu, A. Shakouri, and J. E. Bowers, “Passive microring-resonator-coupled lasers,” Appl. Phys. Lett. 79(22), 3561–3563 (2001). [CrossRef]

J. Lightwave Technol.

• B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol. 15(6), 998–1005 (1997). [CrossRef]
• Y. Tsuji and M. Koshiba, “Finite element method using port truncation by perfectly matched layer boundary conditions for optical waveguide discontinuity problems,” J. Lightwave Technol. 20(3), 463–468 (2002). [CrossRef]
• A. Melloni, F. Carniel, R. Costa, and M. Martinelli, “Determination of bend mode characteristics in dielectric waveguides,” J. Lightwave Technol. 19(4), 571–577 (2001). [CrossRef]
• A. Hardy and W. Streifer, “Coupled mode theory of parallel waveguides,” J. Lightwave Technol. 3(5), 1135–1146 (1985). [CrossRef]
• S. L. Chuang, “A coupled mode formulation by reciprocity and a variational principle,” J. Lightwave Technol. 5(1), 5–15 (1987). [CrossRef]

Nat. Photonics

• F. Xia, L. Sekaric, and Y. Vlasov, “Ultracompact optical buffers on a silicon chip,” Nat. Photonics 1(1), 65–71 (2007). [CrossRef]

Opt. Express

• Q. Li, M. Soltani, S. Yegnanarayanan, and A. Adibi, “Design and demonstration of compact, wide bandwidth coupled-resonator filters on a siliconon- insulator platform,” Opt. Express 17(4), 2247–2254 (2009). [CrossRef] [PubMed]
• F. Xia, M. Rooks, L. Sekaric, and Y. Vlasov, “Ultra-compact high order ring resonator filters using submicron silicon photonic wires for on-chip optical interconnects,” Opt. Express 15(19), 11934–11941 (2007). [CrossRef] [PubMed]
• K. De Vos, I. Bartolozzi, E. Schacht, P. Bienstman, and R. Baets, “Silicon-on-Insulator microring resonator for sensitive and label-free biosensing,” Opt. Express 15(12), 7610–7615 (2007). [CrossRef] [PubMed]
• M. A. Popovic, C. Manolatou, and M. R. Watts, “Coupling-induced resonance frequency shifts in coupled dielectric multi-cavity filters,” Opt. Express 14(3), 1208–1222 (2006). [CrossRef] [PubMed]

Opt. Quantum Electron.

• D. Khalil, “On the radiation mode effects in integrated optical directional couplers,” Opt. Quantum Electron. 31(2), 151–159 (1999). [CrossRef]

Other

• D. Marcuse, Theory of Dielectric Optical Waveguides, second edition (Academic, Boston, 1991), Chap. 6.
• Q. Li, S. Yegnanarayanan, A. Atabaki, and A. Adibi, “Calculation and correction of coupling-induced resonance frequency shifts in traveling-wave dielectric resonators,” in Integrated Photonics and Nanophotonics Research and Applications, (Optical Society of America, 2008), paper IWH3. http://www.opticsinfobase.org/abstract.cfm?URI=IPNRA-2008-IWH3
• G. T. Reed, and A. P. Knights, Silicon Photonics: An Introduction, (John Wiley, West Sussex, 2004).
• L. Pavesi, and D. J. Lockwood, Silicon Photonics, (Springer-Verlag, New York, 2004).
• K. Vahala, Optical Microcavities, (World Scientific, Singapore, 2004).
• H. A. Haus, Waves and fields in optoelectronics (Prentice-Hall, Englewood Cliffs, NJ, 1984).
• For example, for the material system used in Ref. [9], Δβ is numerically found to be negative and small (~-0.015 μm−1 at 1578nm for TE polarization, w1/w2 = 400/400 nm, and gap = 100 nm). The corresponding simulation results are shown in Fig. 6 in Ref. [9]. We already know Δψ is negative for this coupling geometry (“CB” coupler), and therefore both terms in Eqs. (23) are negative and the second term is dominant. The two features that ϕ11 (ring-ring phase) is negative (corresponding CIFS positive) and ϕ11 and ϕ22 are of opposite signs are readily understood from Eqs. (23) and (24).
• M. Soltani, Novel integrated silicon nanophotonic structures using ultra-high Q resonator, Ph.D. dissertation, Georgia Institute of Technology (2009)
• M. Popovic, “Complex-frequency leaky mode computations using PML boundary layers for dielectric resonant structures,” in Proceedings of Integrated Photonics Research (Washington, DC, June 17, 2003).

Click here to see a list of articles that cite this paper

Related Journal Articles

• Wavelength conversion in GaAs micro-ring resonators (OL)
• Polarization dependence in waveguide-coupled micro-resonators (OE)
• Ring-resonator filters in silicon oxynitride technology for dense wavelength-division multiplexing systems (OL)
• Two physical mechanisms for boosting the quality factor to cavity volume ratio of photonic crystal microcavities (OE)
• Recirculation-enhanced switching in photonic crystal Mach-Zehnder interferometers (OE)

Related Conference Papers

• Tunable Slow-Wave Optical Delay-Lines
• Tunable Optical Delay on Silicon Chip with a Double-Ring Resonator
• Experimental Realization of an On-Chip All-Optical Analogue to Electromagnetically Induced Transparency
• Global Design Rules for Silicon Microphotonic Waveguides: Sensitivity, Polarization and Resonance Tunability
• Ultra-Widely Tunable Photonic Microcavities Through Evanescent Field Perturbation