Abstract

We analyze micro-ring resonator chains that have a system response with $N$-th order poles and zeroes when the chain consists of $N$ unit cells. These include the recently proposed zigzag micro-ring resonator chains exhibiting new fast- and slow- light properties and a dual ring chain for which the explicit expression of the system function is given. We discuss the realization of ultrahigh order structures with sharp peaks and large out-of-band rejection filters, ultra-sharp notch optical filters for optical carrier suppression and the general properties of slow and fast light phenomena in this type of systems. All the analyses are based on the pole-zero representation of the system function. A tuning mechanism for the modified dual-ring structures acting as notch filters is also proposed.

© 2011 IEEE

PDF Article

References

  • View by:
  • |
  • |

  1. J. Capmany, M. A. Muriel, "A new transfer matrix formalism for the analysis of fiber ring resonators: Compound coupled structures for FDMA," J. Lightw. Technol. 8, 1904-1918 (1990).
  2. J. Capmany, F. J. Fraile-Peláez, M. A. Muriel, "Optical bistability and differential amplification in nonlinear fiber resonators," IEEE J. Quantum Electron. 8, 2578-2588 (1994).
  3. J. Capmany, P. Muñoz, J. D. Domenech, M. A. Muriel, "Apodized coupled resonator waveguides," Opt. Exp. 15, 10196-10206 (2007).
  4. G. Lenz, C. K. Masden, "General optical all-pass filter structures for dispersion control in WDM systems," J. Lightw. Technol. 17, 1248-1254 (1999).
  5. C. Y. Chao, W. Fung, L. J. Guo, "Polymer microring resonators for biochemical sensing applications," IEEE J. Sel. Topics Quantum Electron. 12, 134-142 (2006).
  6. R. W. Boyd, D. J. Gauthier, A. L. Gaeta, "Applications of slow light in telecommunications," Opt. Photonics News 17, 18-23 (2006).
  7. J. E. Heebner, P. Chak, S. Pereira, J. E. Sipe, R. W. Boyd, "Distributed and localized feedback in microresonator sequences for linear and nonlinear optics," J. Opt. Soc. Amer. B 21, 1818-1832 (2004).
  8. S. Darmawan, Y. M. Landobasa, M.-K. Chin, "Pole-zero dynamics of high-order ring resonator filters," J. Lightw. Technol. 25, 1568-1575 (2007).
  9. F. J. Fraile-Pelaez, P. Chamorro-Posada, "Active control and stability of micro-ring resonator chains," Opt. Exp. 15, 3177-3189 (2007).
  10. J. E. Heebner, R. W. Boyd, "Slow and fast light in resonator-coupled waveguides," J. Mod. Opt. 49, 2629-2636 (2002).
  11. P. Chamorro-Posada, F. J. Fraile-Pelaez, "Fast and slow light in zigzag microring resonator chains," Opt. Lett. 34, 626-628 (2009).
  12. S. H. Tao, S. C. Mao, J. F. Song, Q. Fang, M. B. Yu, G. Q. Lo, D. L. Kwong, "Ultra-high order ring resonator system with sharp transmission peaks," Opt. Exp. 18, 393-400 (2010).
  13. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, J. P. Laine, "Microring resonator channel dropping filters," J. Lightw. Technol. 15, 998-1005 (1997).
  14. Y. Chen, S. Blair, "Nonlinearity enhancement in finite coupled-resonator slow-light waveguides," Opt. Exp. 12, 3353-3366 (2004).
  15. A. V. Oppenheim, R. W. Schafer, Discrete-Time Signal Processing (Prentice-Hall, 1989).
  16. G. Lenz, C. K. Madsen, "General optical all-pass filter structures for dispersion control in WDM systems," J. Lightw. Technol. 17, 1248-1254 (1999).
  17. J. B. Khurgin, "Dispersion and loss limitations on the performance of optical delay lines based on coupled resonant structures," Opt. Lett. 32, 133-135 (2007).
  18. J. Yu, G.-K. Chang, "A novel technique for optical label and payload generation and multiplexing using optical carrier suppression and separation," IEEE Photon. Technol. Lett. 16, 320-322 (2004).
  19. Z. Jia, J. Yu, G.-K. Chang, "A full-duplex radio-over-fiber system based on optical carrier suppression and reuse," IEEE Photon. Technol. Lett. 18, 1726-1728 (2006).
  20. Q. Chang, T. Ye, Y. Su, "Generation of optical carrier suppressed-differential phase shift keying (OCS-DPSK) forma using one dual-parallel Match-Zehnder modulator in radio over fiber systems," Opt. Exp. 16, 10421-10425 (2008).
  21. A. Loayssa, D. Benito, M. J. Garde, "Optical carrier-suppression technique with a Brillouin-erbium fiber laser," Opt. Lett. 25, 197-199 (2000).
  22. X. Yu, H. Zhang, X. Zheng, "High carrier suppression double sideband modulation using polarization state rotation filter and optical external modulator," Opt. Commun. 267, 83-87 (2006).
  23. D. Z. Anderson, V. Damiao, D. Popovic, Z. Popovic, S. Romisch, A. Sullivan, "${-}70$ dB optical carrier suppression by two-beam coupling in photorefractive media," Appl. Phys. B 72, 743-748 (2001).
  24. S.-Y. Cho, R. Soref, "Interferometric microring-resonant 2$\,\times\,$2 optical switches," Opt. Exp. 16, 13304-13314 (2008).

2010 (1)

S. H. Tao, S. C. Mao, J. F. Song, Q. Fang, M. B. Yu, G. Q. Lo, D. L. Kwong, "Ultra-high order ring resonator system with sharp transmission peaks," Opt. Exp. 18, 393-400 (2010).

2009 (1)

2008 (2)

S.-Y. Cho, R. Soref, "Interferometric microring-resonant 2$\,\times\,$2 optical switches," Opt. Exp. 16, 13304-13314 (2008).

Q. Chang, T. Ye, Y. Su, "Generation of optical carrier suppressed-differential phase shift keying (OCS-DPSK) forma using one dual-parallel Match-Zehnder modulator in radio over fiber systems," Opt. Exp. 16, 10421-10425 (2008).

2007 (4)

J. Capmany, P. Muñoz, J. D. Domenech, M. A. Muriel, "Apodized coupled resonator waveguides," Opt. Exp. 15, 10196-10206 (2007).

S. Darmawan, Y. M. Landobasa, M.-K. Chin, "Pole-zero dynamics of high-order ring resonator filters," J. Lightw. Technol. 25, 1568-1575 (2007).

F. J. Fraile-Pelaez, P. Chamorro-Posada, "Active control and stability of micro-ring resonator chains," Opt. Exp. 15, 3177-3189 (2007).

J. B. Khurgin, "Dispersion and loss limitations on the performance of optical delay lines based on coupled resonant structures," Opt. Lett. 32, 133-135 (2007).

2006 (4)

X. Yu, H. Zhang, X. Zheng, "High carrier suppression double sideband modulation using polarization state rotation filter and optical external modulator," Opt. Commun. 267, 83-87 (2006).

C. Y. Chao, W. Fung, L. J. Guo, "Polymer microring resonators for biochemical sensing applications," IEEE J. Sel. Topics Quantum Electron. 12, 134-142 (2006).

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, "Applications of slow light in telecommunications," Opt. Photonics News 17, 18-23 (2006).

Z. Jia, J. Yu, G.-K. Chang, "A full-duplex radio-over-fiber system based on optical carrier suppression and reuse," IEEE Photon. Technol. Lett. 18, 1726-1728 (2006).

2004 (3)

J. Yu, G.-K. Chang, "A novel technique for optical label and payload generation and multiplexing using optical carrier suppression and separation," IEEE Photon. Technol. Lett. 16, 320-322 (2004).

Y. Chen, S. Blair, "Nonlinearity enhancement in finite coupled-resonator slow-light waveguides," Opt. Exp. 12, 3353-3366 (2004).

J. E. Heebner, P. Chak, S. Pereira, J. E. Sipe, R. W. Boyd, "Distributed and localized feedback in microresonator sequences for linear and nonlinear optics," J. Opt. Soc. Amer. B 21, 1818-1832 (2004).

2002 (1)

J. E. Heebner, R. W. Boyd, "Slow and fast light in resonator-coupled waveguides," J. Mod. Opt. 49, 2629-2636 (2002).

2001 (1)

D. Z. Anderson, V. Damiao, D. Popovic, Z. Popovic, S. Romisch, A. Sullivan, "${-}70$ dB optical carrier suppression by two-beam coupling in photorefractive media," Appl. Phys. B 72, 743-748 (2001).

2000 (1)

A. Loayssa, D. Benito, M. J. Garde, "Optical carrier-suppression technique with a Brillouin-erbium fiber laser," Opt. Lett. 25, 197-199 (2000).

1999 (2)

G. Lenz, C. K. Madsen, "General optical all-pass filter structures for dispersion control in WDM systems," J. Lightw. Technol. 17, 1248-1254 (1999).

G. Lenz, C. K. Masden, "General optical all-pass filter structures for dispersion control in WDM systems," J. Lightw. Technol. 17, 1248-1254 (1999).

1997 (1)

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, J. P. Laine, "Microring resonator channel dropping filters," J. Lightw. Technol. 15, 998-1005 (1997).

1994 (1)

J. Capmany, F. J. Fraile-Peláez, M. A. Muriel, "Optical bistability and differential amplification in nonlinear fiber resonators," IEEE J. Quantum Electron. 8, 2578-2588 (1994).

1990 (1)

J. Capmany, M. A. Muriel, "A new transfer matrix formalism for the analysis of fiber ring resonators: Compound coupled structures for FDMA," J. Lightw. Technol. 8, 1904-1918 (1990).

Appl. Phys. B (1)

D. Z. Anderson, V. Damiao, D. Popovic, Z. Popovic, S. Romisch, A. Sullivan, "${-}70$ dB optical carrier suppression by two-beam coupling in photorefractive media," Appl. Phys. B 72, 743-748 (2001).

IEEE J. Quantum Electron. (1)

J. Capmany, F. J. Fraile-Peláez, M. A. Muriel, "Optical bistability and differential amplification in nonlinear fiber resonators," IEEE J. Quantum Electron. 8, 2578-2588 (1994).

IEEE Photon. Technol. Lett. (1)

Z. Jia, J. Yu, G.-K. Chang, "A full-duplex radio-over-fiber system based on optical carrier suppression and reuse," IEEE Photon. Technol. Lett. 18, 1726-1728 (2006).

IEEE J. Sel. Topics Quantum Electron. (1)

C. Y. Chao, W. Fung, L. J. Guo, "Polymer microring resonators for biochemical sensing applications," IEEE J. Sel. Topics Quantum Electron. 12, 134-142 (2006).

IEEE Photon. Technol. Lett. (1)

J. Yu, G.-K. Chang, "A novel technique for optical label and payload generation and multiplexing using optical carrier suppression and separation," IEEE Photon. Technol. Lett. 16, 320-322 (2004).

J. Lightw. Technol. (2)

G. Lenz, C. K. Madsen, "General optical all-pass filter structures for dispersion control in WDM systems," J. Lightw. Technol. 17, 1248-1254 (1999).

G. Lenz, C. K. Masden, "General optical all-pass filter structures for dispersion control in WDM systems," J. Lightw. Technol. 17, 1248-1254 (1999).

J. Opt. Soc. Amer. B (1)

J. E. Heebner, P. Chak, S. Pereira, J. E. Sipe, R. W. Boyd, "Distributed and localized feedback in microresonator sequences for linear and nonlinear optics," J. Opt. Soc. Amer. B 21, 1818-1832 (2004).

J. Lightw. Technol. (3)

S. Darmawan, Y. M. Landobasa, M.-K. Chin, "Pole-zero dynamics of high-order ring resonator filters," J. Lightw. Technol. 25, 1568-1575 (2007).

J. Capmany, M. A. Muriel, "A new transfer matrix formalism for the analysis of fiber ring resonators: Compound coupled structures for FDMA," J. Lightw. Technol. 8, 1904-1918 (1990).

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, J. P. Laine, "Microring resonator channel dropping filters," J. Lightw. Technol. 15, 998-1005 (1997).

J. Mod. Opt. (1)

J. E. Heebner, R. W. Boyd, "Slow and fast light in resonator-coupled waveguides," J. Mod. Opt. 49, 2629-2636 (2002).

Opt. Lett. (1)

A. Loayssa, D. Benito, M. J. Garde, "Optical carrier-suppression technique with a Brillouin-erbium fiber laser," Opt. Lett. 25, 197-199 (2000).

Opt. Commun. (1)

X. Yu, H. Zhang, X. Zheng, "High carrier suppression double sideband modulation using polarization state rotation filter and optical external modulator," Opt. Commun. 267, 83-87 (2006).

Opt. Exp. (6)

S.-Y. Cho, R. Soref, "Interferometric microring-resonant 2$\,\times\,$2 optical switches," Opt. Exp. 16, 13304-13314 (2008).

S. H. Tao, S. C. Mao, J. F. Song, Q. Fang, M. B. Yu, G. Q. Lo, D. L. Kwong, "Ultra-high order ring resonator system with sharp transmission peaks," Opt. Exp. 18, 393-400 (2010).

Y. Chen, S. Blair, "Nonlinearity enhancement in finite coupled-resonator slow-light waveguides," Opt. Exp. 12, 3353-3366 (2004).

Q. Chang, T. Ye, Y. Su, "Generation of optical carrier suppressed-differential phase shift keying (OCS-DPSK) forma using one dual-parallel Match-Zehnder modulator in radio over fiber systems," Opt. Exp. 16, 10421-10425 (2008).

J. Capmany, P. Muñoz, J. D. Domenech, M. A. Muriel, "Apodized coupled resonator waveguides," Opt. Exp. 15, 10196-10206 (2007).

F. J. Fraile-Pelaez, P. Chamorro-Posada, "Active control and stability of micro-ring resonator chains," Opt. Exp. 15, 3177-3189 (2007).

Opt. Lett. (2)

Opt. Photonics News (1)

R. W. Boyd, D. J. Gauthier, A. L. Gaeta, "Applications of slow light in telecommunications," Opt. Photonics News 17, 18-23 (2006).

Other (1)

A. V. Oppenheim, R. W. Schafer, Discrete-Time Signal Processing (Prentice-Hall, 1989).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.