Abstract

A method for synthesizing bandpass microring filters constructed of N serially coupled microring resonators is presented. The approach is based on the reduction of a chain of N serially coupled microrings to an equivalent prototype baseband LC ladder network. Standard analog-filter-synthesis techniques can then be applied to realize a desired filter transfer function. The proposed method is valid in the narrowband approximation and can be used to synthesize both amplitude and phase filters with the coupled resonators in either the add-drop or allpass configuration. The robustness of the proposed circuit-based method will be demonstrated by two examples: The first is the design of a transitional Chebyshev-Bessel filter, illustrating the useful technique of manipulating filter poles to achieve desired amplitude and phase responses; the second example is the synthesis of an Nth-order maximally flat delay allpass filter. The proposed method can also be applied to other types of serially coupled resonators such as Fabry-Pérot cavities and photonic crystal nanocavities to explore novel amplitude and phase filter applications.

© 2006 IEEE

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  1. 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 Photon. Technol. Lett., vol. 12, no. 3, pp. 320-322, Mar. 2000.
  2. F. Coppinger, C. K. Madsen and B. Jalali, "Photonic microwave filtering using coherently coupled integrated ring resonators", Microw. Opt. Technol. Lett., vol. 21, no. 2, pp. 90-93, Feb. 1999.
  3. S. T. Chu, B. E. Little, V. Van, J. V. Hryniewicz, P. P. Absil, F. G. Johnson, D. Gill, O. King, F. Seiferth, M. Trakalo and J. Shanton, "Compact full C-band tunable filters for 50 GHz channel spacing based on high-order micro-ring resonators", presented at the Optical Fiber Communication Conf., Atlanta, GA, Paper PDP9, Mar. 2004.
  4. 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 Photon. Technol. Lett., vol. 16, no. 10, pp. 2263-2265, Oct. 2004.
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  11. H. Y.-F. Lam, Analog and Digital Filters: Design and Realization, Englewood Cliffs, NJ: Prentice-Hall, 1979.
  12. V. Van, W. N. Herman and P.-T. Ho, "Linearized microring-loaded Mach-Zehnder modulator with RF gain", J. Lightw. Technol., vol. 24, no. 4, pp. 1850-1854, Apr. 2006.
  13. X. Xie, J. Khurgin, J. Kang and F.-S. Choa, "Ring-assisted frequency discriminator with improved linearity", IEEE Photon. Technol. Lett., vol. 14, no. 8, pp. 1136-1138, Aug. 2002.
  14. M. J. Khan, C. Manolatou, S. Fan, P. R. Villeneuve, H. A. Haus and J. D. Joannopoulos, "Mode-coupling analysis of multipole symmetric resonant add/drop filters", IEEE J. Quantum Electron., vol. 35, no. 10, pp. 1451-1460, Oct. 1999.

Other (14)

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 Photon. Technol. Lett., vol. 12, no. 3, pp. 320-322, Mar. 2000.

F. Coppinger, C. K. Madsen and B. Jalali, "Photonic microwave filtering using coherently coupled integrated ring resonators", Microw. Opt. Technol. Lett., vol. 21, no. 2, pp. 90-93, Feb. 1999.

S. T. Chu, B. E. Little, V. Van, J. V. Hryniewicz, P. P. Absil, F. G. Johnson, D. Gill, O. King, F. Seiferth, M. Trakalo and J. Shanton, "Compact full C-band tunable filters for 50 GHz channel spacing based on high-order micro-ring resonators", presented at the Optical Fiber Communication Conf., Atlanta, GA, Paper PDP9, Mar. 2004.

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 Photon. Technol. Lett., vol. 16, no. 10, pp. 2263-2265, Oct. 2004.

R. Orta, P. Savi, R. Tascone and D. Trinchero, "Synthesis of multiple-ring-resonator filters for optical systems", IEEE Photon. Technol. Lett., vol. 7, no. 12, pp. 1447-1449, Dec. 1995.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi and J.-P. Laine, "Microring resonator channel dropping filters", J. Lightw. Technol., vol. 15, no. 6, pp. 998-1005, Jun. 1997.

A. Melloni and M. Martinelli, "Synthesis of direct-coupled-resonators bandpass filters for WDM systems", J. Lightw. Technol., vol. 20, no. 2, pp. 296-303, Feb. 2002.

R. E. Collin, Foundations for Microwave Engineering, New York: McGraw-Hill, 1966.

G. L. Ragan, Microwave Transmission Circuits, New York: McGraw-Hill, 1948.

S. R. Parker, P. M. Chirlian and E. Peskin, "Continuants and the synthesis of low-pass resistively terminated LC ladder networks", IEEE Trans. Circuit Theory, vol. CT-13, no. 2, pp. 209-212, Jun. 1966.

H. Y.-F. Lam, Analog and Digital Filters: Design and Realization, Englewood Cliffs, NJ: Prentice-Hall, 1979.

V. Van, W. N. Herman and P.-T. Ho, "Linearized microring-loaded Mach-Zehnder modulator with RF gain", J. Lightw. Technol., vol. 24, no. 4, pp. 1850-1854, Apr. 2006.

X. Xie, J. Khurgin, J. Kang and F.-S. Choa, "Ring-assisted frequency discriminator with improved linearity", IEEE Photon. Technol. Lett., vol. 14, no. 8, pp. 1136-1138, Aug. 2002.

M. J. Khan, C. Manolatou, S. Fan, P. R. Villeneuve, H. A. Haus and J. D. Joannopoulos, "Mode-coupling analysis of multipole symmetric resonant add/drop filters", IEEE J. Quantum Electron., vol. 35, no. 10, pp. 1451-1460, Oct. 1999.

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