Abstract

The pole-zero diagram is a tool that has been widely employed in digital and electronic filter design. It greatly facilitates filter design by producing a simple and direct visualization of parametrical behaviors and general spectral characteristics. In this paper, we propose new methods of applying pole-zero diagrams to photonic filter design, aimed at tailoring spectral characteristics. In particular, we demonstrate the effectiveness of this method in designing ring resonator-based filters for application to optical wavelength interleavers and deinterleavers. We show that there exist close relations between the pole-zero diagram of an optical filter and its wavelength response, and derive pole-zero diagrams for filters with various ring resonator configurations. Further, we propose a novel graphical technique using pole-zero diagrams for optimizing filter performance. As a practical example to demonstrate the effectiveness of the pole-zero approach, we present a new wavelength interleaver design with low crosstalk. This design was realized by superimposing the pole-zero diagrams of parallel and series-coupled ring resonator arrays.

© 2004 IEEE

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  1. Y. Yanagase, S. Suzuki, T. Kokubun and S. T. Chu, "Vertical triple series-coupled microring resonator filter for passband flattening and expansion of free spectral range", Jpn. J. Appl. Phys., vol. 41, no. 2A, pp. L141-L143, 2002 .
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  15. C. J. Kaalund, Z. Jin, W. Li and G. D. Peng, "Novel optical wavelength interleaver based on symmetrically parallel-coupled and apodized ring resonator arrays", presented at the SPIE's 48th Annu. Meeting: Int. Symp. Optical Science and Technology, San Diego, CA, Aug. 2003.
  16. 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. , vol. 20, pp. 900-905, May 2002.

J. Lightwave Technol. (4)

C. Ozturk, A. Huntington, A. Aydinli, Y. T. Byun and N. Dagli, "Filtering characteristics of hybrid integrated polymer and compound semiconductor waveguides", J. Lightwave Technol., vol. 20, pp. 1530-1536, Aug. 2002.

E. M. Dowling and D. L. MacFarlane, "Lightwave lattice filters for optically multiplexed communication systems", J. Lightwave Technol., vol. 12, pp. 471-486, Mar. 1994.

L. N. Binh, N. Q. Ngo and S. F. Luk, "Graphical representation and analysis of the Z-shaped double-coupler optical resonator", J. Lightwave Technol., vol. 11, pp. 1782-1792, Nov. 1993.

K. Junguji, "Synthesis of coherent two-port optical delay-line circuit with ring waveguides", J. Lightwave Technol., vol. 14, pp. 1882-1898, Aug. 1996.

Other (12)

C. K. Madsen, "Efficient architectures for exactly realizing optical filters with optimum bandpass designs", IEEE Photon. Technol. Lett., vol. 10, pp. 1136-1138, Aug. 1998.

C. J. Kaalund, Z. Jin, W. Li and G. D. Peng, "Novel optical wavelength interleaver based on symmetrically parallel-coupled and apodized ring resonator arrays", presented at the SPIE's 48th Annu. Meeting: Int. Symp. Optical Science and Technology, San Diego, CA, Aug. 2003.

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. , vol. 20, pp. 900-905, May 2002.

Y. Yanagase, S. Suzuki, T. Kokubun and S. T. Chu, "Vertical triple series-coupled microring resonator filter for passband flattening and expansion of free spectral range", Jpn. J. Appl. Phys., vol. 41, no. 2A, pp. L141-L143, 2002 .

M. Oguma, T. Kitoh, Y. Inoue, T. Mizuno, T. Shibata, M. Kohtoku and Y. Hibino, "Compactly folded waveguide-type interleave filter with stabilized couplers", in Proc. Optical Fiber Telecommunications Conf. 2002, 2002, pp. 70-72.

A. Melloni, "Synthesis of a parallel-coupled ring-resonator filter", Opt. Lett., vol. 26, no. 12, pp. 917-919, 2001.

R. Harbers, "A passband-flattened integrated optical wavelength filter", M.S. thesis, Faculty of Applied Physics, University of Twente, the Netherlands, 2001.

F. C. Blom, D. R. van Dijk, H. J. W. M. Hoesktra, A. Driessen and T. J. A. Popma, "Experimental study of integrated-optics microcavity resonators: toward an all-optical switching device", Appl. Phys. Lett., vol. 71, no. 6, pp. 747-749, 1997.

C. K. Madsen and J. H. Zhao, Optical Filter Design and Analysis: A Signal Processing Approach, New York: Wiley, 1999.

A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing, Englewood Cliffs, NJ: Prentice-Hall, 1989.

J. Azana and L. R. Chen, "Multiwavelength optical signal processing using multistage ring resonators", IEEE Photon. Technol. Lett., vol. 14, pp. 654-656, May 2002.

L. N. Binh, N. X. Thien and N. Q. Ngo, "Realization of Butterworth-type optical filters using 3 × 3 coupler ring resonators", Proc. Inst. Elect. Eng. Optoelectron., vol. 143, no. 2, pp. 126-134, 1996.

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