Abstract

A simple technique for the exact synthesis of selective bandpass filters for wavelength division multiplexing (WDM) systems is presented. The filters consist of direct-coupled ring resonators or cascaded Bragg gratings. The proposed technique permits the calculation of the physical dimensions of the optical structures given the desired frequency response of the filter in terms of bandwidth, free spectral range, out-of-band rejection, and frequency characteristic. The technique, explained in detail for Butterworth and Chebyshev frequency responses, is exact, uses closed-form formulae, and is physically well based. The resulting devices are very compact, have a high out-of-band attenuation, and are suitable for high-density integrated optics. Several filters for applications such as channel add-drop, channel selection,demultiplexing, multichannel filtering, and interleavers are designed, analyzed,and discussed in the paper.

© 2002 IEEE

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Appl. Opt. (1)

J. Lightwave Technol. (9)

S. C. Hagness, D. Rafizadeh, S. T. Ho and A. Taflove, "FDTD microcavity simulations: Design and experimental realization of waveguide-coupled single-mode ring and whispering-gallery-mode disk resonators", J. Lightwave Technol., vol. 15, pp. 2154-2165, Nov. 1997.

S. Suzuki, K. Oda and Y. Hibino, "Integrated-optic douple ring resonators with a wide free spectral range of 100 GHz", J. Lightwave Technol., vol. 13, pp. 1766-1771, Aug. 1995.

D. J. Ripin, K. Lim, G. S. Petrich, P. R. Villeneuve, S. Fan, E. R. Thoen, J. D. Joannopoulos, E. P. Ippen and L. A. Kolodziejski, "One-dimensional photonic bandgap microcavities for strong optical confinement in GaAs and GaAs/AlxOy semiconductor waveguides", J. Lightwave Technol., vol. 17, pp. 2152-2160, Nov. 1999 .

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi and J.-P. Laine, "Microring resonator channel dropping filters", J. Lightwave Technol., vol. 15, pp. 998-1005, June 1997 .

C. K. Madsen and J. H. Zhao, "A general planar waveguide autoregressive optical filter", J. Lightwave Technol., vol. 14, pp. 437-446, Mar. 1996 .

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.

R. Zengerle and O. Leminger, "Phase-shifted Bragg-grating filters with improved transmission characteristics", J. Lightwave Technol., vol. 13, pp. 2354-2358, Dec. 1995.

F. Bakhti and P. Sansonetti, "Design and realization of multiple quarter-wave phase-shifts UV-written bandpass filters in optical fibers", J. Lightwave Technol., vol. 15, pp. 1433-1437, Aug. 1997.

W. Wang, R. Scotti and D. J. Muehlner, "Phase compensation of bent silica-glass optical channel waveguide devices by vector-wave mode-matching method", J. Lightwave Technol., vol. 15, pp. 538-545, Mar. 1997.

Opt. Lett. (1)

Other (12)

R. Kashyap, Fiber Bragg Gratings, New York: Academic, 1999.

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

E. A. J. Marcatili, "Bends in optical dielectric waveguide", Bell Syst. Tech. J., vol. 48, pp. 2103-2132, 1969.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Thoen, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling and W. Greene, "Ultra-compact Si-SiO 2 microring resonator optical channel dropping filters", IEEE Photon. Technol. Lett., vol. 10, pp. 549 -551, Apr. 1998.

H. A. Haus and Y. Lai, "Theory of cascaded quarter wave shifted distributed feedback resonators", IEEE J. Quantum Electron., vol. 1, p. 205, Jan. 1992 .

A. Melloni, M. Floridi and M. Martinelli, "Synthesis of direct-coupled-resonators bandpass photonic filters", in Proc. LEOS 2000 13th Annu. Meet., Rio Grande, Puerto Rico,Nov. <day>13-16</day> 2000, ThC4,. pp. 704-705.

G. L. Matthaei, L. Young and E. M. T. Jones, Microwave Filters, Impedance Matching Networks and Coupling Structures, New York: McGraw-Hill, 1964.

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

M. Rattier, H. Benisty, C. J. M. Smith, A. Beraud, D. Cassagne, C. Jouanin, T. F. Krauss and C. Weisbuch, "Performance of waveguide-based two-dimensional photonic crystal mirrors studied with Fabry-Perot resonators", IEEE J. Quantum Electron., vol. 37, pp. 237-243, Feb. 2001 .

A. Melloni, R. Costa and M. Martinelli, "Synthesis technique for direct-coupled-resonators bandpass filters", in Integrated Photonics Research, Monterey, CA, 2001,ITuB1.

R. Orta, P. Savi, R. Tascone and D. Trinchero, "Synthesis of multiple-ring-resonator filter for optical systems", IEEE Photon. Technol. Lett., vol. 7, pp. 1447-1449, Dec. 1995.

T. Kudou, K. Shimizu, K. Harada and T. Ozeki, "Synthesis of grating lattice circuits", J. Lightwave Technol., vol. 2, p. 347, Feb. 1999.

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