Abstract

A method for obtaining the optimal canonic design of optical filters based on parallel-cascaded arrays of symmetric two-port microring networks is presented. The approach is based on the all-pass decomposition of the parallel-cascaded microring architecture, whereby the filter is transformed into an equivalent sum-difference all-pass microring circuit via a similarity transformation of the transfer matrix. The sum-difference transformation also helps reveal important properties of the parallel-cascaded microring architecture, such as the doubly complementary nature of its transfer functions, and the existence and uniqueness of the canonic form of parallel-cascaded arrays of symmetric microring networks.

© 2009 IEEE

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2008 (2)

H. L. Liew, V. Van, "Exact realization of optical transfer functions with symmetric transmission zeros using the double-microring ladder architecture," J. Lightw. Technol. 26, 2323-2331 (2008).

A. M. Prabhu, H. L. Liew, V. Van, "Generalized parallel-cascaded microring networks for spectral engineering applications," J. Opt. Soc. Am. B 25, 1505-1514 (2008).

2007 (2)

V. Van, "Synthesis of elliptic optical filters using mutually-coupled microring resonators," J. Lightw. Technol. 25, 584-590 (2007).

A. M. Prabhu, V. Van, "Realization of asymmetric optical filters using asynchronous coupled-microring resonators," Opt. Express 15, 9645-9658 (2007).

2006 (2)

S. Darmawan, Y. M. Landobasa, M.-K. Chin, "Nested ring Mach–Zehnder interferometer," Opt. Express 15, 437-448 (2006).

V. Van, "Circuit-based method for synthesizing serially-coupled microring filters," J. Lightw. Technol. 24, 2912-2919 (2006).

2005 (1)

Y. M. Landobasa, S. Darmawan, M.-K. Chin, "Matrix analysis of 2-D microresonator lattice optical filters," IEEE J. Quantum Electron. 41, 1410-1418 (2005).

2001 (1)

2000 (1)

C. K. Madsen, "General IIR optical filter design for WDM applications using all-pass filters," J. Lightw. Technol. 18, 860-868 (2000).

1999 (1)

M. J. Khan, C. Manolatou, S. Fan, P. R. Villeneuve, H. A. Haus, J. D. Joannopoulos, "Mode-coupling analysis of multipole symmetric resonant add/drop filters," IEEE. J. Quantum Electron. 35, 1451-1460 (1999).

1998 (1)

C. K. Madsen, "Efficient architectures for exactly realizing optical filters with optimum bandpass design," IEEE Photon. Technol. Lett. 10, 1136-1138 (1998).

1996 (1)

K. Jinguji, "Synthesis of coherent two-port optical delay-line circuit with ring waveguides," J. Lightw. Technol. 14, 1882-1898 (1996).

1995 (1)

R. Orta, P. Savi, R. Tascone, D. Trinchero, "Synthesis of multiple-ring-resonator filters for optical systems," IEEE Photon. Technol. Lett. 7, 1447-1449 (1995).

1988 (1)

P. A. Regalia, S. K. Mitra, P. P. Vaidyanathan, "The digital all-pass filter: A versatile signal processing building block," Proc. IEEE 76, 1-37 (1988).

1978 (1)

H. G. Martinez, T. W. Parks, "Design of recursive digital filters with optimum magnitude and attenuation poles on the unit circle," IEEE Trans. Acoustics, Speech Signal Proc. ASSP-26, 150-156 (1978).

IEEE J. Quantum Electron. (1)

Y. M. Landobasa, S. Darmawan, M.-K. Chin, "Matrix analysis of 2-D microresonator lattice optical filters," IEEE J. Quantum Electron. 41, 1410-1418 (2005).

IEEE Photon. Technol. Lett. (2)

R. Orta, P. Savi, R. Tascone, D. Trinchero, "Synthesis of multiple-ring-resonator filters for optical systems," IEEE Photon. Technol. Lett. 7, 1447-1449 (1995).

C. K. Madsen, "Efficient architectures for exactly realizing optical filters with optimum bandpass design," IEEE Photon. Technol. Lett. 10, 1136-1138 (1998).

IEEE Trans. Acoustics, Speech Signal Proc. (1)

H. G. Martinez, T. W. Parks, "Design of recursive digital filters with optimum magnitude and attenuation poles on the unit circle," IEEE Trans. Acoustics, Speech Signal Proc. ASSP-26, 150-156 (1978).

IEEE. J. Quantum Electron. (1)

M. J. Khan, C. Manolatou, S. Fan, P. R. Villeneuve, H. A. Haus, J. D. Joannopoulos, "Mode-coupling analysis of multipole symmetric resonant add/drop filters," IEEE. J. Quantum Electron. 35, 1451-1460 (1999).

J. Lightw. Technol. (5)

K. Jinguji, "Synthesis of coherent two-port optical delay-line circuit with ring waveguides," J. Lightw. Technol. 14, 1882-1898 (1996).

H. L. Liew, V. Van, "Exact realization of optical transfer functions with symmetric transmission zeros using the double-microring ladder architecture," J. Lightw. Technol. 26, 2323-2331 (2008).

C. K. Madsen, "General IIR optical filter design for WDM applications using all-pass filters," J. Lightw. Technol. 18, 860-868 (2000).

V. Van, "Synthesis of elliptic optical filters using mutually-coupled microring resonators," J. Lightw. Technol. 25, 584-590 (2007).

V. Van, "Circuit-based method for synthesizing serially-coupled microring filters," J. Lightw. Technol. 24, 2912-2919 (2006).

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

Opt. Express (2)

Opt. Lett. (1)

Proc. IEEE (1)

P. A. Regalia, S. K. Mitra, P. P. Vaidyanathan, "The digital all-pass filter: A versatile signal processing building block," Proc. IEEE 76, 1-37 (1988).

Other (1)

M. A. Popovich, "Sharply-defined optical filters and dispersionless delay lines based on loop-coupled resonators and ‘negative’ coupling," IEEE Conf. on Lasers and Electro-Optics (2007).

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