Abstract

The reflection properties of a coupled-ring reflector (CRR) are analyzed using the transfer matrix method. The CRR is composed of two coupled rings that are coupled to a bus waveguide. Depending on the combination of the cross-coupling ratios of the couplers, the reflection spectrum shape changes greatly. In the lossless case, the reflection spectrum has four peaks when the ring-bus coupling ratio is small. When the ring-bus coupling ratio is more than half and the ring-ring coupling is very small, the four peaks broaden, forming a single peak with still considerably narrow reflection spectrum, which makes the CRR attractive in applications requiring compact reflectors such as for single-mode laser diodes. The dependence of the propagation and insertion losses of the couplers on the reflection spectrum is also investigated, and the design guidelines are presented.

© 2006 IEEE

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Other (21)

J. Capmany, C. Doerr, K. Okamoto and M. K. Smit, "Introduction to the special issue on arrayed grating routers/WDM mux/demuxs and related applications/uses," IEEE J. Sel. Topics Quantum Electron., vol. 8, no. 6, pp. 1087-1089, Nov./Dec. 2002.

Y. Hibino, "Recent advances in high-density and large-scale AWG multi/demultiplexers with higher index-contrast silica-based PLCs," IEEE J. Sel. Topics Quantum Electron., vol. 8, no. 6, pp. 1090-1101, Nov./Dec. 2002.

Y. Yoshikuni, "Semiconductor arrayed waveguide gratings for photonic integrated devices," IEEE J. Sel. Topics Quantum Electron., vol. 8, no. 6, pp. 1102-1114, Nov./Dec. 2002.

M. K. Smit and C. van Dam, "PHASAR-based WDM-devices: Principles, design and applications," IEEE J. Sel. Topics Quantum Electron., vol. 2, no. 2, pp. 236-250, Jan. 1996.

J. S. Barton, E. J. Skogen, M. L. Mašanovic, S. P. Denbaars and L. A. Coldren, "A widely tunable high-speed transmitter using an integrated SGDBR laser-semiconductor optical amplifier and Mach-Zehnder modulator," IEEE J. Sel. Topics Quantum Electron., vol. 9, no. 5, pp. 1113-1117, Sep./Oct. 2003.

E. A. J. M. Bente, Y. Barbarin, J. H. Besten, M. K. Smit and J. J. M. Binsma, "Wavelength selection in an integrated multiwavelength ring laser," IEEE J. Quantum Electron., vol. 40, no. 9, pp. 1208-1216, Sep. 2004.

Y. Hatakeyama, T. Hanai, S. Suzuki and Y. Kokubun, "Loss-less multilevel crossing of busline waveguide in vertically coupled microring resonator filter," IEEE Photon. Technol. Lett., vol. 16, no. 2, pp. 473-475, Feb. 2004.

B. E. Little, et al. "Very high-order microring resonator filters for WDM applications," IEEE Photon. Technol. Lett., vol. 16, no. 10, pp. 2263-2265, Oct. 2004.

J. K. S. Poon, Y. Huang, G. T. Palocz and A. Yariv, "Soft lithography replica molding of critically coupled polymer microring resonators," IEEE Photon. Technol. Lett., vol. 16, no. 11, pp. 2496-2498, Nov. 2004.

P. Rabiei, W. H. Steier, C. Zhang and L. R. Dalton, "Polymer micro-ring filters and modulators," J. Lightw. Technol., vol. 20, no. 11, pp. 1968-1975, Nov. 2002.

P. Rabiei and W. H. Steier, "Tunable polymer double micro-ring filters," IEEE Photon. Technol. Lett., vol. 15, no. 9, pp. 1255-1257, Sep. 2003.

J. K. S. Poon, J. Scheuer and A. Yariv, "Wavelength-selective reflector based on a circular array of coupled microring resonators," IEEE Photon. Technol. Lett., vol. 16, no. 5, pp. 1331-1333, May 2004.

A. Yariv, "Critical coupling and its control in optical waveguide-ring resonator systems," IEEE Photon. Technol. Lett., vol. 14, no. 4, pp. 483-485, Apr. 2000.

T. A. Ibrahim, W. Cao, Y. Kim, J. Li, J. Goldhar, P.-T. Ho and C. H. Lee, "All-optical switching in a laterally coupled microring resonator by carrier injection," IEEE Photon. Technol. Lett., vol. 15, no. 1, pp. 36-38, Jan. 2003.

J. K. S. Poon, J. Scheuer, S. Mookherjea, G. T. Paloczi, Y. Huang and A. Yariv, "Matrix analysis of microring coupled-resonator optical waveguides," Opt. Express, vol. 12, no. 1, pp. 90-103, Jan. 2004.

B. E. Little, S. T. Chu and H. A. Haus, "Second-order filtering and sensing with partially coupled traveling waves in a single resonator," Opt. Lett., vol. 23, no. 20, pp. 1570-1572, Oct. 1998.

G. T. Paloczi, J. Scheuer and A. Yariv, "Compact microring-based wavelength-selective inline optical reflector," IEEE Photon. Technol. Lett., vol. 17, no. 2, pp. 390-392, Feb. 2005.

Y. Chung, D. G. Kim and N. Dagli, "Analysis of wavelength-selective reflector composed of two coupled ring resonators," presented at the Integrated Photonics Research and Applications, San Diego, CA, Paper ITuD5, Apr. 2005.

Y. Chung, D. G. Kim and N. Dagli, "Widely tunable coupled-ring reflector laser diode," IEEE Photon. Technol. Lett., vol. 17, no. 9, pp. 1773-1775, Sep. 2005.

S. J. Choi, Z. Peng, Q. Yang, E. H. Hwang and P. D. Dapkus, "A semiconductor tunable laser using a wavelength selective reflector based on ring resonators," presented at the Optical Fiber Conf., Anaheim, CA, Post-deadline Paper PDP20, Feb. 2005.

I. Chremmos and N. Uzunoglu, "Reflective properties of double-ring resonator system coupled to a waveguide," IEEE Photon. Technol. Lett., vol. 17, no. 10, pp. 2110-2112, Oct. 2005.

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