Abstract

We present a general analysis of channel drop filter structures composed of two waveguides and an optical resonator system. We show that 100% transfer between the two waveguides can occur by creating resonant states of different symmetry, and by forcing an accidental degeneracy between them. The degeneracy must exist in both the real and imaginary parts of the frequency. Based on the analysis we present novel photonic crystal channel drop filters. Numerical simulations demonstrate that these filters exhibit ideal transfer characteristics.

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  1. R. Adar, C. H. Henry, C. Dragone, R. C. Kistler, and M. A. Milbrodt, OBroad-band array multiplexers made with silica waveguides on silicon,O J. Lightwave Technol. 11, 212 (1993).
  2. H. A. Haus and Y. Lai, ONarrow-band optical channel-dropping filter,O J. Lightwave Technol. 10, 57 (1992).
  3. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J. -P. Laine, "Microring resonator channel dropping filters," J. Lightwave Technol. 15, 998 (1997).
  4. B. E. Little, S. T. Chu, and H. A. Haus, "Estimated surface roughness loss and output coupling in microdisk resonators," Opt. Lett. 21, 1390 (1996).
  5. P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Microcavities in photonic crystals: mode symmetry, tunability and coupling efficiency," Phys. Rev. B 54, 7837 (1996).
  6. S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Theoretical investigation of fabrication-related disorder on the properties of photonic crystals," J. Appl. Phys. 78, 1415 (1995).
  7. S. Fan, P. R. Villeneuve, J. D. Joannopoulos and H. A. Haus, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960 (1998).
  8. S. Fan, P. R. Villeneuve, J. D. Joannopoulos and H. A. Haus (unpublished).
  9. For a review, see K. S. Kunz and R. J. Luebbers, The finite-difference time-domain methods (CRC Press, Boca Raton, 1993).
  10. J. C. Chen and K. Li, "Quartic perfectly matched layers for dielectric waveguides and gratings," Microw. Opt. Technol. Lett. 10, 319 (1995).

Other (10)

R. Adar, C. H. Henry, C. Dragone, R. C. Kistler, and M. A. Milbrodt, OBroad-band array multiplexers made with silica waveguides on silicon,O J. Lightwave Technol. 11, 212 (1993).

H. A. Haus and Y. Lai, ONarrow-band optical channel-dropping filter,O J. Lightwave Technol. 10, 57 (1992).

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

B. E. Little, S. T. Chu, and H. A. Haus, "Estimated surface roughness loss and output coupling in microdisk resonators," Opt. Lett. 21, 1390 (1996).

P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, "Microcavities in photonic crystals: mode symmetry, tunability and coupling efficiency," Phys. Rev. B 54, 7837 (1996).

S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Theoretical investigation of fabrication-related disorder on the properties of photonic crystals," J. Appl. Phys. 78, 1415 (1995).

S. Fan, P. R. Villeneuve, J. D. Joannopoulos and H. A. Haus, "Channel drop tunneling through localized states," Phys. Rev. Lett. 80, 960 (1998).

S. Fan, P. R. Villeneuve, J. D. Joannopoulos and H. A. Haus (unpublished).

For a review, see K. S. Kunz and R. J. Luebbers, The finite-difference time-domain methods (CRC Press, Boca Raton, 1993).

J. C. Chen and K. Li, "Quartic perfectly matched layers for dielectric waveguides and gratings," Microw. Opt. Technol. Lett. 10, 319 (1995).

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