Abstract

The theory of filter synthesis using periodically coupled microring resonators is developed as a means to overcome the fabrication sensitivities inherent in conventional higher-order filters, while still achieving desirable spectral characteristics. Each resonator in the array can compensate for deficiencies in any of the others. These filters exhibit a boxlike shape and very high extinction ratios.

© 2000 Optical Society of America

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References

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  1. S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
    [CrossRef]
  2. B. E. Little, S. T. Chu, W. Pan, and Y. Kokubun, “Microring resonator arrays for VLSI photonics,” Photonics Tech. Lett. (to be published).
  3. D. Rafizadeh, J. P. Zhang, S. C. Hagness, A. Taflove, K. A. Stair, and S. T. Ho, Opt. Lett. 22, 1244 (1997).
    [CrossRef] [PubMed]
  4. 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, IEEE Photon. Technol. Lett. 10, 549 (1998).
    [CrossRef]
  5. B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Yokubun, and E. P. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
    [CrossRef]
  6. D. V. Tishinin, P. D. Dapkus, A. E. Bond, I. Kim, C. K. Lin, and J. O’Brien, IEEE Photon. Technol. Lett. 11, 1003 (1999).
    [CrossRef]
  7. R. Orta, P. Savi, R. Tascone, and D. Trinchero, IEEE Photon. Technol. Lett. 7, 1447 (1995).
    [CrossRef]
  8. B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, IEEE J. Lightwave Technol. 15, 998 (1997).
    [CrossRef]
  9. C. K. Madsen and J. H. Zhao, Optical Filter Design and Analysis: A Signal Processing Approach (Wiley, New York, 1999).
    [CrossRef]
  10. S. T. Chu, B. E. Little, W. Pan, T. Kaneko, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 1426 (1999).
    [CrossRef]
  11. B. E. Little and C. Wu, IEEE Photon. Technol. Lett. 9, 76 (1997).

1999 (4)

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Yokubun, and E. P. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

D. V. Tishinin, P. D. Dapkus, A. E. Bond, I. Kim, C. K. Lin, and J. O’Brien, IEEE Photon. Technol. Lett. 11, 1003 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 1426 (1999).
[CrossRef]

1998 (1)

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

1997 (3)

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, IEEE J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

B. E. Little and C. Wu, IEEE Photon. Technol. Lett. 9, 76 (1997).

D. Rafizadeh, J. P. Zhang, S. C. Hagness, A. Taflove, K. A. Stair, and S. T. Ho, Opt. Lett. 22, 1244 (1997).
[CrossRef] [PubMed]

1995 (1)

R. Orta, P. Savi, R. Tascone, and D. Trinchero, IEEE Photon. Technol. Lett. 7, 1447 (1995).
[CrossRef]

Bond, A. E.

D. V. Tishinin, P. D. Dapkus, A. E. Bond, I. Kim, C. K. Lin, and J. O’Brien, IEEE Photon. Technol. Lett. 11, 1003 (1999).
[CrossRef]

Chu, S. T.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Yokubun, and E. P. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 1426 (1999).
[CrossRef]

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, IEEE J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

B. E. Little, S. T. Chu, W. Pan, and Y. Kokubun, “Microring resonator arrays for VLSI photonics,” Photonics Tech. Lett. (to be published).

Dapkus, P. D.

D. V. Tishinin, P. D. Dapkus, A. E. Bond, I. Kim, C. K. Lin, and J. O’Brien, IEEE Photon. Technol. Lett. 11, 1003 (1999).
[CrossRef]

Foresi, J.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, IEEE J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Foresi, J. S.

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Greene, W.

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Hagness, S. C.

Haus, H. A.

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, IEEE J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Ho, S. T.

Ippen, E. P.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Yokubun, and E. P. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Kaneko, T.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Yokubun, and E. P. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 1426 (1999).
[CrossRef]

Kim, I.

D. V. Tishinin, P. D. Dapkus, A. E. Bond, I. Kim, C. K. Lin, and J. O’Brien, IEEE Photon. Technol. Lett. 11, 1003 (1999).
[CrossRef]

Kimerling, L. C.

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Kokubun, Y.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 1426 (1999).
[CrossRef]

B. E. Little, S. T. Chu, W. Pan, and Y. Kokubun, “Microring resonator arrays for VLSI photonics,” Photonics Tech. Lett. (to be published).

Laine, J.-P.

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, IEEE J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

Lin, C. K.

D. V. Tishinin, P. D. Dapkus, A. E. Bond, I. Kim, C. K. Lin, and J. O’Brien, IEEE Photon. Technol. Lett. 11, 1003 (1999).
[CrossRef]

Little, B. E.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Yokubun, and E. P. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 1426 (1999).
[CrossRef]

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, IEEE J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

B. E. Little and C. Wu, IEEE Photon. Technol. Lett. 9, 76 (1997).

B. E. Little, S. T. Chu, W. Pan, and Y. Kokubun, “Microring resonator arrays for VLSI photonics,” Photonics Tech. Lett. (to be published).

Madsen, C. K.

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

O’Brien, J.

D. V. Tishinin, P. D. Dapkus, A. E. Bond, I. Kim, C. K. Lin, and J. O’Brien, IEEE Photon. Technol. Lett. 11, 1003 (1999).
[CrossRef]

Orta, R.

R. Orta, P. Savi, R. Tascone, and D. Trinchero, IEEE Photon. Technol. Lett. 7, 1447 (1995).
[CrossRef]

Pan, W.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Yokubun, and E. P. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 1426 (1999).
[CrossRef]

B. E. Little, S. T. Chu, W. Pan, and Y. Kokubun, “Microring resonator arrays for VLSI photonics,” Photonics Tech. Lett. (to be published).

Rafizadeh, D.

Ripin, D.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Yokubun, and E. P. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

Sato, S.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

Savi, P.

R. Orta, P. Savi, R. Tascone, and D. Trinchero, IEEE Photon. Technol. Lett. 7, 1447 (1995).
[CrossRef]

Stair, K. A.

Steinmeyer, G.

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Taflove, A.

Tascone, R.

R. Orta, P. Savi, R. Tascone, and D. Trinchero, IEEE Photon. Technol. Lett. 7, 1447 (1995).
[CrossRef]

Thoen, E. R.

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

Tishinin, D. V.

D. V. Tishinin, P. D. Dapkus, A. E. Bond, I. Kim, C. K. Lin, and J. O’Brien, IEEE Photon. Technol. Lett. 11, 1003 (1999).
[CrossRef]

Trinchero, D.

R. Orta, P. Savi, R. Tascone, and D. Trinchero, IEEE Photon. Technol. Lett. 7, 1447 (1995).
[CrossRef]

Wu, C.

B. E. Little and C. Wu, IEEE Photon. Technol. Lett. 9, 76 (1997).

Yokubun, Y.

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Yokubun, and E. P. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

Zhang, J. P.

Zhao, J. H.

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

IEEE J. Lightwave Technol. (1)

B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, IEEE J. Lightwave Technol. 15, 998 (1997).
[CrossRef]

IEEE Photon. Technol. Lett. (7)

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 691 (1999).
[CrossRef]

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, IEEE Photon. Technol. Lett. 10, 549 (1998).
[CrossRef]

B. E. Little, S. T. Chu, W. Pan, D. Ripin, T. Kaneko, Y. Yokubun, and E. P. Ippen, IEEE Photon. Technol. Lett. 11, 215 (1999).
[CrossRef]

D. V. Tishinin, P. D. Dapkus, A. E. Bond, I. Kim, C. K. Lin, and J. O’Brien, IEEE Photon. Technol. Lett. 11, 1003 (1999).
[CrossRef]

R. Orta, P. Savi, R. Tascone, and D. Trinchero, IEEE Photon. Technol. Lett. 7, 1447 (1995).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, and Y. Kokubun, IEEE Photon. Technol. Lett. 11, 1426 (1999).
[CrossRef]

B. E. Little and C. Wu, IEEE Photon. Technol. Lett. 9, 76 (1997).

Opt. Lett. (1)

Other (2)

B. E. Little, S. T. Chu, W. Pan, and Y. Kokubun, “Microring resonator arrays for VLSI photonics,” Photonics Tech. Lett. (to be published).

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

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Figures (6)

Fig. 1
Fig. 1

(a) Periodically coupled microring resonator filter. (b) DFB grating analogy of the periodic resonator array.

Fig. 2
Fig. 2

Detailed description of the parameters used to describe the coupling and power flow in ring n. κni and κno are the amplitude coupling values between ring n and the input and output drop waveguides, respectively. rni is the reflection response of ring n in isolation. tni and tno are the straight-through responses of ring n along the input and the drop bus waveguides, respectively. fn is the net reflection of the subarray consisting of rings 1 to n.

Fig. 3
Fig. 3

Comparison of the reflection responses (bold curves) and the throughput responses (light curves) of a single-ring resonator and a seven-ring periodically coupled filter array with no apodization.

Fig. 4
Fig. 4

Comparison of the reflection responses (bold curves) and the throughput responses (light curves) of a single-ring resonator and a seven-ring periodically coupled filter with Gaussian apodization.

Fig. 5
Fig. 5

Filter responses of chirped and unchirped seven-ring periodically coupled filters.

Fig. 6
Fig. 6

Filter responses as shown in Fig. 4 in the presence of loss. Although the passband of the seven-ring filter suffers more attenuation than the single-ring filter, the throughput extinction remains very high.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

fn=rn-tnitnorn-fn-1-1 expj2θn-1,
rn=-μniμnojΔω+12μni,o2+12μni,o2,
tni,o=rn-μni,o2jΔω+12μni,o2+12μni,o2,

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