Abstract

To improve the input-output coupling loss of a vertically coupled microring resonator filter, we fabricated microring resonators on an antiresonant reflecting optical waveguide (ARROW) with a large spot size and on the rectangular busline waveguide with a spot-size transformer. The spot size and the tapered structure were optimally designed from the viewpoint of spot-size matching to single-mode fibers and the reduction of radiation loss. Clear dropping responses were demonstrated for the ARROW-based microring resonator filters, and the coupling loss was successfully reduced by 22 dB.

© 2002 Optical Society of America

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References

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  1. S. Suzuki, K. Shuto, Y. Hibino, “Integrated optic ring resonators with two stacked layers of silica waveguides on Si,” IEEE Photon. Technol. Lett. 4, 1256–1258 (1992).
    [CrossRef]
  2. B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.
  3. C. K. Madsen, “Efficient architectures for exactly realizing optical filters with optimum bandpass designs,” IEEE Photon. Technol. Lett. 10, 1136–1138 (1998).
    [CrossRef]
  4. S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, Y. Kokubun, “An eight-channel add-drop filter using vertically coupled microring resonators over a cross grid,” IEEE Photon. Technol. Lett. 11, 691–693 (1999).
    [CrossRef]
  5. S. T. Chu, B. E. Little, W. Pan, T. Kaneko, Y. Kokubun, “Second-order filter response from parallel coupled glass microring resonators,” IEEE Photon. Technol. Lett. 11, 1423–1425 (1999).
  6. W. Pan, S. T. Chu, S. Sato, T. Maeda, T. Kato, Y. Kokubun, “Planarization of film deposition and improvement of channel structure for fabrication of anti-resonant reflecting optical waveguide type x-crossing vertical coupler filter,” Jpn. J. Appl. Phys. 37, 3713–3717 (1998).
    [CrossRef]
  7. Y. Kokubun, T. Baba, T. Sakaki, K. Iga, “Low-loss antiresonant reflecting optical waveguide on Si substrate in visible-wavelength region,” Electron. Lett. 22, 892–893 (1986).
    [CrossRef]
  8. Y. Kokubun, S. Tamura, “Precise recursive formula for calculating spot size in optical waveguides and accurate evaluation of splice loss,” Appl. Opt. 34, 6862–6873 (1995).
    [CrossRef] [PubMed]
  9. W. P. Huang, C. L. Xu, W. Lui, K. Yokoyama, “The perfectly matched layer boundary condition for modal analysis of optical waveguides,” IEEE Photon. Technol. Lett. 4, 652–654 (1996).
    [CrossRef]
  10. T. Baba, Y. Kokubun, “New polarization-insensitive antiresonant optical waveguide (ARROW-B),” IEEE Photon. Technol. Lett. 1, 232–234 (1989).
    [CrossRef]
  11. T. Baba, Y. Kokubun, Y. Mera, “A novel 3-dimensional ARROW by thin film patterning-stripe lateral confinement of ARROW,” in Integrated Guided-Wave Optics, Vol. 4 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989) paper TuBB5, pp. 164–167.
  12. T. Baba, Y. Kokubun, “Dispersion and radiation loss characteristics of antiresonant reflecting optical waveguides—numerical results and analytical expressions,” IEEE J. Quantum Electron. 28, 1689–1700 (1992).
    [CrossRef]
  13. N. Yamaguchi, Y. Kokubun, K. Sato, “Low-loss spot-size transformer by dual tapered waveguides (DTW-SST),” J. Lightwave Technol. 8, 587–594 (1990).
    [CrossRef]
  14. W. K. Burns, A. F. Milton, “Waveguide transitions and junctions,” in Guided-Wave Optoelectronics, T. Tamir, ed. (Springer-Verlag, Berlin, 1988), Chap. 3.
    [CrossRef]

1999 (2)

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, Y. Kokubun, “An eight-channel add-drop filter using vertically coupled microring resonators over a cross grid,” IEEE Photon. Technol. Lett. 11, 691–693 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, Y. Kokubun, “Second-order filter response from parallel coupled glass microring resonators,” IEEE Photon. Technol. Lett. 11, 1423–1425 (1999).

1998 (3)

W. Pan, S. T. Chu, S. Sato, T. Maeda, T. Kato, Y. Kokubun, “Planarization of film deposition and improvement of channel structure for fabrication of anti-resonant reflecting optical waveguide type x-crossing vertical coupler filter,” Jpn. J. Appl. Phys. 37, 3713–3717 (1998).
[CrossRef]

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

C. K. Madsen, “Efficient architectures for exactly realizing optical filters with optimum bandpass designs,” IEEE Photon. Technol. Lett. 10, 1136–1138 (1998).
[CrossRef]

1996 (1)

W. P. Huang, C. L. Xu, W. Lui, K. Yokoyama, “The perfectly matched layer boundary condition for modal analysis of optical waveguides,” IEEE Photon. Technol. Lett. 4, 652–654 (1996).
[CrossRef]

1995 (1)

1992 (2)

S. Suzuki, K. Shuto, Y. Hibino, “Integrated optic ring resonators with two stacked layers of silica waveguides on Si,” IEEE Photon. Technol. Lett. 4, 1256–1258 (1992).
[CrossRef]

T. Baba, Y. Kokubun, “Dispersion and radiation loss characteristics of antiresonant reflecting optical waveguides—numerical results and analytical expressions,” IEEE J. Quantum Electron. 28, 1689–1700 (1992).
[CrossRef]

1990 (1)

N. Yamaguchi, Y. Kokubun, K. Sato, “Low-loss spot-size transformer by dual tapered waveguides (DTW-SST),” J. Lightwave Technol. 8, 587–594 (1990).
[CrossRef]

1989 (1)

T. Baba, Y. Kokubun, “New polarization-insensitive antiresonant optical waveguide (ARROW-B),” IEEE Photon. Technol. Lett. 1, 232–234 (1989).
[CrossRef]

1986 (1)

Y. Kokubun, T. Baba, T. Sakaki, K. Iga, “Low-loss antiresonant reflecting optical waveguide on Si substrate in visible-wavelength region,” Electron. Lett. 22, 892–893 (1986).
[CrossRef]

Baba, T.

T. Baba, Y. Kokubun, “Dispersion and radiation loss characteristics of antiresonant reflecting optical waveguides—numerical results and analytical expressions,” IEEE J. Quantum Electron. 28, 1689–1700 (1992).
[CrossRef]

T. Baba, Y. Kokubun, “New polarization-insensitive antiresonant optical waveguide (ARROW-B),” IEEE Photon. Technol. Lett. 1, 232–234 (1989).
[CrossRef]

Y. Kokubun, T. Baba, T. Sakaki, K. Iga, “Low-loss antiresonant reflecting optical waveguide on Si substrate in visible-wavelength region,” Electron. Lett. 22, 892–893 (1986).
[CrossRef]

T. Baba, Y. Kokubun, Y. Mera, “A novel 3-dimensional ARROW by thin film patterning-stripe lateral confinement of ARROW,” in Integrated Guided-Wave Optics, Vol. 4 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989) paper TuBB5, pp. 164–167.

Burns, W. K.

W. K. Burns, A. F. Milton, “Waveguide transitions and junctions,” in Guided-Wave Optoelectronics, T. Tamir, ed. (Springer-Verlag, Berlin, 1988), Chap. 3.
[CrossRef]

Chu, S. T.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, Y. Kokubun, “Second-order filter response from parallel coupled glass microring resonators,” IEEE Photon. Technol. Lett. 11, 1423–1425 (1999).

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, Y. Kokubun, “An eight-channel add-drop filter using vertically coupled microring resonators over a cross grid,” IEEE Photon. Technol. Lett. 11, 691–693 (1999).
[CrossRef]

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

W. Pan, S. T. Chu, S. Sato, T. Maeda, T. Kato, Y. Kokubun, “Planarization of film deposition and improvement of channel structure for fabrication of anti-resonant reflecting optical waveguide type x-crossing vertical coupler filter,” Jpn. J. Appl. Phys. 37, 3713–3717 (1998).
[CrossRef]

Forsi, J.

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

Grrene, W.

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

Haus, H. A.

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

Hibino, Y.

S. Suzuki, K. Shuto, Y. Hibino, “Integrated optic ring resonators with two stacked layers of silica waveguides on Si,” IEEE Photon. Technol. Lett. 4, 1256–1258 (1992).
[CrossRef]

Huang, W. P.

W. P. Huang, C. L. Xu, W. Lui, K. Yokoyama, “The perfectly matched layer boundary condition for modal analysis of optical waveguides,” IEEE Photon. Technol. Lett. 4, 652–654 (1996).
[CrossRef]

Iga, K.

Y. Kokubun, T. Baba, T. Sakaki, K. Iga, “Low-loss antiresonant reflecting optical waveguide on Si substrate in visible-wavelength region,” Electron. Lett. 22, 892–893 (1986).
[CrossRef]

Ippen, E. P.

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

Kaneko, T.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, Y. Kokubun, “An eight-channel add-drop filter using vertically coupled microring resonators over a cross grid,” IEEE Photon. Technol. Lett. 11, 691–693 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, Y. Kokubun, “Second-order filter response from parallel coupled glass microring resonators,” IEEE Photon. Technol. Lett. 11, 1423–1425 (1999).

Kato, T.

W. Pan, S. T. Chu, S. Sato, T. Maeda, T. Kato, Y. Kokubun, “Planarization of film deposition and improvement of channel structure for fabrication of anti-resonant reflecting optical waveguide type x-crossing vertical coupler filter,” Jpn. J. Appl. Phys. 37, 3713–3717 (1998).
[CrossRef]

Kimerling, L.

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

Kokubun, Y.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, Y. Kokubun, “An eight-channel add-drop filter using vertically coupled microring resonators over a cross grid,” IEEE Photon. Technol. Lett. 11, 691–693 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, Y. Kokubun, “Second-order filter response from parallel coupled glass microring resonators,” IEEE Photon. Technol. Lett. 11, 1423–1425 (1999).

W. Pan, S. T. Chu, S. Sato, T. Maeda, T. Kato, Y. Kokubun, “Planarization of film deposition and improvement of channel structure for fabrication of anti-resonant reflecting optical waveguide type x-crossing vertical coupler filter,” Jpn. J. Appl. Phys. 37, 3713–3717 (1998).
[CrossRef]

Y. Kokubun, S. Tamura, “Precise recursive formula for calculating spot size in optical waveguides and accurate evaluation of splice loss,” Appl. Opt. 34, 6862–6873 (1995).
[CrossRef] [PubMed]

T. Baba, Y. Kokubun, “Dispersion and radiation loss characteristics of antiresonant reflecting optical waveguides—numerical results and analytical expressions,” IEEE J. Quantum Electron. 28, 1689–1700 (1992).
[CrossRef]

N. Yamaguchi, Y. Kokubun, K. Sato, “Low-loss spot-size transformer by dual tapered waveguides (DTW-SST),” J. Lightwave Technol. 8, 587–594 (1990).
[CrossRef]

T. Baba, Y. Kokubun, “New polarization-insensitive antiresonant optical waveguide (ARROW-B),” IEEE Photon. Technol. Lett. 1, 232–234 (1989).
[CrossRef]

Y. Kokubun, T. Baba, T. Sakaki, K. Iga, “Low-loss antiresonant reflecting optical waveguide on Si substrate in visible-wavelength region,” Electron. Lett. 22, 892–893 (1986).
[CrossRef]

T. Baba, Y. Kokubun, Y. Mera, “A novel 3-dimensional ARROW by thin film patterning-stripe lateral confinement of ARROW,” in Integrated Guided-Wave Optics, Vol. 4 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989) paper TuBB5, pp. 164–167.

Little, B. E.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, Y. Kokubun, “An eight-channel add-drop filter using vertically coupled microring resonators over a cross grid,” IEEE Photon. Technol. Lett. 11, 691–693 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, Y. Kokubun, “Second-order filter response from parallel coupled glass microring resonators,” IEEE Photon. Technol. Lett. 11, 1423–1425 (1999).

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

Lui, W.

W. P. Huang, C. L. Xu, W. Lui, K. Yokoyama, “The perfectly matched layer boundary condition for modal analysis of optical waveguides,” IEEE Photon. Technol. Lett. 4, 652–654 (1996).
[CrossRef]

Madsen, C. K.

C. K. Madsen, “Efficient architectures for exactly realizing optical filters with optimum bandpass designs,” IEEE Photon. Technol. Lett. 10, 1136–1138 (1998).
[CrossRef]

Maeda, T.

W. Pan, S. T. Chu, S. Sato, T. Maeda, T. Kato, Y. Kokubun, “Planarization of film deposition and improvement of channel structure for fabrication of anti-resonant reflecting optical waveguide type x-crossing vertical coupler filter,” Jpn. J. Appl. Phys. 37, 3713–3717 (1998).
[CrossRef]

Mera, Y.

T. Baba, Y. Kokubun, Y. Mera, “A novel 3-dimensional ARROW by thin film patterning-stripe lateral confinement of ARROW,” in Integrated Guided-Wave Optics, Vol. 4 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989) paper TuBB5, pp. 164–167.

Milton, A. F.

W. K. Burns, A. F. Milton, “Waveguide transitions and junctions,” in Guided-Wave Optoelectronics, T. Tamir, ed. (Springer-Verlag, Berlin, 1988), Chap. 3.
[CrossRef]

Pan, W.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, Y. Kokubun, “Second-order filter response from parallel coupled glass microring resonators,” IEEE Photon. Technol. Lett. 11, 1423–1425 (1999).

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, Y. Kokubun, “An eight-channel add-drop filter using vertically coupled microring resonators over a cross grid,” IEEE Photon. Technol. Lett. 11, 691–693 (1999).
[CrossRef]

W. Pan, S. T. Chu, S. Sato, T. Maeda, T. Kato, Y. Kokubun, “Planarization of film deposition and improvement of channel structure for fabrication of anti-resonant reflecting optical waveguide type x-crossing vertical coupler filter,” Jpn. J. Appl. Phys. 37, 3713–3717 (1998).
[CrossRef]

Sakaki, T.

Y. Kokubun, T. Baba, T. Sakaki, K. Iga, “Low-loss antiresonant reflecting optical waveguide on Si substrate in visible-wavelength region,” Electron. Lett. 22, 892–893 (1986).
[CrossRef]

Sato, K.

N. Yamaguchi, Y. Kokubun, K. Sato, “Low-loss spot-size transformer by dual tapered waveguides (DTW-SST),” J. Lightwave Technol. 8, 587–594 (1990).
[CrossRef]

Sato, S.

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, Y. Kokubun, “An eight-channel add-drop filter using vertically coupled microring resonators over a cross grid,” IEEE Photon. Technol. Lett. 11, 691–693 (1999).
[CrossRef]

W. Pan, S. T. Chu, S. Sato, T. Maeda, T. Kato, Y. Kokubun, “Planarization of film deposition and improvement of channel structure for fabrication of anti-resonant reflecting optical waveguide type x-crossing vertical coupler filter,” Jpn. J. Appl. Phys. 37, 3713–3717 (1998).
[CrossRef]

Shuto, K.

S. Suzuki, K. Shuto, Y. Hibino, “Integrated optic ring resonators with two stacked layers of silica waveguides on Si,” IEEE Photon. Technol. Lett. 4, 1256–1258 (1992).
[CrossRef]

Steinmeyer, G.

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

Suzuki, S.

S. Suzuki, K. Shuto, Y. Hibino, “Integrated optic ring resonators with two stacked layers of silica waveguides on Si,” IEEE Photon. Technol. Lett. 4, 1256–1258 (1992).
[CrossRef]

Tamura, S.

Thoen, E.

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

Xu, C. L.

W. P. Huang, C. L. Xu, W. Lui, K. Yokoyama, “The perfectly matched layer boundary condition for modal analysis of optical waveguides,” IEEE Photon. Technol. Lett. 4, 652–654 (1996).
[CrossRef]

Yamaguchi, N.

N. Yamaguchi, Y. Kokubun, K. Sato, “Low-loss spot-size transformer by dual tapered waveguides (DTW-SST),” J. Lightwave Technol. 8, 587–594 (1990).
[CrossRef]

Yokoyama, K.

W. P. Huang, C. L. Xu, W. Lui, K. Yokoyama, “The perfectly matched layer boundary condition for modal analysis of optical waveguides,” IEEE Photon. Technol. Lett. 4, 652–654 (1996).
[CrossRef]

Appl. Opt. (1)

Electron. Lett. (1)

Y. Kokubun, T. Baba, T. Sakaki, K. Iga, “Low-loss antiresonant reflecting optical waveguide on Si substrate in visible-wavelength region,” Electron. Lett. 22, 892–893 (1986).
[CrossRef]

IEEE J. Quantum Electron. (1)

T. Baba, Y. Kokubun, “Dispersion and radiation loss characteristics of antiresonant reflecting optical waveguides—numerical results and analytical expressions,” IEEE J. Quantum Electron. 28, 1689–1700 (1992).
[CrossRef]

IEEE Photon. Technol. Lett. (6)

S. Suzuki, K. Shuto, Y. Hibino, “Integrated optic ring resonators with two stacked layers of silica waveguides on Si,” IEEE Photon. Technol. Lett. 4, 1256–1258 (1992).
[CrossRef]

W. P. Huang, C. L. Xu, W. Lui, K. Yokoyama, “The perfectly matched layer boundary condition for modal analysis of optical waveguides,” IEEE Photon. Technol. Lett. 4, 652–654 (1996).
[CrossRef]

T. Baba, Y. Kokubun, “New polarization-insensitive antiresonant optical waveguide (ARROW-B),” IEEE Photon. Technol. Lett. 1, 232–234 (1989).
[CrossRef]

C. K. Madsen, “Efficient architectures for exactly realizing optical filters with optimum bandpass designs,” IEEE Photon. Technol. Lett. 10, 1136–1138 (1998).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, S. Sato, Y. Kokubun, “An eight-channel add-drop filter using vertically coupled microring resonators over a cross grid,” IEEE Photon. Technol. Lett. 11, 691–693 (1999).
[CrossRef]

S. T. Chu, B. E. Little, W. Pan, T. Kaneko, Y. Kokubun, “Second-order filter response from parallel coupled glass microring resonators,” IEEE Photon. Technol. Lett. 11, 1423–1425 (1999).

J. Lightwave Technol. (1)

N. Yamaguchi, Y. Kokubun, K. Sato, “Low-loss spot-size transformer by dual tapered waveguides (DTW-SST),” J. Lightwave Technol. 8, 587–594 (1990).
[CrossRef]

Jpn. J. Appl. Phys. (1)

W. Pan, S. T. Chu, S. Sato, T. Maeda, T. Kato, Y. Kokubun, “Planarization of film deposition and improvement of channel structure for fabrication of anti-resonant reflecting optical waveguide type x-crossing vertical coupler filter,” Jpn. J. Appl. Phys. 37, 3713–3717 (1998).
[CrossRef]

Opt. Photon. News (1)

B. E. Little, S. T. Chu, J. Forsi, G. Steinmeyer, E. Thoen, H. A. Haus, E. P. Ippen, L. Kimerling, W. Grrene, “Microresonators for integrated optical devices,” Opt. Photon. News, September1998, pp. 32–33.

Other (2)

W. K. Burns, A. F. Milton, “Waveguide transitions and junctions,” in Guided-Wave Optoelectronics, T. Tamir, ed. (Springer-Verlag, Berlin, 1988), Chap. 3.
[CrossRef]

T. Baba, Y. Kokubun, Y. Mera, “A novel 3-dimensional ARROW by thin film patterning-stripe lateral confinement of ARROW,” in Integrated Guided-Wave Optics, Vol. 4 of 1989 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1989) paper TuBB5, pp. 164–167.

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Figures (9)

Fig. 1
Fig. 1

Spot-size-mismatch loss in the one-dimensional case. The spot size of one waveguide is assumed to be 5 µm.

Fig. 2
Fig. 2

Electric field profiles of busline waveguides at the wavelength of 1.55 µm: (a) single-mode fiber; (b) conventional busline waveguide (n 1 = 1.782, n 2 = 1.451); (c) SLC-ARROW (n c = n 2 = 1.603, n 1 = n SLC = 1.451); and (d) horizontally enlarged waveguide (n 1 = 1.782, n 2 = 1.451).

Fig. 3
Fig. 3

Structure of a vertically coupled microring resonator with the ARROW busline.

Fig. 4
Fig. 4

Scanning-electron-microscopy cross-sectional view of the ARROW.

Fig. 5
Fig. 5

Dropping response of the vertically coupled microring resonator with the ARROW busline. FSR, free spectral range.

Fig. 6
Fig. 6

Magnification of the dropping response shown in Fig. 5.

Fig. 7
Fig. 7

Structure of the vertically coupled microring resonator with a SST.

Fig. 8
Fig. 8

Coupling efficiency to the second-order mode.

Fig. 9
Fig. 9

Finite-difference time-domain simulation of the horn waveguide SST.

Tables (1)

Tables Icon

Table 1 Comparison of Theoretical and Experimental Values of Coupling Losses

Equations (4)

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

w=4 - x2ψx2dx-ψx2dx,
η=S E1E2da2SE12da S E22da,
w=dce2.844,
Wz=2αλgz+W021/2,

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