Abstract

We propose a new waveguide resonator device with a mirror cavity and a multimode interference (MMI) coupler. We present simulation results for the silicon wire MMI coupler with suppressed reflections and its use as a coupling element in the resonator cavity, built on the silicon-on-insulator waveguide platform. Tapering structures used in the reflection suppression were optimized, and the wavelength dependency of a conventional MMI was compared to that of the MMI with reflection suppression. Equations relating the power transfer of the two-mirror MMI-coupled resonator and quality factor were derived. The device was also studied using finite difference time domain simulation by both pulse and continuous wave excitation. The resonator does not require bend waveguides, it has the advantages of having no bend loss and a compact layout. The resonator device has a very small footprint of 3 μm × 30 μm, and a quality factor of 516.

© 2007 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. Trinh, S. Yegnanarayanan, F. Coppinger, and B. Jalali, "Compact multimode interference couplers in silicon-on-insulator technology," Proc. CLEO’97, 441 (1997).
  2. T. Zinke, U. Fischer, B. Schuppert, and K. Petermann, "Theoretical and experimental investigation of optical couplers in SOI," Proc. SPIE 3007, 30-39 (1997).
    [CrossRef]
  3. Y. Tang, W. Wang, Y. Wu, J. Yang, and Y. Wang, "Design and fabrication of multimode interference coupler with strong confinement structure on silicon-on-insulator," Opt. Eng. 43, 2495-2496 (2004).
    [CrossRef]
  4. B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
    [CrossRef]
  5. I. Kiyat, A. Aydinli, and N. Dagli, "High-Q silicon-on-insulator optical rib waveguide racetrack resonators," Opt. Express 13, 1900-1905 (2005).
    [CrossRef] [PubMed]
  6. W. R. Headley, G. T. Reed, S. Howe, A. Liu, and M. Paniccia, "Polarization independent optical racetrack resonators using rib waveguides on silicon-on-insulator," Appl. Phys. Lett. 85, 5523-5526 (2004).
    [CrossRef]
  7. D.-X. Xu, A. Densmore, P. Waldron, J. Lapointe, E. Post, A. Delâge, S. Janz, P. Cheben, J. H. Schmid and B. Lamontagne, "High bandwidth SOI photonic wire ring resonators using MMI couplers," Opt. Express 15, 3149-3155 (2007).
    [CrossRef] [PubMed]
  8. D.-X. Xu, S. Janz, and P. Cheben, "Design of polarization-insensitive ring resonators in SOI using cladding stress engineering and MMI Couplers," IEEE Photon. Technol. Lett. 18, 343-345 (2006).
    [CrossRef]
  9. D.-X, Xu, P. Cheben, A. Delâge, S. Janz, B. Lamontagne, E. Post, W. N. Ye, "Polarization insensitive MMI-coupled ring resonators in silicon-on-insulator using cladding stress engineering," Proc. SPIE 6477, D1-D10 (2007).
  10. R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
    [CrossRef]
  11. P. E. Barclay, K. Srinivasan, and O. Painter, "Nonlinear response of silicon photonic crystal microresonators excited via an integrated waveguide and fiber taper," Opt. Express 13, 108-120 (2005).
    [CrossRef]
  12. A. Yariv, "Universal relations for coupling of optical power between microresonators and dielectric waveguides," Electron. Lett. 36, 321-322 (2000).
    [CrossRef]
  13. S. Kim, J. Cai, J. Jiang, and G. P. Nordin, "New ring resonator configuration using hybrid photonic crystal and conventional waveguide structures," Opt. Express 12, 2356-2364 (2004).
    [CrossRef] [PubMed]
  14. L. B. Soldano and E. C. M. Pennings, "Optical multi-mode interference devices based on self-imaging: principles and applications," J. Lightwave Technol. 13, 615-627 (1995).
    [CrossRef]
  15. M.-K. Chin, C.-L. Xu, and W.-P. Huang, "Theoretical approach to a polarization-insensitive single-mode microring resonator," Opt. Express 12, 3245-3250 (2004).
    [CrossRef] [PubMed]

2007 (2)

D.-X, Xu, P. Cheben, A. Delâge, S. Janz, B. Lamontagne, E. Post, W. N. Ye, "Polarization insensitive MMI-coupled ring resonators in silicon-on-insulator using cladding stress engineering," Proc. SPIE 6477, D1-D10 (2007).

D.-X. Xu, A. Densmore, P. Waldron, J. Lapointe, E. Post, A. Delâge, S. Janz, P. Cheben, J. H. Schmid and B. Lamontagne, "High bandwidth SOI photonic wire ring resonators using MMI couplers," Opt. Express 15, 3149-3155 (2007).
[CrossRef] [PubMed]

2006 (2)

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

D.-X. Xu, S. Janz, and P. Cheben, "Design of polarization-insensitive ring resonators in SOI using cladding stress engineering and MMI Couplers," IEEE Photon. Technol. Lett. 18, 343-345 (2006).
[CrossRef]

2005 (2)

P. E. Barclay, K. Srinivasan, and O. Painter, "Nonlinear response of silicon photonic crystal microresonators excited via an integrated waveguide and fiber taper," Opt. Express 13, 108-120 (2005).
[CrossRef]

I. Kiyat, A. Aydinli, and N. Dagli, "High-Q silicon-on-insulator optical rib waveguide racetrack resonators," Opt. Express 13, 1900-1905 (2005).
[CrossRef] [PubMed]

2004 (4)

W. R. Headley, G. T. Reed, S. Howe, A. Liu, and M. Paniccia, "Polarization independent optical racetrack resonators using rib waveguides on silicon-on-insulator," Appl. Phys. Lett. 85, 5523-5526 (2004).
[CrossRef]

S. Kim, J. Cai, J. Jiang, and G. P. Nordin, "New ring resonator configuration using hybrid photonic crystal and conventional waveguide structures," Opt. Express 12, 2356-2364 (2004).
[CrossRef] [PubMed]

M.-K. Chin, C.-L. Xu, and W.-P. Huang, "Theoretical approach to a polarization-insensitive single-mode microring resonator," Opt. Express 12, 3245-3250 (2004).
[CrossRef] [PubMed]

Y. Tang, W. Wang, Y. Wu, J. Yang, and Y. Wang, "Design and fabrication of multimode interference coupler with strong confinement structure on silicon-on-insulator," Opt. Eng. 43, 2495-2496 (2004).
[CrossRef]

2000 (1)

A. Yariv, "Universal relations for coupling of optical power between microresonators and dielectric waveguides," Electron. Lett. 36, 321-322 (2000).
[CrossRef]

1998 (1)

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

1997 (1)

T. Zinke, U. Fischer, B. Schuppert, and K. Petermann, "Theoretical and experimental investigation of optical couplers in SOI," Proc. SPIE 3007, 30-39 (1997).
[CrossRef]

1995 (1)

L. B. Soldano and E. C. M. Pennings, "Optical multi-mode interference devices based on self-imaging: principles and applications," J. Lightwave Technol. 13, 615-627 (1995).
[CrossRef]

Augustin, L. M.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Aydinli, A.

Barbarin, Y.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Barclay, P. E.

P. E. Barclay, K. Srinivasan, and O. Painter, "Nonlinear response of silicon photonic crystal microresonators excited via an integrated waveguide and fiber taper," Opt. Express 13, 108-120 (2005).
[CrossRef]

Bente, E. A. J. M.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Cai, J.

Cheben, P.

D.-X. Xu, A. Densmore, P. Waldron, J. Lapointe, E. Post, A. Delâge, S. Janz, P. Cheben, J. H. Schmid and B. Lamontagne, "High bandwidth SOI photonic wire ring resonators using MMI couplers," Opt. Express 15, 3149-3155 (2007).
[CrossRef] [PubMed]

D.-X. Xu, S. Janz, and P. Cheben, "Design of polarization-insensitive ring resonators in SOI using cladding stress engineering and MMI Couplers," IEEE Photon. Technol. Lett. 18, 343-345 (2006).
[CrossRef]

Chin, M.-K.

Chu, S. T.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

Cole, S.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Dagli, N.

Delâge, A.

Densmore, A.

Fischer, U.

T. Zinke, U. Fischer, B. Schuppert, and K. Petermann, "Theoretical and experimental investigation of optical couplers in SOI," Proc. SPIE 3007, 30-39 (1997).
[CrossRef]

Foresi, J. S.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

Greene, W.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

Hanfoug, R.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Haus, H. A.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

Headley, W. R.

W. R. Headley, G. T. Reed, S. Howe, A. Liu, and M. Paniccia, "Polarization independent optical racetrack resonators using rib waveguides on silicon-on-insulator," Appl. Phys. Lett. 85, 5523-5526 (2004).
[CrossRef]

Howe, S.

W. R. Headley, G. T. Reed, S. Howe, A. Liu, and M. Paniccia, "Polarization independent optical racetrack resonators using rib waveguides on silicon-on-insulator," Appl. Phys. Lett. 85, 5523-5526 (2004).
[CrossRef]

Huang, W.-P.

Ippen, E. P.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

Janz, S.

D.-X. Xu, A. Densmore, P. Waldron, J. Lapointe, E. Post, A. Delâge, S. Janz, P. Cheben, J. H. Schmid and B. Lamontagne, "High bandwidth SOI photonic wire ring resonators using MMI couplers," Opt. Express 15, 3149-3155 (2007).
[CrossRef] [PubMed]

D.-X. Xu, S. Janz, and P. Cheben, "Design of polarization-insensitive ring resonators in SOI using cladding stress engineering and MMI Couplers," IEEE Photon. Technol. Lett. 18, 343-345 (2006).
[CrossRef]

Jiang, J.

Karouta, F.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Kim, S.

Kimerling, L. C.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

Kiyat, I.

Lamontagne, B.

Lapointe, J.

Leijtens, X. J. M.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Little, B. E.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

Liu, A.

W. R. Headley, G. T. Reed, S. Howe, A. Liu, and M. Paniccia, "Polarization independent optical racetrack resonators using rib waveguides on silicon-on-insulator," Appl. Phys. Lett. 85, 5523-5526 (2004).
[CrossRef]

Nordin, G. P.

Oei, Y. S.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Painter, O.

P. E. Barclay, K. Srinivasan, and O. Painter, "Nonlinear response of silicon photonic crystal microresonators excited via an integrated waveguide and fiber taper," Opt. Express 13, 108-120 (2005).
[CrossRef]

Paniccia, M.

W. R. Headley, G. T. Reed, S. Howe, A. Liu, and M. Paniccia, "Polarization independent optical racetrack resonators using rib waveguides on silicon-on-insulator," Appl. Phys. Lett. 85, 5523-5526 (2004).
[CrossRef]

Pennings, E. C. M.

L. B. Soldano and E. C. M. Pennings, "Optical multi-mode interference devices based on self-imaging: principles and applications," J. Lightwave Technol. 13, 615-627 (1995).
[CrossRef]

Petermann, K.

T. Zinke, U. Fischer, B. Schuppert, and K. Petermann, "Theoretical and experimental investigation of optical couplers in SOI," Proc. SPIE 3007, 30-39 (1997).
[CrossRef]

Post, E.

Reed, G. T.

W. R. Headley, G. T. Reed, S. Howe, A. Liu, and M. Paniccia, "Polarization independent optical racetrack resonators using rib waveguides on silicon-on-insulator," Appl. Phys. Lett. 85, 5523-5526 (2004).
[CrossRef]

Rogers, D.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Schmid, J. H.

Schuppert, B.

T. Zinke, U. Fischer, B. Schuppert, and K. Petermann, "Theoretical and experimental investigation of optical couplers in SOI," Proc. SPIE 3007, 30-39 (1997).
[CrossRef]

Smit, M. K.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Soldano, L. B.

L. B. Soldano and E. C. M. Pennings, "Optical multi-mode interference devices based on self-imaging: principles and applications," J. Lightwave Technol. 13, 615-627 (1995).
[CrossRef]

Srinivasan, K.

P. E. Barclay, K. Srinivasan, and O. Painter, "Nonlinear response of silicon photonic crystal microresonators excited via an integrated waveguide and fiber taper," Opt. Express 13, 108-120 (2005).
[CrossRef]

Steinmeyer, G.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

Tang, Y.

Y. Tang, W. Wang, Y. Wu, J. Yang, and Y. Wang, "Design and fabrication of multimode interference coupler with strong confinement structure on silicon-on-insulator," Opt. Eng. 43, 2495-2496 (2004).
[CrossRef]

Theon, E. R.

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

van der Tol, J. J. G. M.

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

Waldron, P.

Wang, W.

Y. Tang, W. Wang, Y. Wu, J. Yang, and Y. Wang, "Design and fabrication of multimode interference coupler with strong confinement structure on silicon-on-insulator," Opt. Eng. 43, 2495-2496 (2004).
[CrossRef]

Wang, Y.

Y. Tang, W. Wang, Y. Wu, J. Yang, and Y. Wang, "Design and fabrication of multimode interference coupler with strong confinement structure on silicon-on-insulator," Opt. Eng. 43, 2495-2496 (2004).
[CrossRef]

Wu, Y.

Y. Tang, W. Wang, Y. Wu, J. Yang, and Y. Wang, "Design and fabrication of multimode interference coupler with strong confinement structure on silicon-on-insulator," Opt. Eng. 43, 2495-2496 (2004).
[CrossRef]

Xu, C.-L.

Xu, D.-X.

D.-X. Xu, A. Densmore, P. Waldron, J. Lapointe, E. Post, A. Delâge, S. Janz, P. Cheben, J. H. Schmid and B. Lamontagne, "High bandwidth SOI photonic wire ring resonators using MMI couplers," Opt. Express 15, 3149-3155 (2007).
[CrossRef] [PubMed]

D.-X. Xu, S. Janz, and P. Cheben, "Design of polarization-insensitive ring resonators in SOI using cladding stress engineering and MMI Couplers," IEEE Photon. Technol. Lett. 18, 343-345 (2006).
[CrossRef]

Yang, J.

Y. Tang, W. Wang, Y. Wu, J. Yang, and Y. Wang, "Design and fabrication of multimode interference coupler with strong confinement structure on silicon-on-insulator," Opt. Eng. 43, 2495-2496 (2004).
[CrossRef]

Yariv, A.

A. Yariv, "Universal relations for coupling of optical power between microresonators and dielectric waveguides," Electron. Lett. 36, 321-322 (2000).
[CrossRef]

Zinke, T.

T. Zinke, U. Fischer, B. Schuppert, and K. Petermann, "Theoretical and experimental investigation of optical couplers in SOI," Proc. SPIE 3007, 30-39 (1997).
[CrossRef]

Appl. Phys. Lett. (1)

W. R. Headley, G. T. Reed, S. Howe, A. Liu, and M. Paniccia, "Polarization independent optical racetrack resonators using rib waveguides on silicon-on-insulator," Appl. Phys. Lett. 85, 5523-5526 (2004).
[CrossRef]

Electron. Lett. (2)

R. Hanfoug, L. M. Augustin, Y. Barbarin, J. J. G. M. van der Tol, E. A. J. M. Bente, F. Karouta, D. Rogers, S. Cole, Y. S. Oei, X. J. M. Leijtens, and M. K. Smit, "Reduced reflections from multimode interference couplers," Electron. Lett. 42, 13-15 (2006).
[CrossRef]

A. Yariv, "Universal relations for coupling of optical power between microresonators and dielectric waveguides," Electron. Lett. 36, 321-322 (2000).
[CrossRef]

IEEE Photon. Technol. Lett. (2)

B. E. Little, J. S. Foresi, G. Steinmeyer, E. R. Theon, S. T. Chu, H. A. Haus, E. P. Ippen, L. C. Kimerling, and W. Greene, "Ultra-compact Si-SiO ring resonator optical channel dropping filters," IEEE Photon. Technol. Lett. 10, 549-551 (1998).
[CrossRef]

D.-X. Xu, S. Janz, and P. Cheben, "Design of polarization-insensitive ring resonators in SOI using cladding stress engineering and MMI Couplers," IEEE Photon. Technol. Lett. 18, 343-345 (2006).
[CrossRef]

J. Lightwave Technol. (1)

L. B. Soldano and E. C. M. Pennings, "Optical multi-mode interference devices based on self-imaging: principles and applications," J. Lightwave Technol. 13, 615-627 (1995).
[CrossRef]

Opt. Eng. (1)

Y. Tang, W. Wang, Y. Wu, J. Yang, and Y. Wang, "Design and fabrication of multimode interference coupler with strong confinement structure on silicon-on-insulator," Opt. Eng. 43, 2495-2496 (2004).
[CrossRef]

Opt. Express (5)

Proc. SPIE (2)

D.-X, Xu, P. Cheben, A. Delâge, S. Janz, B. Lamontagne, E. Post, W. N. Ye, "Polarization insensitive MMI-coupled ring resonators in silicon-on-insulator using cladding stress engineering," Proc. SPIE 6477, D1-D10 (2007).

T. Zinke, U. Fischer, B. Schuppert, and K. Petermann, "Theoretical and experimental investigation of optical couplers in SOI," Proc. SPIE 3007, 30-39 (1997).
[CrossRef]

Other (1)

P. Trinh, S. Yegnanarayanan, F. Coppinger, and B. Jalali, "Compact multimode interference couplers in silicon-on-insulator technology," Proc. CLEO’97, 441 (1997).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1.
Fig. 1.

Model of the resonator: a1 the input field, a2 the transmitted output field, a3 the reflected output field, a4 the field in the resonator cavity access waveguide, t and κ the coupling coefficients, r the mirror amplitude reflectivity, γ 2 the coupler power transfer factor, and α the cavity loss factor.

Fig. 2.
Fig. 2.

The mirror cavity MMI-coupled resonator, including MMI with reflection suppression. For the conventional MMI (no reflection suppression), the taper angle was set to α = 90°. The resonator cavity length Lc was adjusted by changing the length of the access waveguides. a1 is the injected forward input field, a2 is the forward output field, and a3 is the backward output field.

Fig. 3.
Fig. 3.

The MMI loss as a function of wavelength for different taper angles.

Fig. 4.
Fig. 4.

The Hy field envelop recorded at the upper output channel at λ = 1.55 μm for an MMI without tapers and with reflection suppressing tapers (α = 30°). The arrows indicate the number of cavity lengths Lc traversed by the field.

Fig. 5.
Fig. 5.

MMI resonator spectral response evaluated by FDTD simulation and Eq. (2) for a cavity length of 31.4 μm. FDTD simulation: FSR = 22 nm, Δλ FWHM = 5 nm, Q = 310. Equation (5) yields Q = 300.

Fig. 6.
Fig. 6.

MMI resonator spectral response evaluated by FDTD simulation and Eq. (2) for a cavity length of 59.4 μm. FDTD simulation: FSR = 11 nm, Δλ FWHM = 3 nm, Q = 516. Equation (5) yields Q = 518.

Equations (5)

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

a 2 = a 1 t + a 1 κ κt α r 2 e + a 1 κ κ t 3 α 2 r 4 e i 2 ϕ + a 1 κ κ t 5 α 3 r 6 e i 3 ϕ + . . . .
a 2 = a 1 t + a 1 κ κt α r 2 e i ϕ 1 t 2 α r 2 e i ϕ .
a 3 = a 1 κ 2 αr e i ϕ 2 2 2 t 2 α r 2 e i ϕ ,
a 4 = a 1 ακ t r 2 e i ϕ 1 α t 2 r 2 e i ϕ .
Q 2 α γ 2 t s 2 r 2 1 α γ 2 t s 2 r 2 .

Metrics