Abstract

An optical multi microring network-on-chip (MMR NoC) is proposed and evaluated through numerical simulations. The network architecture consists of a central resonating microring with local microrings connected to the input/output ports. A mathematical model based on the transfer matrix method is used to assess the MMR NoC performance and to analyze the fabrication tolerances. Results show that the proposed architecture exhibits a limited coherent crosstalk with a bandwidth suitable for 10Gb/s signals, and it is robust to coupling ratio variations and ring radii fabrication inaccuracies.

© 2014 Optical Society of America

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2013

2012

J. Kim, K. Choi, and G. Loh, IEEE J. Emerg. Sel. Topics Circuits Syst. 2, 124 (2012).
[CrossRef]

S. Feng, T. Lei, H. Chen, H. Cai, X. Luo, and A. W. Poon, Laser Photon. Rev. 6, 145 (2012).
[CrossRef]

2011

O. Liboiron-Ladouceur, I. Cerutti, P. G. Raponi, N. Andriolli, and P. Castoldi, IEEE J. Sel. Top. Quantum Electron. 17, 377 (2011).
[CrossRef]

G. C. Ballesteros, J. Matres, J. Martí, and C. J. Oton, Opt. Express 19, 24980 (2011).
[CrossRef]

2009

2008

2007

2000

A. Yariv, Electron. Lett. 36, 321 (2000).
[CrossRef]

1997

Andriolli, N.

P. Pintus, P. Contu, N. Andriolli, A. D’Errico, F. Di Pasquale, and F. Testa, J. Lightwave Technol. 31, 3943 (2013).
[CrossRef]

O. Liboiron-Ladouceur, I. Cerutti, P. G. Raponi, N. Andriolli, and P. Castoldi, IEEE J. Sel. Top. Quantum Electron. 17, 377 (2011).
[CrossRef]

P. Pintus, P. Contu, N. Andriolli, I. Cerutti, and P. G. Raponi, in Proceedings of the IEEE Optical Interconnects Conference (IEEE, 2013), pp. 80–81.

Baets, R.

Ballesteros, G. C.

Bergman, K.

Biberman, A.

Bogaerts, W.

Cai, H.

S. Feng, T. Lei, H. Chen, H. Cai, X. Luo, and A. W. Poon, Laser Photon. Rev. 6, 145 (2012).
[CrossRef]

Capmany, J.

Carloni, L. P.

A. Shacham, K. Bergman, and L. P. Carloni, IEEE Trans. Comput. 57, 1246 (2008).
[CrossRef]

L. P. Carloni, P. Pande, and Y. Xie, in Proceedings of the ACM/IEEE Intenational Symposium on Networks-On-Chip (IEEE, 2009), pp. 93–102.

Castoldi, P.

O. Liboiron-Ladouceur, I. Cerutti, P. G. Raponi, N. Andriolli, and P. Castoldi, IEEE J. Sel. Top. Quantum Electron. 17, 377 (2011).
[CrossRef]

Cerutti, I.

O. Liboiron-Ladouceur, I. Cerutti, P. G. Raponi, N. Andriolli, and P. Castoldi, IEEE J. Sel. Top. Quantum Electron. 17, 377 (2011).
[CrossRef]

P. Pintus, P. Contu, N. Andriolli, I. Cerutti, and P. G. Raponi, in Proceedings of the IEEE Optical Interconnects Conference (IEEE, 2013), pp. 80–81.

Chen, H.

S. Feng, T. Lei, H. Chen, H. Cai, X. Luo, and A. W. Poon, Laser Photon. Rev. 6, 145 (2012).
[CrossRef]

Chen, L.

Choi, K.

J. Kim, K. Choi, and G. Loh, IEEE J. Emerg. Sel. Topics Circuits Syst. 2, 124 (2012).
[CrossRef]

Chu, S. T.

Contu, P.

P. Pintus, P. Contu, N. Andriolli, A. D’Errico, F. Di Pasquale, and F. Testa, J. Lightwave Technol. 31, 3943 (2013).
[CrossRef]

P. Pintus, P. Contu, N. Andriolli, I. Cerutti, and P. G. Raponi, in Proceedings of the IEEE Optical Interconnects Conference (IEEE, 2013), pp. 80–81.

D’Errico, A.

Davis, I.

I. Davis, Circulant Matrices (Wiley1979).

Di Pasquale, F.

Domenech, J. D.

Dumon, P.

Feng, S.

S. Feng, T. Lei, H. Chen, H. Cai, X. Luo, and A. W. Poon, Laser Photon. Rev. 6, 145 (2012).
[CrossRef]

Jaenen, P.

Jin, J.

J. Jin, The Finite Element Method in Electromagnetics, 2nd ed. (Wiley Interscience, 2002).

Kim, J.

J. Kim, K. Choi, and G. Loh, IEEE J. Emerg. Sel. Topics Circuits Syst. 2, 124 (2012).
[CrossRef]

Laine, J.-P.

Lee, B. G.

Lei, T.

S. Feng, T. Lei, H. Chen, H. Cai, X. Luo, and A. W. Poon, Laser Photon. Rev. 6, 145 (2012).
[CrossRef]

Liboiron-Ladouceur, O.

O. Liboiron-Ladouceur, I. Cerutti, P. G. Raponi, N. Andriolli, and P. Castoldi, IEEE J. Sel. Top. Quantum Electron. 17, 377 (2011).
[CrossRef]

Lipson, M.

Little, B. E.

Loh, G.

J. Kim, K. Choi, and G. Loh, IEEE J. Emerg. Sel. Topics Circuits Syst. 2, 124 (2012).
[CrossRef]

Luck, D. L.

M. R. Watts, W. A. Zortman, D. C. Trotter, G. N. Nielson, D. L. Luck, and R. W. Young, Proceedings of the Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference (2009), paper CPDB10.

Luo, X.

S. Feng, T. Lei, H. Chen, H. Cai, X. Luo, and A. W. Poon, Laser Photon. Rev. 6, 145 (2012).
[CrossRef]

Martí, J.

Matres, J.

Muñoz, P.

Muriel, M. A.

Nielson, G. N.

M. R. Watts, W. A. Zortman, D. C. Trotter, G. N. Nielson, D. L. Luck, and R. W. Young, Proceedings of the Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference (2009), paper CPDB10.

Oton, C. J.

Pande, P.

L. P. Carloni, P. Pande, and Y. Xie, in Proceedings of the ACM/IEEE Intenational Symposium on Networks-On-Chip (IEEE, 2009), pp. 93–102.

Pintus, P.

P. Pintus, P. Contu, N. Andriolli, A. D’Errico, F. Di Pasquale, and F. Testa, J. Lightwave Technol. 31, 3943 (2013).
[CrossRef]

P. Pintus, P. Contu, N. Andriolli, I. Cerutti, and P. G. Raponi, in Proceedings of the IEEE Optical Interconnects Conference (IEEE, 2013), pp. 80–81.

Poon, A. W.

S. Feng, T. Lei, H. Chen, H. Cai, X. Luo, and A. W. Poon, Laser Photon. Rev. 6, 145 (2012).
[CrossRef]

Raponi, P. G.

O. Liboiron-Ladouceur, I. Cerutti, P. G. Raponi, N. Andriolli, and P. Castoldi, IEEE J. Sel. Top. Quantum Electron. 17, 377 (2011).
[CrossRef]

P. Pintus, P. Contu, N. Andriolli, I. Cerutti, and P. G. Raponi, in Proceedings of the IEEE Optical Interconnects Conference (IEEE, 2013), pp. 80–81.

Selvaraja, S. K.

Shacham, A.

A. Shacham, K. Bergman, and L. P. Carloni, IEEE Trans. Comput. 57, 1246 (2008).
[CrossRef]

Sherwood-Droz, N.

Testa, F.

Trotter, D. C.

M. R. Watts, W. A. Zortman, D. C. Trotter, G. N. Nielson, D. L. Luck, and R. W. Young, Proceedings of the Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference (2009), paper CPDB10.

Van Thourhout, D.

Wang, H.

Watts, M. R.

M. R. Watts, W. A. Zortman, D. C. Trotter, G. N. Nielson, D. L. Luck, and R. W. Young, Proceedings of the Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference (2009), paper CPDB10.

Xie, Y.

L. P. Carloni, P. Pande, and Y. Xie, in Proceedings of the ACM/IEEE Intenational Symposium on Networks-On-Chip (IEEE, 2009), pp. 93–102.

Yariv, A.

A. Yariv, Electron. Lett. 36, 321 (2000).
[CrossRef]

Young, R. W.

M. R. Watts, W. A. Zortman, D. C. Trotter, G. N. Nielson, D. L. Luck, and R. W. Young, Proceedings of the Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference (2009), paper CPDB10.

Zortman, W. A.

M. R. Watts, W. A. Zortman, D. C. Trotter, G. N. Nielson, D. L. Luck, and R. W. Young, Proceedings of the Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference (2009), paper CPDB10.

Electron. Lett.

A. Yariv, Electron. Lett. 36, 321 (2000).
[CrossRef]

IEEE J. Emerg. Sel. Topics Circuits Syst.

J. Kim, K. Choi, and G. Loh, IEEE J. Emerg. Sel. Topics Circuits Syst. 2, 124 (2012).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

O. Liboiron-Ladouceur, I. Cerutti, P. G. Raponi, N. Andriolli, and P. Castoldi, IEEE J. Sel. Top. Quantum Electron. 17, 377 (2011).
[CrossRef]

IEEE Trans. Comput.

A. Shacham, K. Bergman, and L. P. Carloni, IEEE Trans. Comput. 57, 1246 (2008).
[CrossRef]

J. Lightwave Technol.

Laser Photon. Rev.

S. Feng, T. Lei, H. Chen, H. Cai, X. Luo, and A. W. Poon, Laser Photon. Rev. 6, 145 (2012).
[CrossRef]

Opt. Express

Opt. Lett.

Other

P. Pintus, P. Contu, N. Andriolli, I. Cerutti, and P. G. Raponi, in Proceedings of the IEEE Optical Interconnects Conference (IEEE, 2013), pp. 80–81.

L. P. Carloni, P. Pande, and Y. Xie, in Proceedings of the ACM/IEEE Intenational Symposium on Networks-On-Chip (IEEE, 2009), pp. 93–102.

I. Davis, Circulant Matrices (Wiley1979).

J. Jin, The Finite Element Method in Electromagnetics, 2nd ed. (Wiley Interscience, 2002).

M. R. Watts, W. A. Zortman, D. C. Trotter, G. N. Nielson, D. L. Luck, and R. W. Young, Proceedings of the Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference (2009), paper CPDB10.

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Figures (7)

Fig. 1.
Fig. 1.

MMR NoC architecture.

Fig. 2.
Fig. 2.

Slice 1 of MMR NoC.

Fig. 3.
Fig. 3.

Transmission coefficient spectra.

Fig. 4.
Fig. 4.

BW and corresponding crosstalk with respect to K for r=10μm and ρ=40μm.

Fig. 5.
Fig. 5.

Spectra of S14(λ) for increasing values of ρ.

Fig. 6.
Fig. 6.

Radius inaccuracy analysis. (a) Spectra of S14(λ) for different r and K=10%. (b) Radius inaccuracy and K variation effects on SLS (dB).

Fig. 7.
Fig. 7.

Radius inaccuracy analysis. (a) 3 dB BW and (b) 1 dB BW with respect to K and r.

Equations (16)

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

(DR1D1)=(p11p12p21p22)(T1C1),
(R1B1)=(q11q12q21q22)(DT1A1),
(R1A2)=(0q12τep21τep22τiq22)(T1A1).
s12(i)=q12(i),s21(i)=τe(i)p21(i),s22(i)=τe(i)p22(i)τi(i)q22(i),
(R1R2R3R4)=(S11S12S13S14S21S22S23S24S31S32S33S34S41S42S43S44)(T1T2T3T4).
Si,i=s12(i)s22(i+3)s22(i+2)s22(i+1)s21(i)/w,
Si,i+1=s12(i)s22(i+3)s22(i+2)s21(i+1)/w,
Si,i+2=s12(i)s22(i+3)s21(i+2)/w,
Si,i+3=s12(i)s21(i+3)/w,
w=1s22(4)s22(3)s22(2)s22(1).
(R1R2R3R4)=(S11S12S13S14S14S11S12S13S13S14S11S12S12S13S14S11)(T1T2T3T4),
S11=s12(s22)3s211(s22)4,S12=s12(s22)2s211(s22)4,S13=s12(s22)1s211(s22)4,S14=s12s211(s22)4,
R2=S14T1signal+S11T2+S12T3+S13T4crosstalk.
XT12=|R2|T1=T2=T3=0T2=1|R2|T2=T3=T4=0T1=1=|S(2,2)||S(2,1)|=|S11S14|,
XT13=|R2|T1=T2=T4=0T3=1|R2|T2=T3=T4=0T1=1=|S(2,3)||S(2,1)|=|S12S14|,
XT14=|R2|T1=T2=T3=0T4=1|R2|T2=T3=T4=0T1=1=|S(2,4)||S(2,1)|=|S13S14|.

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