Abstract

We present a closed-form expression for the small-signal response of a depletion-mode ring modulator and verify it by measurement results. Both electrical and optical behavior of micro-ring modulator as well as the loss variation due to the index modulation is considered in the derivation. This expression suggests that a ring modulator is a third-order system with one real pole, one zero and a pair of complex-conjugate poles. The exact positions of the poles/zero are given and shown to be dependent upon parameters such as electrical bandwidth, coupling condition, optical loss, and sign/value of laser detunings. We show that the location of zero is different for positive and negative detuning, and therefore, the ring modulator frequency response is asymmetric. We use the gain-bandwidth product as a figure of merit and calculate it for various pole/zero locations. We show that gain-bandwidth for the over-coupled ring modulator is superior compared to other coupling conditions. Also, we show that the gain-bandwidth product can be increased to a limit by increasing the electrical bandwidth.

© 2016 Optical Society of America

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References

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  1. G. Li, X. Zheng, J. Yao, H. Thacker, I. Shubin, Y. Luo, K. Raj, J. E. Cunningham, and A. V. Krishnamoorthy, “25Gb/s 1V-driving CMOS ring modulator with integrated thermal tuning,” Opt. Express 19(21), 20435–20443 (2011).
    [Crossref] [PubMed]
  2. X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
    [Crossref]
  3. M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.
  4. H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.
  5. G. T. Reed, G. Mashanovich, F. Y. Gardes, and D. J. Thomson, “Silicon optical modulators,” Nat. Photonics 4(8), 518–526 (2010).
    [Crossref]
  6. D. A. Miller, “Device requirements for optical interconnects to silicon chips,” Proc. IEEE 97(7), 1166–1185 (2009).
    [Crossref]
  7. N. Ophir, C. Mineo, D. Mountain, and K. Bergman, “Silicon photonic microring links for high-bandwidth-density, low-power chip I/O,” Micro. IEEE 33, 54–67 (2013).
    [Crossref]
  8. P. Dong, S. Liao, D. Feng, H. Liang, D. Zheng, R. Shafiiha, C. C. Kung, W. Qian, G. Li, X. Zheng, A. V. Krishnamoorthy, and M. Asghari, “Low V pp, ultralow-energy, compact, high-speed silicon electro-optic modulator,” Opt. Express 17(25), 22484–22490 (2009).
    [Crossref]
  9. H. Yu, D. Ying, M. Pantouvaki, J. Van Campenhout, P. Absil, Y. Hao, J. Yang, and X. Jiang, “Trade-off between optical modulation amplitude and modulation bandwidth of silicon micro-ring modulators,” Opt. Express 22(12), 15178–15189 (2014).
    [Crossref] [PubMed]
  10. J. Müller, F. Merget, S. S. Azadeh, J. Hauck, S. R. García, B. Shen, and J. Witzens, “Optical peaking enhancement in high-speed ring modulators,” Sci. Rep.4, (2014).
    [Crossref]
  11. Q. Xu, B. Schmidt, J. Shakya, and M. Lipson, “Cascaded silicon micro-ring modulators for WDM optical interconnection,” Opt. Express 14(20), 9431–9435(2006).
    [Crossref] [PubMed]
  12. B. Pile and G. Taylor, “Small-signal analysis of microring resonator modulators,” Opt. Express 22, 14913–14928 (2014).
    [Crossref] [PubMed]
  13. Y. Ban, J.-M. Lee, B.-M. Yu, S.-H. Cho, and W.-Y. Choi, “Small-signal frequency responses for si micro-ring modulators,” in Proceedings of IEEE Optical Interconnects Conference (IEEE, 2014), pp. 47–48.
  14. W. D. Sacher and J. K. Poon, “Dynamics of microring resonator modulators,” Opt. Express 16(20), 15741–15753 (2008).
    [Crossref] [PubMed]
  15. J. Rhim, Y. Ban, B.-M. Yu, J.-M. Lee, and W.-Y. Choi, “Verilog-A behavioral model for resonance-modulated silicon micro-ring modulator,” Opt. Express 23(7), 8762–8772 (2015).
    [Crossref] [PubMed]
  16. R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
    [Crossref]
  17. S. Sharif Azadeh, J. Mller, F. Merget, S. Romero-Garca, B. Shen, and J. Witzens, “Advances in silicon photonics segmented electrode Mach-Zehnder modulators and peaking enhanced resonant devices,” Proc. SPIE 9288, 928817 (2014).
    [Crossref]
  18. G. Ghione, Semiconductor Devices for High-Speed Optoelectronics (Cambridge, 2009), Ch. 6.
    [Crossref]
  19. H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).
  20. B. Little, S. Chu, H. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J Lightwave Technol. 15, 998–1005 (1997).
    [Crossref]
  21. http://www.ime.a-star.edu.sg/PPSSite/index.asp .
  22. W. R. McKinnon, D. X. Xu, C. Storey, E. Post, A. Densmore, A. Delâge, P. Waldron, J. H. Schmid, and S. Janz, “Extracting coupling and loss coefficients from a ring resonator,” Opt. Express 17, 18971–18982 (2009).
    [Crossref]
  23. T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
    [Crossref] [PubMed]
  24. T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

2015 (2)

J. Rhim, Y. Ban, B.-M. Yu, J.-M. Lee, and W.-Y. Choi, “Verilog-A behavioral model for resonance-modulated silicon micro-ring modulator,” Opt. Express 23(7), 8762–8772 (2015).
[Crossref] [PubMed]

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

2014 (3)

2013 (1)

N. Ophir, C. Mineo, D. Mountain, and K. Bergman, “Silicon photonic microring links for high-bandwidth-density, low-power chip I/O,” Micro. IEEE 33, 54–67 (2013).
[Crossref]

2012 (2)

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

2011 (1)

2010 (1)

G. T. Reed, G. Mashanovich, F. Y. Gardes, and D. J. Thomson, “Silicon optical modulators,” Nat. Photonics 4(8), 518–526 (2010).
[Crossref]

2009 (3)

2008 (1)

2006 (1)

1997 (1)

B. Little, S. Chu, H. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J Lightwave Technol. 15, 998–1005 (1997).
[Crossref]

Absil, P.

H. Yu, D. Ying, M. Pantouvaki, J. Van Campenhout, P. Absil, Y. Hao, J. Yang, and X. Jiang, “Trade-off between optical modulation amplitude and modulation bandwidth of silicon micro-ring modulators,” Opt. Express 22(12), 15178–15189 (2014).
[Crossref] [PubMed]

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

Asghari, M.

Ayazi, A.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Azadeh, S. S.

J. Müller, F. Merget, S. S. Azadeh, J. Hauck, S. R. García, B. Shen, and J. Witzens, “Optical peaking enhancement in high-speed ring modulators,” Sci. Rep.4, (2014).
[Crossref]

Baehr-Jones, T.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Ban, Y.

J. Rhim, Y. Ban, B.-M. Yu, J.-M. Lee, and W.-Y. Choi, “Verilog-A behavioral model for resonance-modulated silicon micro-ring modulator,” Opt. Express 23(7), 8762–8772 (2015).
[Crossref] [PubMed]

Y. Ban, J.-M. Lee, B.-M. Yu, S.-H. Cho, and W.-Y. Choi, “Small-signal frequency responses for si micro-ring modulators,” in Proceedings of IEEE Optical Interconnects Conference (IEEE, 2014), pp. 47–48.

Bergman, K.

N. Ophir, C. Mineo, D. Mountain, and K. Bergman, “Silicon photonic microring links for high-bandwidth-density, low-power chip I/O,” Micro. IEEE 33, 54–67 (2013).
[Crossref]

Bogaerts, W.

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

Bois, A.

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

Caverley, M.

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

Cho, S.-H.

Y. Ban, J.-M. Lee, B.-M. Yu, S.-H. Cho, and W.-Y. Choi, “Small-signal frequency responses for si micro-ring modulators,” in Proceedings of IEEE Optical Interconnects Conference (IEEE, 2014), pp. 47–48.

Choi, W.-Y.

J. Rhim, Y. Ban, B.-M. Yu, J.-M. Lee, and W.-Y. Choi, “Verilog-A behavioral model for resonance-modulated silicon micro-ring modulator,” Opt. Express 23(7), 8762–8772 (2015).
[Crossref] [PubMed]

Y. Ban, J.-M. Lee, B.-M. Yu, S.-H. Cho, and W.-Y. Choi, “Small-signal frequency responses for si micro-ring modulators,” in Proceedings of IEEE Optical Interconnects Conference (IEEE, 2014), pp. 47–48.

Chrostowski, L.

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

Chu, S.

B. Little, S. Chu, H. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J Lightwave Technol. 15, 998–1005 (1997).
[Crossref]

Cunningham, J. E.

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

G. Li, X. Zheng, J. Yao, H. Thacker, I. Shubin, Y. Luo, K. Raj, J. E. Cunningham, and A. V. Krishnamoorthy, “25Gb/s 1V-driving CMOS ring modulator with integrated thermal tuning,” Opt. Express 19(21), 20435–20443 (2011).
[Crossref] [PubMed]

De Coster, J.

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

De Heyn, P.

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

Delâge, A.

Densmore, A.

Ding, R.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

Dong, P.

Dube-Demers, R.

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

Feng, D.

Foresi, J.

B. Little, S. Chu, H. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J Lightwave Technol. 15, 998–1005 (1997).
[Crossref]

García, S. R.

J. Müller, F. Merget, S. S. Azadeh, J. Hauck, S. R. García, B. Shen, and J. Witzens, “Optical peaking enhancement in high-speed ring modulators,” Sci. Rep.4, (2014).
[Crossref]

Gardes, F. Y.

G. T. Reed, G. Mashanovich, F. Y. Gardes, and D. J. Thomson, “Silicon optical modulators,” Nat. Photonics 4(8), 518–526 (2010).
[Crossref]

Ghione, G.

G. Ghione, Semiconductor Devices for High-Speed Optoelectronics (Cambridge, 2009), Ch. 6.
[Crossref]

Gould, M.

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Hao, Y.

Harris, N.

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Harris, N. C.

Hauck, J.

J. Müller, F. Merget, S. S. Azadeh, J. Hauck, S. R. García, B. Shen, and J. Witzens, “Optical peaking enhancement in high-speed ring modulators,” Sci. Rep.4, (2014).
[Crossref]

Haus, H.

B. Little, S. Chu, H. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J Lightwave Technol. 15, 998–1005 (1997).
[Crossref]

Haus, H. A.

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

He, L.

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Ho, R.

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

Hochberg, M.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Janz, S.

Jiang, X.

Krishnamoorthy, A. V.

Kung, C. C.

Laine, J.-P.

B. Little, S. Chu, H. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J Lightwave Technol. 15, 998–1005 (1997).
[Crossref]

LaRochelle, S.

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

Lee, J.-M.

J. Rhim, Y. Ban, B.-M. Yu, J.-M. Lee, and W.-Y. Choi, “Verilog-A behavioral model for resonance-modulated silicon micro-ring modulator,” Opt. Express 23(7), 8762–8772 (2015).
[Crossref] [PubMed]

Y. Ban, J.-M. Lee, B.-M. Yu, S.-H. Cho, and W.-Y. Choi, “Small-signal frequency responses for si micro-ring modulators,” in Proceedings of IEEE Optical Interconnects Conference (IEEE, 2014), pp. 47–48.

Lee, P.

Lepage, G.

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

Lexau, J.

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

Li, C.

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

Li, G.

Li, H.

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

Li, J.

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Liang, H.

Liao, S.

Lim, A. E.-J.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Liow, T.-Y.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Lipson, M.

Little, B.

B. Little, S. Chu, H. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J Lightwave Technol. 15, 998–1005 (1997).
[Crossref]

Liu, F.

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

Liu, Y.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

Lo, G.-Q.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Luo, Y.

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

G. Li, X. Zheng, J. Yao, H. Thacker, I. Shubin, Y. Luo, K. Raj, J. E. Cunningham, and A. V. Krishnamoorthy, “25Gb/s 1V-driving CMOS ring modulator with integrated thermal tuning,” Opt. Express 19(21), 20435–20443 (2011).
[Crossref] [PubMed]

Mashanovich, G.

G. T. Reed, G. Mashanovich, F. Y. Gardes, and D. J. Thomson, “Silicon optical modulators,” Nat. Photonics 4(8), 518–526 (2010).
[Crossref]

Masood, A.

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

McKinnon, W. R.

Merget, F.

S. Sharif Azadeh, J. Mller, F. Merget, S. Romero-Garca, B. Shen, and J. Witzens, “Advances in silicon photonics segmented electrode Mach-Zehnder modulators and peaking enhanced resonant devices,” Proc. SPIE 9288, 928817 (2014).
[Crossref]

J. Müller, F. Merget, S. S. Azadeh, J. Hauck, S. R. García, B. Shen, and J. Witzens, “Optical peaking enhancement in high-speed ring modulators,” Sci. Rep.4, (2014).
[Crossref]

Miller, D. A.

D. A. Miller, “Device requirements for optical interconnects to silicon chips,” Proc. IEEE 97(7), 1166–1185 (2009).
[Crossref]

Mineo, C.

N. Ophir, C. Mineo, D. Mountain, and K. Bergman, “Silicon photonic microring links for high-bandwidth-density, low-power chip I/O,” Micro. IEEE 33, 54–67 (2013).
[Crossref]

Mller, J.

S. Sharif Azadeh, J. Mller, F. Merget, S. Romero-Garca, B. Shen, and J. Witzens, “Advances in silicon photonics segmented electrode Mach-Zehnder modulators and peaking enhanced resonant devices,” Proc. SPIE 9288, 928817 (2014).
[Crossref]

Mountain, D.

N. Ophir, C. Mineo, D. Mountain, and K. Bergman, “Silicon photonic microring links for high-bandwidth-density, low-power chip I/O,” Micro. IEEE 33, 54–67 (2013).
[Crossref]

Müller, J.

J. Müller, F. Merget, S. S. Azadeh, J. Hauck, S. R. García, B. Shen, and J. Witzens, “Optical peaking enhancement in high-speed ring modulators,” Sci. Rep.4, (2014).
[Crossref]

Ophir, N.

N. Ophir, C. Mineo, D. Mountain, and K. Bergman, “Silicon photonic microring links for high-bandwidth-density, low-power chip I/O,” Micro. IEEE 33, 54–67 (2013).
[Crossref]

Pantouvaki, M.

H. Yu, D. Ying, M. Pantouvaki, J. Van Campenhout, P. Absil, Y. Hao, J. Yang, and X. Jiang, “Trade-off between optical modulation amplitude and modulation bandwidth of silicon micro-ring modulators,” Opt. Express 22(12), 15178–15189 (2014).
[Crossref] [PubMed]

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

Patil, D.

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

Pile, B.

Pinguet, T.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Plant, D.

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

Poon, J. K.

Post, E.

Qi, N.

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

Qian, W.

Raj, K.

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

G. Li, X. Zheng, J. Yao, H. Thacker, I. Shubin, Y. Luo, K. Raj, J. E. Cunningham, and A. V. Krishnamoorthy, “25Gb/s 1V-driving CMOS ring modulator with integrated thermal tuning,” Opt. Express 19(21), 20435–20443 (2011).
[Crossref] [PubMed]

Reed, G. T.

G. T. Reed, G. Mashanovich, F. Y. Gardes, and D. J. Thomson, “Silicon optical modulators,” Nat. Photonics 4(8), 518–526 (2010).
[Crossref]

Rhim, J.

Romero-Garca, S.

S. Sharif Azadeh, J. Mller, F. Merget, S. Romero-Garca, B. Shen, and J. Witzens, “Advances in silicon photonics segmented electrode Mach-Zehnder modulators and peaking enhanced resonant devices,” Proc. SPIE 9288, 928817 (2014).
[Crossref]

Sacher, W. D.

Schmid, J. H.

Schmidt, B.

Shafiiha, R.

Shafik, A.

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

Shakya, J.

Sharif Azadeh, S.

S. Sharif Azadeh, J. Mller, F. Merget, S. Romero-Garca, B. Shen, and J. Witzens, “Advances in silicon photonics segmented electrode Mach-Zehnder modulators and peaking enhanced resonant devices,” Proc. SPIE 9288, 928817 (2014).
[Crossref]

Shen, B.

S. Sharif Azadeh, J. Mller, F. Merget, S. Romero-Garca, B. Shen, and J. Witzens, “Advances in silicon photonics segmented electrode Mach-Zehnder modulators and peaking enhanced resonant devices,” Proc. SPIE 9288, 928817 (2014).
[Crossref]

J. Müller, F. Merget, S. S. Azadeh, J. Hauck, S. R. García, B. Shen, and J. Witzens, “Optical peaking enhancement in high-speed ring modulators,” Sci. Rep.4, (2014).
[Crossref]

Shi, W.

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

Shubin, I.

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

G. Li, X. Zheng, J. Yao, H. Thacker, I. Shubin, Y. Luo, K. Raj, J. E. Cunningham, and A. V. Krishnamoorthy, “25Gb/s 1V-driving CMOS ring modulator with integrated thermal tuning,” Opt. Express 19(21), 20435–20443 (2011).
[Crossref] [PubMed]

Storey, C.

Streshinsky, M.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

St-Yves, J.

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

Taylor, G.

Teo, S. H.-G.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Thacker, H.

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

G. Li, X. Zheng, J. Yao, H. Thacker, I. Shubin, Y. Luo, K. Raj, J. E. Cunningham, and A. V. Krishnamoorthy, “25Gb/s 1V-driving CMOS ring modulator with integrated thermal tuning,” Opt. Express 19(21), 20435–20443 (2011).
[Crossref] [PubMed]

Thomson, D. J.

G. T. Reed, G. Mashanovich, F. Y. Gardes, and D. J. Thomson, “Silicon optical modulators,” Nat. Photonics 4(8), 518–526 (2010).
[Crossref]

Titriku, A.

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

Van Campenhout, J.

H. Yu, D. Ying, M. Pantouvaki, J. Van Campenhout, P. Absil, Y. Hao, J. Yang, and X. Jiang, “Trade-off between optical modulation amplitude and modulation bandwidth of silicon micro-ring modulators,” Opt. Express 22(12), 15178–15189 (2014).
[Crossref] [PubMed]

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

Verheyen, P.

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

Waldron, P.

Wang, B.

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

Wang, Y.

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

Witzens, J.

S. Sharif Azadeh, J. Mller, F. Merget, S. Romero-Garca, B. Shen, and J. Witzens, “Advances in silicon photonics segmented electrode Mach-Zehnder modulators and peaking enhanced resonant devices,” Proc. SPIE 9288, 928817 (2014).
[Crossref]

J. Müller, F. Merget, S. S. Azadeh, J. Hauck, S. R. García, B. Shen, and J. Witzens, “Optical peaking enhancement in high-speed ring modulators,” Sci. Rep.4, (2014).
[Crossref]

Xu, D. X.

Xu, Q.

Xuan, Z.

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

Yang, J.

Yao, J.

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

G. Li, X. Zheng, J. Yao, H. Thacker, I. Shubin, Y. Luo, K. Raj, J. E. Cunningham, and A. V. Krishnamoorthy, “25Gb/s 1V-driving CMOS ring modulator with integrated thermal tuning,” Opt. Express 19(21), 20435–20443 (2011).
[Crossref] [PubMed]

Ying, D.

Yu, B.-M.

J. Rhim, Y. Ban, B.-M. Yu, J.-M. Lee, and W.-Y. Choi, “Verilog-A behavioral model for resonance-modulated silicon micro-ring modulator,” Opt. Express 23(7), 8762–8772 (2015).
[Crossref] [PubMed]

Y. Ban, J.-M. Lee, B.-M. Yu, S.-H. Cho, and W.-Y. Choi, “Small-signal frequency responses for si micro-ring modulators,” in Proceedings of IEEE Optical Interconnects Conference (IEEE, 2014), pp. 47–48.

Yu, H.

H. Yu, D. Ying, M. Pantouvaki, J. Van Campenhout, P. Absil, Y. Hao, J. Yang, and X. Jiang, “Trade-off between optical modulation amplitude and modulation bandwidth of silicon micro-ring modulators,” Opt. Express 22(12), 15178–15189 (2014).
[Crossref] [PubMed]

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

Yu, K.

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

Zhang, Y.

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

Zheng, D.

Zheng, X.

Zhong, Q.

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

J Lightwave Technol. (3)

X. Zheng, F. Liu, J. Lexau, D. Patil, G. Li, Y. Luo, H. Thacker, I. Shubin, J. Yao, K. Raj, R. Ho, J. E. Cunningham, and A. V. Krishnamoorthy, “Ultralow power 80 Gb/s arrayed CMOS silicon photonic transceivers for WDM optical links,” J Lightwave Technol. 30(4), 641–650 (2012).
[Crossref]

R. Dube-Demers, J. St-Yves, A. Bois, Q. Zhong, M. Caverley, Y. Wang, L. Chrostowski, S. LaRochelle, D. Plant, and W. Shi, “Analytical modeling of silicon microring and microdisk modulators with electrical and optical dynamics,” J Lightwave Technol. 33, 4240–4252 (2015).
[Crossref]

B. Little, S. Chu, H. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J Lightwave Technol. 15, 998–1005 (1997).
[Crossref]

Micro. IEEE (1)

N. Ophir, C. Mineo, D. Mountain, and K. Bergman, “Silicon photonic microring links for high-bandwidth-density, low-power chip I/O,” Micro. IEEE 33, 54–67 (2013).
[Crossref]

Nat. Photonics (1)

G. T. Reed, G. Mashanovich, F. Y. Gardes, and D. J. Thomson, “Silicon optical modulators,” Nat. Photonics 4(8), 518–526 (2010).
[Crossref]

Opt. Express (9)

P. Dong, S. Liao, D. Feng, H. Liang, D. Zheng, R. Shafiiha, C. C. Kung, W. Qian, G. Li, X. Zheng, A. V. Krishnamoorthy, and M. Asghari, “Low V pp, ultralow-energy, compact, high-speed silicon electro-optic modulator,” Opt. Express 17(25), 22484–22490 (2009).
[Crossref]

H. Yu, D. Ying, M. Pantouvaki, J. Van Campenhout, P. Absil, Y. Hao, J. Yang, and X. Jiang, “Trade-off between optical modulation amplitude and modulation bandwidth of silicon micro-ring modulators,” Opt. Express 22(12), 15178–15189 (2014).
[Crossref] [PubMed]

Q. Xu, B. Schmidt, J. Shakya, and M. Lipson, “Cascaded silicon micro-ring modulators for WDM optical interconnection,” Opt. Express 14(20), 9431–9435(2006).
[Crossref] [PubMed]

B. Pile and G. Taylor, “Small-signal analysis of microring resonator modulators,” Opt. Express 22, 14913–14928 (2014).
[Crossref] [PubMed]

W. D. Sacher and J. K. Poon, “Dynamics of microring resonator modulators,” Opt. Express 16(20), 15741–15753 (2008).
[Crossref] [PubMed]

J. Rhim, Y. Ban, B.-M. Yu, J.-M. Lee, and W.-Y. Choi, “Verilog-A behavioral model for resonance-modulated silicon micro-ring modulator,” Opt. Express 23(7), 8762–8772 (2015).
[Crossref] [PubMed]

W. R. McKinnon, D. X. Xu, C. Storey, E. Post, A. Densmore, A. Delâge, P. Waldron, J. H. Schmid, and S. Janz, “Extracting coupling and loss coefficients from a ring resonator,” Opt. Express 17, 18971–18982 (2009).
[Crossref]

T. Baehr-Jones, R. Ding, Y. Liu, A. Ayazi, T. Pinguet, N. C. Harris, M. Streshinsky, P. Lee, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “Ultralow drive voltage silicon traveling-wave modulator,” Opt. Express 20, 12014–12020 (2012).
[Crossref] [PubMed]

G. Li, X. Zheng, J. Yao, H. Thacker, I. Shubin, Y. Luo, K. Raj, J. E. Cunningham, and A. V. Krishnamoorthy, “25Gb/s 1V-driving CMOS ring modulator with integrated thermal tuning,” Opt. Express 19(21), 20435–20443 (2011).
[Crossref] [PubMed]

Proc. IEEE (1)

D. A. Miller, “Device requirements for optical interconnects to silicon chips,” Proc. IEEE 97(7), 1166–1185 (2009).
[Crossref]

Proc. SPIE (1)

S. Sharif Azadeh, J. Mller, F. Merget, S. Romero-Garca, B. Shen, and J. Witzens, “Advances in silicon photonics segmented electrode Mach-Zehnder modulators and peaking enhanced resonant devices,” Proc. SPIE 9288, 928817 (2014).
[Crossref]

Other (8)

G. Ghione, Semiconductor Devices for High-Speed Optoelectronics (Cambridge, 2009), Ch. 6.
[Crossref]

H. A. Haus, Waves and Fields in Optoelectronics (Prentice-Hall, 1984).

Y. Ban, J.-M. Lee, B.-M. Yu, S.-H. Cho, and W.-Y. Choi, “Small-signal frequency responses for si micro-ring modulators,” in Proceedings of IEEE Optical Interconnects Conference (IEEE, 2014), pp. 47–48.

M. Pantouvaki, P. Verheyen, G. Lepage, J. De Coster, H. Yu, P. De Heyn, A. Masood, W. Bogaerts, P. Absil, and J. Van Campenhout, “8×14Gb/s Si ring WDM modulator array with integrated tungsten heaters and Ge monitor photodetectors,” in Optical Fiber Communications Conference and Exhibition (OFC, 2014), pp. 1–3.

H. Li, Z. Xuan, A. Titriku, C. Li, K. Yu, B. Wang, A. Shafik, N. Qi, Y. Liu, and R. Ding, “22.6 A 25Gb/s 4.4 V-swing AC-coupled Si-photonic microring transmitter with 2-tap asymmetric FFE and dynamic thermal tuning in 65nm CMOS,” in IEEE International Solid-State Circuits Conference (ISSCC, 2015), pp. 1–3.

J. Müller, F. Merget, S. S. Azadeh, J. Hauck, S. R. García, B. Shen, and J. Witzens, “Optical peaking enhancement in high-speed ring modulators,” Sci. Rep.4, (2014).
[Crossref]

T. Baehr-Jones, R. Ding, A. Ayazi, T. Pinguet, M. Streshinsky, N. Harris, J. Li, L. He, M. Gould, Y. Zhang, A. E.-J. Lim, T.-Y. Liow, S. H.-G. Teo, G.-Q. Lo, and M. Hochberg, “A 25 Gb/s silicon photonics platform,” arXiv preprint arXiv:1203.0767 (2012).

http://www.ime.a-star.edu.sg/PPSSite/index.asp .

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Figures (11)

Fig. 1
Fig. 1

Ring modulator small-signal block diagram.

Fig. 2
Fig. 2

(a) Pole-zero diagram of a ring modulator. Location of zero divided by −2/τl (b) versus Δωτ, excluding Δωτ = 0, for three coupling conditions (c) versus τel at Δωτ = ±2.

Fig. 3
Fig. 3

DC gain for three coupling conditions versus Δωτ.

Fig. 4
Fig. 4

(a) Cross section of the ring modulator waveguide in the active region. (b) Optical microscope image of the fabricated ring modulator.

Fig. 5
Fig. 5

(a) Measured optical power transmission spectra (resolution of 2.5 × 10−4nm) at various bias voltages. Extracted (b) Δα and (c) Δneff from the measured spectra shown in (a).

Fig. 6
Fig. 6

Measured and simulated small-signal (a) electro-optical response versus modulation frequency, fm, (b) 3dB bandwidth of the reverse-biased ring modulator.

Fig. 7
Fig. 7

Normalized GDC, f3dB, and GBW versus Δωτ for a constant τ.

Fig. 8
Fig. 8

(a) Pole-zero diagram of a ring modulator. Simulated (b) GBW versus Δωτ for several fRC (c) GBW maxima versus fRC/fQ (d) Δωτ corresponding to the GBW maxima versus fRC/fQ.

Fig. 9
Fig. 9

(a) Simulated f3dB/fQ versus DC gain penalty for several fRC. (b) Trade-off coefficient, defined as the slope of the lines fitted to f3dB/fQ versus DC gain penalty curves, versus fRC/fQ for both positive and negative detunings.

Fig. 10
Fig. 10

(a) Pole-zero diagrams of the ring modulator when p3 = −24/τ and from left to right τe = τl/2, τe = τl, and τe = 2τl. (b) corresponding Bode plots of the pole-zero diagrams shown in (a).

Fig. 11
Fig. 11

(a) Ring modulator 3dB bandwidth (b) GBW versus Δωτ when τl = 80ps and τe is equal to τl/2, τl, and 2τl. (c) Laser detunings corresponding to the maximum GBW at positive detunings (d) GBW maximum versus τel for τl = 80ps.

Equations (20)

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H t ( ω m ) = P ^ out V ^ in .
H E ( ω m ) = 1 1 + j ω m R eq C eq .
v j ˜ ( t ) = V ^ in | H E ( ω m ) | cos ( ω m t + ϕ HE ( ω m ) ) ,
H EO = ( ω r n g n eff v | V DC + j ( 1 / τ ) v | V DC ) .
d a d t = ( j ω r 1 τ ) a j μ S i ,
S t = S i j μ a ,
a 0 = j μ j Δ ω + 1 τ S i 0 S t 0 = j Δ ω + 1 τ 2 τ e j Δ ω + 1 τ S i 0 ,
P ^ out = μ e j ϕ HE [ Ω r a 0 S t 0 * 1 τ + j ( Δ ω + ω m ) + Ω r * a 0 * S t 0 1 τ j ( Δ ω ω m ) ] .
P ^ out = 2 μ 2 P in e j ϕ HE Re ( Ω r ) 1 τ 2 + Δ ω 2 [ j ω m ( tan ( ϕ Ω r ) ( 1 τ l 1 τ e ) Δ ω ) 2 Δ ω τ l tan ( ϕ Ω r ) ( Δ ω 2 1 τ ( 1 τ l 1 τ e ) ) ω m 2 + 2 τ ( j ω m ) + Δ ω 2 + 1 τ 2 ] ,
H t ( ω m ) = 2 μ 2 P in ( ω r n g n eff v | V DC ) 1 τ 2 + Δ ω 2 ( tan ( ϕ HEO ) ( 1 τ l 1 τ e ) Δ ω ) 1 + j ω m R eq C eq [ j ω m 2 Δ ω τ l + tan ( ϕ HEO ) ( Δ ω 2 1 τ ( 1 τ l 1 τ e ) ) tan ( ϕ HEO ) ( 1 τ l 1 τ e ) Δ ω ω m 2 + 2 τ ( j ω m ) + Δ ω 2 + 1 τ 2 ] .
H t ( s ) = G DC 1 1 + s 1 R eq C eq [ ( s z + 1 ) ω n 2 s 2 + 2 ζ ω n s + ω n 2 ]
G DC = 2 μ 2 P in ( ω r n g n eff v | V DC ) ω n 4 ( 2 Δ ω τ l + tan ( ϕ HEO ) ( Δ ω 2 1 τ ( 1 τ l 1 τ e ) ) ) .
p 1 , 2 = 1 τ ± j Δ ω p 3 = 1 R eq C eq , z = 2 Δ ω τ l + tan ( ϕ HEO ) ( Δ ω 2 1 τ ( 1 τ l 1 τ e ) ) tan ( ϕ HEO ) ( 1 τ l 1 τ e ) Δ ω .
z = 2 τ l tan ( ϕ HEO ) Δ ω ( Δ ω 2 1 τ ( 1 τ l 1 τ e ) ) .
H t ( s ) | Δ ω = 0 = 2 μ 2 P in ( ω r n g n eff v | V DC ) 1 τ 3 tan ( ϕ HEO ) ( 1 τ l 1 τ e ) 1 + s 1 R eq C eq 1 1 + s 1 τ ,
τ l = 2 v g α ( v ) , τ e = 2 L r t v g κ 2 ,
H t ( s ) = G DC 1 1 + s 1 R eq C eq [ ( s 2 τ l + 1 ) ω n 2 s 2 + 2 ζ ω n s + ω n 2 ] ,
G DC = 2 μ 2 P in ( ω r n g n eff v | V DC ) Δ ω ( Δ ω 2 + 1 τ 2 ) 2 2 τ l .
f 3 dB = 1 2 π τ 3 Δ ω 2 τ 2 + Δ ω 4 τ 4 + 1 + 2 Δ ω 2 τ 2 + 10 Δ ω 4 τ 4 + 6 Δ ω 6 τ 6 + Δ ω 8 τ 8 .
GBW = K τ Δ ω τ ( Δ ω 2 τ 2 + 1 ) 2 3 Δ ω 2 τ 2 + Δ ω 4 τ 4 + 1 + 2 Δ ω 2 τ 2 + 10 Δ ω 4 τ 4 + 6 Δ ω 6 τ 6 + Δ ω 8 τ 8

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