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Power handling of silicon microring modulators
References. View by:. Article Order. Year. Author. Publication. D. A. B. Miller, “Rationale and challenges for optical interconnects to electronic chips,” Proc. IEEE 88(6), 728–749 (2000). [Crossref] . C. A. Brackett, “Dense wavelength division multiplexing networks: principles and applications,” IEEE J. on Sel. Areas Commun. 8(6), 948–964 (1990). [Crossref] . K. Preston, N. Sherwood-Droz, J. S. Levy, and M. Lipson, “Performance guidelines for WDM interconnects based on silicon microring resonators,” in CLEO: 2011 - Laser Science to Photonic Applications, pp. 1–2 (2011). . A. Joshi, C. Batten, Y. J. Kwon, S. Beamer, I. Shamim, K. Asanovic, and V. Stojanovic, “Silicon-photonic clos networks for global on-chip communication,” in 2009 3rd ACM/IEEE International Symposium on Networks-on-Chip, pp. 124–133 (2009). . R. Soref and B. Bennett, “Electrooptical effects in silicon,” IEEE J. Quantum Electron. 23(1), 123–129 (1987). [Crossref] . Q. Xu, , B. Schmidt, S. Pradhan, and M. Lipson, “Micrometre-scale silicon electro-optic modulator,” Nature 435(7040), 325–327 (2005). [Crossref] . E. Timurdogan, C. M. Sorace-Agaskar, J. Sun, E. S. Hosseini, A. Biberman, and M. R. Watts, “An ultralow power athermal silicon modulator,” Nat. Commun. 5(1), 4008 (2014). [Crossref] . M. Dinu, F. Quochi, and H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82(18), 2954–2956 (2003). [Crossref] . V. R. Almeida and M. Lipson, “Optical bistability on a silicon chip,” Opt. Lett. 29(20), 2387–2389 (2004). [Crossref] . Q. Xu and M. Lipson, “Carrier-induced optical bistability in silicon ring resonators,” Opt. Lett. 31(3), 341–343 (2006). [Crossref] . T. J. Johnson, , M. Borselli, and O. Painter, “Self-induced optical modulation of the transmission through a high-Q silicon microdisk resonator,” Opt. Express 14(2), 817–831 (2006). [Crossref] . M. Soltani, S. Yegnanarayanan, Q. Li, A. A. Eftekhar, and A. Adibi, “Self-sustained gigahertz electronic oscillations in ultrahigh-$Q$Q photonic microresonators,” Phys. Rev. A 85(5), 053819 (2012). [Crossref] . S. M. Sze and K. K. Ng, Physics of Semiconductor Devices (John Wiley & Sons Ltd., 2006). . G. Treyz, “Silicon Mach-Zehnder waveguide interferometers operating at 1.3 $\mu$μm,” Electron. Lett. 27(2), 118–120 (1991). [Crossref] . M. Borselli, T. J. Johnson, and O. Painter, “Accurate measurement of scattering and absorption loss in microphotonic devices,” Opt. Lett. 32(20), 2954–2956 (2007). [Crossref] . M. de Cea, A. H. Atabaki, L. Alloatti, M. Wade, M. Popovic, and R. J. Ram, “A thin silicon photonic platform for telecommunication wavelengths,” in 2017 European Conference on Optical Communication (ECOC), pp. 1–3 (2017). . D. Dimitropoulos, R. Jhaveri, R. Claps, J. C. S. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett. 86(7), 071115 (2005). [Crossref] . G. Li, , A. V. Krishnamoorthy, , I. Shubin, J. Yao, Y. Luo, H. Thacker, X. Zheng, K. Raj, and J. E. Cunningham, “Ring resonator modulators in silicon for interchip photonic links,” IEEE J. Sel. Top. Quantum Electron. 19(6), 95–113 (2013). [Crossref] . J. T. Robinson, K. Preston, O. Painter, and M. Lipson, “First-principle derivation of gain in high-index-contrast waveguides,” Opt. Express 16(21), 16659–16669 (2008). [Crossref] . L. Shampine and M. Reichelt, “The MATLAB ODE suite,” SIAM J. Sci. Comput. 18(1), 1–22 (1997). [Crossref] . L. Alloatti, D. Cheian, and R. J. Ram, “High-speed modulator with interleaved junctions in zero-change CMOS photonics,” Appl. Phys. Lett. 108(13), 131101 (2016). [Crossref] . J. S. Orcutt, B. Moss, C. Sun, J. Leu, M. Georgas, J. Shainline, E. Zgraggen, H. Li, J. Sun, M. Weaver, S. Urošević, M. Popović, R. J. Ram, and V. Stojanović, “Open foundry platform for high-performance electronic-photonic integration,” Opt. Express 20(11), 12222–12232 (2012). [Crossref] . C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. Stojanović, “A 45 nm CMOS-SOI monolithic photonics platform with bit-statistics-based resonant microring thermal tuning,” IEEE J. Solid-State Circuits 51(4), 893–907 (2016). [Crossref] . G. P. Agrawal, Fiber-Optic Communication Systems (John Wiley & Sons, Inc., 2011). . T. Carmon, T. J. Kippenberg, L. Yang, H. Rokhsari, S. Spillane, and K. J. Vahala, “Feedback control of ultra-high-Q microcavities: application to micro-raman lasers and micro-parametric oscillators,” Opt. Express 13(9), 3558–3566 (2005). [Crossref] . 2016 (2). L. Alloatti, D. Cheian, and R. J. Ram, “High-speed modulator with interleaved junctions in zero-change CMOS photonics,” Appl. Phys. Lett. 108(13), 131101 (2016). [Crossref] C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. Stojanović, “A 45 nm CMOS-SOI monolithic photonics platform with bit-statistics-based resonant microring thermal tuning,” IEEE J. Solid-State Circuits 51(4), 893–907 (2016). [Crossref] 2014 (1). E. Timurdogan, C. M. Sorace-Agaskar, J. Sun, E. S. Hosseini, A. Biberman, and M. R. Watts, “An ultralow power athermal silicon modulator,” Nat. Commun. 5(1), 4008 (2014). [Crossref] 2013 (1). G. Li, , A. V. Krishnamoorthy, , I. Shubin, J. Yao, Y. Luo, H. Thacker, X. Zheng, K. Raj, and J. E. Cunningham, “Ring resonator modulators in silicon for interchip photonic links,” IEEE J. Sel. Top. Quantum Electron. 19(6), 95–113 (2013). [Crossref] 2012 (2). J. S. Orcutt, B. Moss, C. Sun, J. Leu, M. Georgas, J. Shainline, E. Zgraggen, H. Li, J. Sun, M. Weaver, S. Urošević, M. Popović, R. J. Ram, and V. Stojanović, “Open foundry platform for high-performance electronic-photonic integration,” Opt. Express 20(11), 12222–12232 (2012). [Crossref] M. Soltani, S. Yegnanarayanan, Q. Li, A. A. Eftekhar, and A. Adibi, “Self-sustained gigahertz electronic oscillations in ultrahigh-$Q$Q photonic microresonators,” Phys. Rev. A 85(5), 053819 (2012). [Crossref] 2008 (1). J. T. Robinson, K. Preston, O. Painter, and M. Lipson, “First-principle derivation of gain in high-index-contrast waveguides,” Opt. Express 16(21), 16659–16669 (2008). [Crossref] 2007 (1). M. Borselli, T. J. Johnson, and O. Painter, “Accurate measurement of scattering and absorption loss in microphotonic devices,” Opt. Lett. 32(20), 2954–2956 (2007). [Crossref] 2006 (2). Q. Xu and M. Lipson, “Carrier-induced optical bistability in silicon ring resonators,” Opt. Lett. 31(3), 341–343 (2006). [Crossref] T. J. Johnson, , M. Borselli, and O. Painter, “Self-induced optical modulation of the transmission through a high-Q silicon microdisk resonator,” Opt. Express 14(2), 817–831 (2006). [Crossref] 2005 (3). Q. Xu, , B. Schmidt, S. Pradhan, and M. Lipson, “Micrometre-scale silicon electro-optic modulator,” Nature 435(7040), 325–327 (2005). [Crossref] D. Dimitropoulos, R. Jhaveri, R. Claps, J. C. S. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett. 86(7), 071115 (2005). [Crossref] T. Carmon, T. J. Kippenberg, L. Yang, H. Rokhsari, S. Spillane, and K. J. Vahala, “Feedback control of ultra-high-Q microcavities: application to micro-raman lasers and micro-parametric oscillators,” Opt. Express 13(9), 3558–3566 (2005). [Crossref] 2004 (1). V. R. Almeida and M. Lipson, “Optical bistability on a silicon chip,” Opt. Lett. 29(20), 2387–2389 (2004). [Crossref] 2003 (1). M. Dinu, F. Quochi, and H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82(18), 2954–2956 (2003). [Crossref] 2000 (1). D. A. B. Miller, “Rationale and challenges for optical interconnects to electronic chips,” Proc. IEEE 88(6), 728–749 (2000). [Crossref] 1997 (1). L. Shampine and M. Reichelt, “The MATLAB ODE suite,” SIAM J. Sci. Comput. 18(1), 1–22 (1997). [Crossref] 1991 (1). G. Treyz, “Silicon Mach-Zehnder waveguide interferometers operating at 1.3 $\mu$μm,” Electron. Lett. 27(2), 118–120 (1991). [Crossref] 1990 (1). C. A. Brackett, “Dense wavelength division multiplexing networks: principles and applications,” IEEE J. on Sel. Areas Commun. 8(6), 948–964 (1990). [Crossref] 1987 (1). R. Soref and B. Bennett, “Electrooptical effects in silicon,” IEEE J. Quantum Electron. 23(1), 123–129 (1987). [Crossref] Adibi, A.. M. Soltani, S. Yegnanarayanan, Q. Li, A. A. Eftekhar, and A. Adibi, “Self-sustained gigahertz electronic oscillations in ultrahigh-$Q$Q photonic microresonators,” Phys. Rev. A 85(5), 053819 (2012). [Crossref] Agrawal, G. P.. G. P. Agrawal, Fiber-Optic Communication Systems (John Wiley & Sons, Inc., 2011). Alloatti, L.. C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. Stojanović, “A 45 nm CMOS-SOI monolithic photonics platform with bit-statistics-based resonant microring thermal tuning,” IEEE J. Solid-State Circuits 51(4), 893–907 (2016). [Crossref] L. Alloatti, D. Cheian, and R. J. Ram, “High-speed modulator with interleaved junctions in zero-change CMOS photonics,” Appl. Phys. Lett. 108(13), 131101 (2016). [Crossref] M. de Cea, A. H. Atabaki, L. Alloatti, M. Wade, M. Popovic, and R. J. Ram, “A thin silicon photonic platform for telecommunication wavelengths,” in 2017 European Conference on Optical Communication (ECOC), pp. 1–3 (2017). Almeida, V. R.. V. R. Almeida and M. Lipson, “Optical bistability on a silicon chip,” Opt. Lett. 29(20), 2387–2389 (2004). [Crossref] Asanovic, K.. A. Joshi, C. Batten, Y. J. Kwon, S. Beamer, I. Shamim, K. Asanovic, and V. Stojanovic, “Silicon-photonic clos networks for global on-chip communication,” in 2009 3rd ACM/IEEE International Symposium on Networks-on-Chip, pp. 124–133 (2009). Atabaki, A. H.. C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. Stojanović, “A 45 nm CMOS-SOI monolithic photonics platform with bit-statistics-based resonant microring thermal tuning,” IEEE J. Solid-State Circuits 51(4), 893–907 (2016). [Crossref] M. de Cea, A. H. Atabaki, L. Alloatti, M. Wade, M. Popovic, and R. J. Ram, “A thin silicon photonic platform for telecommunication wavelengths,” in 2017 European Conference on Optical Communication (ECOC), pp. 1–3 (2017). Batten, C.. A. Joshi, C. Batten, Y. J. Kwon, S. Beamer, I. Shamim, K. Asanovic, and V. Stojanovic, “Silicon-photonic clos networks for global on-chip communication,” in 2009 3rd ACM/IEEE International Symposium on Networks-on-Chip, pp. 124–133 (2009). Beamer, S.. A. Joshi, C. Batten, Y. J. Kwon, S. Beamer, I. Shamim, K. Asanovic, and V. Stojanovic, “Silicon-photonic clos networks for global on-chip communication,” in 2009 3rd ACM/IEEE International Symposium on Networks-on-Chip, pp. 124–133 (2009). Bennett, B.. R. Soref and B. Bennett, “Electrooptical effects in silicon,” IEEE J. Quantum Electron. 23(1), 123–129 (1987). [Crossref] Biberman, A.. E. Timurdogan, C. M. Sorace-Agaskar, J. Sun, E. S. Hosseini, A. Biberman, and M. R. Watts, “An ultralow power athermal silicon modulator,” Nat. Commun. 5(1), 4008 (2014). [Crossref] Borselli, M.. M. Borselli, T. J. Johnson, and O. Painter, “Accurate measurement of scattering and absorption loss in microphotonic devices,” Opt. Lett. 32(20), 2954–2956 (2007). [Crossref] T. J. Johnson, , M. Borselli, and O. Painter, “Self-induced optical modulation of the transmission through a high-Q silicon microdisk resonator,” Opt. Express 14(2), 817–831 (2006). [Crossref] Brackett, C. A.. C. A. Brackett, “Dense wavelength division multiplexing networks: principles and applications,” IEEE J. on Sel. Areas Commun. 8(6), 948–964 (1990). [Crossref] Carmon, T.. T. Carmon, T. J. Kippenberg, L. Yang, H. Rokhsari, S. Spillane, and K. J. Vahala, “Feedback control of ultra-high-Q microcavities: application to micro-raman lasers and micro-parametric oscillators,” Opt. Express 13(9), 3558–3566 (2005). [Crossref] Cheian, D.. L. Alloatti, D. Cheian, and R. J. Ram, “High-speed modulator with interleaved junctions in zero-change CMOS photonics,” Appl. Phys. Lett. 108(13), 131101 (2016). [Crossref] Claps, R.. D. Dimitropoulos, R. Jhaveri, R. Claps, J. C. S. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett. 86(7), 071115 (2005). [Crossref] Cunningham, J. E.. G. Li, , A. V. Krishnamoorthy, , I. Shubin, J. Yao, Y. Luo, H. Thacker, X. Zheng, K. Raj, and J. E. Cunningham, “Ring resonator modulators in silicon for interchip photonic links,” IEEE J. Sel. Top. Quantum Electron. 19(6), 95–113 (2013). [Crossref] de Cea, M.. M. de Cea, A. H. Atabaki, L. Alloatti, M. Wade, M. Popovic, and R. J. Ram, “A thin silicon photonic platform for telecommunication wavelengths,” in 2017 European Conference on Optical Communication (ECOC), pp. 1–3 (2017). Dimitropoulos, D.. D. Dimitropoulos, R. Jhaveri, R. Claps, J. C. S. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett. 86(7), 071115 (2005). [Crossref] Dinu, M.. M. Dinu, F. Quochi, and H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82(18), 2954–2956 (2003). [Crossref] Eftekhar, A. A.. M. Soltani, S. Yegnanarayanan, Q. Li, A. A. Eftekhar, and A. Adibi, “Self-sustained gigahertz electronic oscillations in ultrahigh-$Q$Q photonic microresonators,” Phys. Rev. A 85(5), 053819 (2012). [Crossref] Garcia, H.. M. Dinu, F. Quochi, and H. Garcia, “Third-order nonlinearities in silicon at telecom wavelengths,” Appl. Phys. Lett. 82(18), 2954–2956 (2003). [Crossref] Georgas, M.. C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. Stojanović, “A 45 nm CMOS-SOI monolithic photonics platform with bit-statistics-based resonant microring thermal tuning,” IEEE J. Solid-State Circuits 51(4), 893–907 (2016). [Crossref] J. S. Orcutt, B. Moss, C. Sun, J. Leu, M. Georgas, J. Shainline, E. Zgraggen, H. Li, J. Sun, M. Weaver, S. Urošević, M. Popović, R. J. Ram, and V. Stojanović, “Open foundry platform for high-performance electronic-photonic integration,” Opt. Express 20(11), 12222–12232 (2012). [Crossref] Hosseini, E. S.. E. Timurdogan, C. M. Sorace-Agaskar, J. Sun, E. S. Hosseini, A. Biberman, and M. R. Watts, “An ultralow power athermal silicon modulator,” Nat. Commun. 5(1), 4008 (2014). [Crossref] Jalali, B.. D. Dimitropoulos, R. Jhaveri, R. Claps, J. C. S. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett. 86(7), 071115 (2005). [Crossref] Jhaveri, R.. D. Dimitropoulos, R. Jhaveri, R. Claps, J. C. S. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett. 86(7), 071115 (2005). [Crossref] Johnson, T. J.. M. Borselli, T. J. Johnson, and O. Painter, “Accurate measurement of scattering and absorption loss in microphotonic devices,” Opt. Lett. 32(20), 2954–2956 (2007). [Crossref] T. J. Johnson, , M. Borselli, and O. Painter, “Self-induced optical modulation of the transmission through a high-Q silicon microdisk resonator,” Opt. Express 14(2), 817–831 (2006). [Crossref] Joshi, A.. A. Joshi, C. Batten, Y. J. Kwon, S. Beamer, I. Shamim, K. Asanovic, and V. Stojanovic, “Silicon-photonic clos networks for global on-chip communication,” in 2009 3rd ACM/IEEE International Symposium on Networks-on-Chip, pp. 124–133 (2009). Kippenberg, T. J.. T. Carmon, T. J. Kippenberg, L. Yang, H. Rokhsari, S. Spillane, and K. J. Vahala, “Feedback control of ultra-high-Q microcavities: application to micro-raman lasers and micro-parametric oscillators,” Opt. Express 13(9), 3558–3566 (2005). [Crossref] Krishnamoorthy, A. V.. G. Li, , A. V. Krishnamoorthy, , I. Shubin, J. Yao, Y. Luo, H. Thacker, X. Zheng, K. Raj, and J. E. Cunningham, “Ring resonator modulators in silicon for interchip photonic links,” IEEE J. Sel. Top. Quantum Electron. 19(6), 95–113 (2013). [Crossref] Kumar, R.. C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. Stojanović, “A 45 nm CMOS-SOI monolithic photonics platform with bit-statistics-based resonant microring thermal tuning,” IEEE J. Solid-State Circuits 51(4), 893–907 (2016). [Crossref] Kwon, Y. J.. A. Joshi, C. Batten, Y. J. Kwon, S. Beamer, I. Shamim, K. Asanovic, and V. Stojanovic, “Silicon-photonic clos networks for global on-chip communication,” in 2009 3rd ACM/IEEE International Symposium on Networks-on-Chip, pp. 124–133 (2009). Leu, J.. J. S. Orcutt, B. Moss, C. Sun, J. Leu, M. Georgas, J. Shainline, E. Zgraggen, H. Li, J. Sun, M. Weaver, S. Urošević, M. Popović, R. J. Ram, and V. Stojanović, “Open foundry platform for high-performance electronic-photonic integration,” Opt. Express 20(11), 12222–12232 (2012). [Crossref] Levy, J. S.. K. Preston, N. Sherwood-Droz, J. S. Levy, and M. Lipson, “Performance guidelines for WDM interconnects based on silicon microring resonators,” in CLEO: 2011 - Laser Science to Photonic Applications, pp. 1–2 (2011). Li, G.. G. Li, , A. V. Krishnamoorthy, , I. Shubin, J. Yao, Y. Luo, H. Thacker, X. Zheng, K. Raj, and J. E. Cunningham, “Ring resonator modulators in silicon for interchip photonic links,” IEEE J. Sel. Top. Quantum Electron. 19(6), 95–113 (2013). [Crossref] Li, H.. J. S. Orcutt, B. Moss, C. Sun, J. Leu, M. Georgas, J. Shainline, E. Zgraggen, H. Li, J. Sun, M. Weaver, S. Urošević, M. Popović, R. J. Ram, and V. Stojanović, “Open foundry platform for high-performance electronic-photonic integration,” Opt. Express 20(11), 12222–12232 (2012). [Crossref] Li, Q.. M. Soltani, S. Yegnanarayanan, Q. Li, A. A. Eftekhar, and A. Adibi, “Self-sustained gigahertz electronic oscillations in ultrahigh-$Q$Q photonic microresonators,” Phys. Rev. A 85(5), 053819 (2012). [Crossref] Lin, S.. C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. Stojanović, “A 45 nm CMOS-SOI monolithic photonics platform with bit-statistics-based resonant microring thermal tuning,” IEEE J. Solid-State Circuits 51(4), 893–907 (2016). [Crossref] Lipson, M.. J. T. Robinson, K. Preston, O. Painter, and M. Lipson, “First-principle derivation of gain in high-index-contrast waveguides,” Opt. Express 16(21), 16659–16669 (2008). [Crossref] Q. Xu and M. Lipson, “Carrier-induced optical bistability in silicon ring resonators,” Opt. Lett. 31(3), 341–343 (2006). [Crossref] Q. Xu, , B. Schmidt, S. Pradhan, and M. Lipson, “Micrometre-scale silicon electro-optic modulator,” Nature 435(7040), 325–327 (2005). [Crossref] V. R. Almeida and M. Lipson, “Optical bistability on a silicon chip,” Opt. Lett. 29(20), 2387–2389 (2004). [Crossref] K. Preston, N. Sherwood-Droz, J. S. Levy, and M. Lipson, “Performance guidelines for WDM interconnects based on silicon microring resonators,” in CLEO: 2011 - Laser Science to Photonic Applications, pp. 1–2 (2011). Luo, Y.. G. Li, , A. V. Krishnamoorthy, , I. Shubin, J. Yao, Y. Luo, H. Thacker, X. Zheng, K. Raj, and J. E. Cunningham, “Ring resonator modulators in silicon for interchip photonic links,” IEEE J. Sel. Top. Quantum Electron. 19(6), 95–113 (2013). [Crossref] Miller, D. A. B.. D. A. B. Miller, “Rationale and challenges for optical interconnects to electronic chips,” Proc. IEEE 88(6), 728–749 (2000). [Crossref] Moss, B.. C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. Stojanović, “A 45 nm CMOS-SOI monolithic photonics platform with bit-statistics-based resonant microring thermal tuning,” IEEE J. Solid-State Circuits 51(4), 893–907 (2016). [Crossref] J. S. Orcutt, B. Moss, C. Sun, J. Leu, M. Georgas, J. Shainline, E. Zgraggen, H. Li, J. Sun, M. Weaver, S. Urošević, M. Popović, R. J. Ram, and V. Stojanović, “Open foundry platform for high-performance electronic-photonic integration,” Opt. Express 20(11), 12222–12232 (2012). [Crossref] Ng, K. K.. S. M. Sze and K. K. Ng, Physics of Semiconductor Devices (John Wiley & Sons Ltd., 2006). Orcutt, J. S.. C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. Stojanović, “A 45 nm CMOS-SOI monolithic photonics platform with bit-statistics-based resonant microring thermal tuning,” IEEE J. Solid-State Circuits 51(4), 893–907 (2016). [Crossref] J. S. Orcutt, B. Moss, C. Sun, J. Leu, M. Georgas, J. Shainline, E. Zgraggen, H. Li, J. Sun, M. Weaver, S. Urošević, M. Popović, R. J. Ram, and V. Stojanović, “Open foundry platform for high-performance electronic-photonic integration,” Opt. Express 20(11), 12222–12232 (2012). [Crossref] Painter, O.. J. T. Robinson, K. Preston, O. Painter, and M. Lipson, “First-principle derivation of gain in high-index-contrast waveguides,” Opt. Express 16(21), 16659–16669 (2008). [Crossref] M. Borselli, T. J. Johnson, and O. Painter, “Accurate measurement of scattering and absorption loss in microphotonic devices,” Opt. Lett. 32(20), 2954–2956 (2007). [Crossref] T. J. Johnson, , M. Borselli, and O. Painter, “Self-induced optical modulation of the transmission through a high-Q silicon microdisk resonator,” Opt. Express 14(2), 817–831 (2006). [Crossref] Pavanello, F.. C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. Stojanović, “A 45 nm CMOS-SOI monolithic photonics platform with bit-statistics-based resonant microring thermal tuning,” IEEE J. Solid-State Circuits 51(4), 893–907 (2016). [Crossref] Popovic, M.. C. Sun, M. Wade, M. Georgas, S. Lin, L. Alloatti, B. Moss, R. Kumar, A. H. Atabaki, F. Pavanello, J. M. Shainline, J. S. Orcutt, R. J. Ram, M. Popović, and V. 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