Abstract

We propose optimal designs for triply-resonant optical parametric oscillators (OPOs) based on degenerate four-wave mixing (FWM) in microcavities. We show that optimal designs in general call for different external coupling to pump and signal/idler resonances. We provide a number of normalized performance metrics including threshold pump power and maximum achievable conversion efficiency for OPOs with and without two-photon (TPA) and free-carrier absorption (FCA). We find that the maximum achievable conversion efficiency is bound to an upper limit by nonlinear and free-carrier losses independent of pump power, while linear losses only increase the pump power required to achieve a certain conversion efficiency. The results of this work suggest unique advantages in on-chip implementations that allow explicit engineering of resonances, mode field overlaps, dispersion, and wavelength-and mode-selective coupling. We provide universal design curves that yield optimum designs, and give example designs of microring-resonator-based OPOs in silicon at the wavelengths 1.55 μm (with TPA) and 2.3 μm (no TPA) as well as in silicon nitride (Si3N4) at 1.55 μm. For typical microcavity quality factor of 106, we show that the oscillation threshold in excitation bus can be well into the sub-mW regime for silicon microrings and a few mW for silicon nitride microrings. The conversion efficiency can be a few percent when pumped at 10 times of the threshold. Next, based on our results, we suggest a family of synthetic “photonic molecule”-like, coupled-cavity systems to implement optimum FWM, where structure design for control of resonant wavelengths can be separated from that of optimizing nonlinear conversion efficiency, and where furthermore pump, signal, and idler coupling to bus waveguides can be controlled independently, using interferometric cavity supermode coupling as an example. Finally, consideration of these complex geometries calls for a generalization of the nonlinear figure of merit (NFOM) as a metric for performance in nonlinear photonic systems, and shows different efficiencies for single and multi-cavity geometries, as well as for standing and traveling wave excitations.

© 2014 Optical Society of America

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2013

2012

2011

D. M. Ramirez, A. W. Rodriguez, H. Hashemi, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Degenerate four-wave mixing in triply resonant kerr cavities,” Phys. Rev. A83, 033834 (2011).
[CrossRef]

D. A. Fishman, C. M. Cirloganu, S. Webster, L. A. Padilha, M. Monroe, D. J. Hagan, and E. W. Van Stryland, “Sensitive mid-infrared detection in wide-bandgap semiconductors using extreme non-degenerate two-photon absorption,” Nat. Photonics5, 561–565 (2011).
[CrossRef]

M. A. Foster, J. S. Levy, O. Kuzucu, K. Saha, M. Lipson, and A. L. Gaeta, “Silicon-based monolithic optical frequency comb source,” Opt. Express19, 14233–14239 (2011).
[CrossRef] [PubMed]

B. Kuyken, H. Ji, S. Clemmen, S. Selvaraja, H. Hu, M. Pu, M. Galili, P. Jeppesen, G. Morthier, S. Massar, L. K. Oxenløwe, G. Roelkens, and R. Baets, “Nonlinear properties of and nonlinear processing in hydrogenated amorphous silicon waveguides,” Opt. Express19, B146–B153 (2011).
[CrossRef]

2010

2009

H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant kerr cavities,” Phys. Rev. A79, 013812 (2009).
[CrossRef]

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. Chu, B. Little, and D. Moss, “Cmos-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics4, 41–45 (2009).
[CrossRef]

J. S. Levy, A. Gondarenko, M. A. Foster, A. C. Turner-Foster, A. L. Gaeta, and M. Lipson, “Cmos-compatible multiple-wavelength oscillator for on-chip optical interconnects,” Nat. Photonics4, 37–40 (2009).
[CrossRef]

2008

2007

P. Dell’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature450, 1214–1217 (2007).
[CrossRef]

Q. Lin, J. Zhang, G. Piredda, R. Boyd, P. Fauchet, and G. Agrawal, “Dispersion of silicon nonlinearities in the near infrared region,” Appl. Phys. Lett.91, 021111 (2007).
[CrossRef]

A. Rodriguez, M. Soljačić, J. D. Joannopoulos, and S. G. Johnson, “χ(2) and χ(3) harmonic generation at a critical power in inhomogeneous doublyresonant cavities,” Opt. Express15, 7303–7318 (2007).
[CrossRef] [PubMed]

Q. Lin, O. J. Painter, and G. P. Agrawal, “Nonlinear optical phenomena in silicon waveguides: modeling and applications,” Opt. Express15, 16604–16644 (2007).
[CrossRef] [PubMed]

2006

2005

D. Dimitropoulos, R. Jhaveri, R. Claps, J. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett.86, 071115 (2005).
[CrossRef]

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave raman silicon laser,” Nature433, 725–728 (2005).
[CrossRef] [PubMed]

2004

T. Kippenberg, S. Spillane, and K. Vahala, “Kerr-nonlinearity optical parametric oscillation in an ultrahigh-q toroid microcavity,” Phys. Rev. Lett.93, 83904 (2004).
[CrossRef]

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett.93, 233903 (2004).
[CrossRef] [PubMed]

1997

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

Adibi, A.

A. H. Atabaki and A. Adibi, “Ultra-compact coupled-resonator device for four-wave-mixing applications,” in “CLEO: Science and Innovations,” (Optical Society of America, 2011), p. CTuS6.

Agha, I.

M. Davanço, J. R. Ong, A. B. Shehata, A. Tosi, I. Agha, S. Assefa, F. Xia, W. M. Green, S. Mookherjea, and K. Srinivasan, “Telecommunications-band heralded single photons from a silicon nanophotonic chip,” Appl. Phys. Lett.100, 261104 (2012).
[CrossRef]

Agrawal, G.

Q. Lin, J. Zhang, G. Piredda, R. Boyd, P. Fauchet, and G. Agrawal, “Dispersion of silicon nonlinearities in the near infrared region,” Appl. Phys. Lett.91, 021111 (2007).
[CrossRef]

Agrawal, G. P.

Arcizet, O.

P. Dell’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature450, 1214–1217 (2007).
[CrossRef]

Assefa, S.

M. Davanço, J. R. Ong, A. B. Shehata, A. Tosi, I. Agha, S. Assefa, F. Xia, W. M. Green, S. Mookherjea, and K. Srinivasan, “Telecommunications-band heralded single photons from a silicon nanophotonic chip,” Appl. Phys. Lett.100, 261104 (2012).
[CrossRef]

Atabaki, A. H.

A. H. Atabaki and A. Adibi, “Ultra-compact coupled-resonator device for four-wave-mixing applications,” in “CLEO: Science and Innovations,” (Optical Society of America, 2011), p. CTuS6.

Azzini, S.

Baets, R.

Bajoni, D.

Barwicz, T.

M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, F. Gan, M. S. Dahlem, C. W. Holzwarth, P. T. Rakich, H. I. Smith, E. P. Ippen, and F. X. Kärtner, “Transparent wavelength switching of resonant filters,” in “Conference on Lasers and Electro-Optics,” (Optical Society of America, 2007).

M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast, wide-fsr microring-resonator filter design and realization with frequency-shift compensation,” in “Optical Fiber Communication Conference,” (Optical Society of America, 2005).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast and wide-FSR microring-resonator filter design and realization with frequency-shift compensation,” in “Technical Digest of the Optical Fiber Communication Conference,” (Anaheim, CA, 2005). Paper OFK1.

Bloch, J.

C. Diederichs, J. Tignon, G. Dasbach, C. Ciuti, A. Lemaitre, J. Bloch, P. Roussignol, and C. Delalande, “Parametric oscillation in vertical triple microcavities,” Nature440, 904–907 (2006).
[CrossRef] [PubMed]

Bonneau, D.

Boyd, R.

Q. Lin, J. Zhang, G. Piredda, R. Boyd, P. Fauchet, and G. Agrawal, “Dispersion of silicon nonlinearities in the near infrared region,” Appl. Phys. Lett.91, 021111 (2007).
[CrossRef]

Boyd, R. W.

R. W. Boyd, Nonlinear optics, 3rd ed. (Academic Press, 2008).

Chu, S.

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. Chu, B. Little, and D. Moss, “Cmos-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics4, 41–45 (2009).
[CrossRef]

Chu, S. T.

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

Cirloganu, C. M.

D. A. Fishman, C. M. Cirloganu, S. Webster, L. A. Padilha, M. Monroe, D. J. Hagan, and E. W. Van Stryland, “Sensitive mid-infrared detection in wide-bandgap semiconductors using extreme non-degenerate two-photon absorption,” Nat. Photonics5, 561–565 (2011).
[CrossRef]

Ciuti, C.

C. Diederichs, J. Tignon, G. Dasbach, C. Ciuti, A. Lemaitre, J. Bloch, P. Roussignol, and C. Delalande, “Parametric oscillation in vertical triple microcavities,” Nature440, 904–907 (2006).
[CrossRef] [PubMed]

Claps, R.

D. Dimitropoulos, R. Jhaveri, R. Claps, J. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett.86, 071115 (2005).
[CrossRef]

Clark, A. S.

Clemmen, S.

Cohen, O.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave raman silicon laser,” Nature433, 725–728 (2005).
[CrossRef] [PubMed]

Dahlem, M. S.

M. S. Dahlem, C. W. Holzwarth, H. I. Smith, E. P. Ippen, and M. A. Popović, “Dynamical slow light cell based on controlled far-field interference of microring resonators,” in “Integrated Photonics Research, Silicon and Nanophotonics,” (OSA, 2010).

M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

M. A. Popović, T. Barwicz, F. Gan, M. S. Dahlem, C. W. Holzwarth, P. T. Rakich, H. I. Smith, E. P. Ippen, and F. X. Kärtner, “Transparent wavelength switching of resonant filters,” in “Conference on Lasers and Electro-Optics,” (Optical Society of America, 2007).

Dasbach, G.

C. Diederichs, J. Tignon, G. Dasbach, C. Ciuti, A. Lemaitre, J. Bloch, P. Roussignol, and C. Delalande, “Parametric oscillation in vertical triple microcavities,” Nature440, 904–907 (2006).
[CrossRef] [PubMed]

Dašic, M.

M. Dašić and M. A. Popović, “Minimum drop-loss design of microphotonic microring-resonator channel add-drop filters,” in “Telecommunications Forum (TELFOR), 2012 20th,” (IEEE, 2012), pp. 927–930.

Davanço, M.

M. Davanço, J. R. Ong, A. B. Shehata, A. Tosi, I. Agha, S. Assefa, F. Xia, W. M. Green, S. Mookherjea, and K. Srinivasan, “Telecommunications-band heralded single photons from a silicon nanophotonic chip,” Appl. Phys. Lett.100, 261104 (2012).
[CrossRef]

Delalande, C.

C. Diederichs, J. Tignon, G. Dasbach, C. Ciuti, A. Lemaitre, J. Bloch, P. Roussignol, and C. Delalande, “Parametric oscillation in vertical triple microcavities,” Nature440, 904–907 (2006).
[CrossRef] [PubMed]

Dell’Haye, P.

P. Dell’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature450, 1214–1217 (2007).
[CrossRef]

Diederichs, C.

C. Diederichs, J. Tignon, G. Dasbach, C. Ciuti, A. Lemaitre, J. Bloch, P. Roussignol, and C. Delalande, “Parametric oscillation in vertical triple microcavities,” Nature440, 904–907 (2006).
[CrossRef] [PubMed]

Dimitropoulos, D.

D. Dimitropoulos, R. Jhaveri, R. Claps, J. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett.86, 071115 (2005).
[CrossRef]

Dorenbos, S. N.

Duchesne, D.

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. Chu, B. Little, and D. Moss, “Cmos-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics4, 41–45 (2009).
[CrossRef]

Engin, E.

Ezaki, M.

Fan, S.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett.93, 233903 (2004).
[CrossRef] [PubMed]

Fang, A.

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave raman silicon laser,” Nature433, 725–728 (2005).
[CrossRef] [PubMed]

Fauchet, P.

Q. Lin, J. Zhang, G. Piredda, R. Boyd, P. Fauchet, and G. Agrawal, “Dispersion of silicon nonlinearities in the near infrared region,” Appl. Phys. Lett.91, 021111 (2007).
[CrossRef]

Ferrera, M.

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M. A. Popović, T. Barwicz, F. Gan, M. S. Dahlem, C. W. Holzwarth, P. T. Rakich, H. I. Smith, E. P. Ippen, and F. X. Kärtner, “Transparent wavelength switching of resonant filters,” in “Conference on Lasers and Electro-Optics,” (Optical Society of America, 2007).

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D. A. Fishman, C. M. Cirloganu, S. Webster, L. A. Padilha, M. Monroe, D. J. Hagan, and E. W. Van Stryland, “Sensitive mid-infrared detection in wide-bandgap semiconductors using extreme non-degenerate two-photon absorption,” Nat. Photonics5, 561–565 (2011).
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B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol.15, 998–1005 (1997).
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M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

M. S. Dahlem, C. W. Holzwarth, H. I. Smith, E. P. Ippen, and M. A. Popović, “Dynamical slow light cell based on controlled far-field interference of microring resonators,” in “Integrated Photonics Research, Silicon and Nanophotonics,” (OSA, 2010).

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P. Dell’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature450, 1214–1217 (2007).
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M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
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M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
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M. A. Popović, T. Barwicz, F. Gan, M. S. Dahlem, C. W. Holzwarth, P. T. Rakich, H. I. Smith, E. P. Ippen, and F. X. Kärtner, “Transparent wavelength switching of resonant filters,” in “Conference on Lasers and Electro-Optics,” (Optical Society of America, 2007).

M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

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M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast, wide-fsr microring-resonator filter design and realization with frequency-shift compensation,” in “Optical Fiber Communication Conference,” (Optical Society of America, 2005).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast and wide-FSR microring-resonator filter design and realization with frequency-shift compensation,” in “Technical Digest of the Optical Fiber Communication Conference,” (Anaheim, CA, 2005). Paper OFK1.

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H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant kerr cavities,” Phys. Rev. A79, 013812 (2009).
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H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant kerr cavities,” Phys. Rev. A79, 013812 (2009).
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A. Rodriguez, M. Soljačić, J. D. Joannopoulos, and S. G. Johnson, “χ(2) and χ(3) harmonic generation at a critical power in inhomogeneous doublyresonant cavities,” Opt. Express15, 7303–7318 (2007).
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M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
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M. A. Popović, T. Barwicz, F. Gan, M. S. Dahlem, C. W. Holzwarth, P. T. Rakich, H. I. Smith, E. P. Ippen, and F. X. Kärtner, “Transparent wavelength switching of resonant filters,” in “Conference on Lasers and Electro-Optics,” (Optical Society of America, 2007).

M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast, wide-fsr microring-resonator filter design and realization with frequency-shift compensation,” in “Optical Fiber Communication Conference,” (Optical Society of America, 2005).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast and wide-FSR microring-resonator filter design and realization with frequency-shift compensation,” in “Technical Digest of the Optical Fiber Communication Conference,” (Anaheim, CA, 2005). Paper OFK1.

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P. Dell’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature450, 1214–1217 (2007).
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B. E. Little, S. T. Chu, H. A. Haus, J. Foresi, and J.-P. Laine, “Microring resonator channel dropping filters,” J. Lightwave Technol.15, 998–1005 (1997).
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H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave raman silicon laser,” Nature433, 725–728 (2005).
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M. Davanço, J. R. Ong, A. B. Shehata, A. Tosi, I. Agha, S. Assefa, F. Xia, W. M. Green, S. Mookherjea, and K. Srinivasan, “Telecommunications-band heralded single photons from a silicon nanophotonic chip,” Appl. Phys. Lett.100, 261104 (2012).
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L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. Chu, B. Little, and D. Moss, “Cmos-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics4, 41–45 (2009).
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L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. Chu, B. Little, and D. Moss, “Cmos-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics4, 41–45 (2009).
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M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
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M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, F. Gan, M. S. Dahlem, C. W. Holzwarth, P. T. Rakich, H. I. Smith, E. P. Ippen, and F. X. Kärtner, “Transparent wavelength switching of resonant filters,” in “Conference on Lasers and Electro-Optics,” (Optical Society of America, 2007).

M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

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M. S. Dahlem, C. W. Holzwarth, H. I. Smith, E. P. Ippen, and M. A. Popović, “Dynamical slow light cell based on controlled far-field interference of microring resonators,” in “Integrated Photonics Research, Silicon and Nanophotonics,” (OSA, 2010).

M. A. Popović, “Resonant optical modulators beyond conventional energy-efficiency and modulation frequency limitations,” in “Integrated Photonics Research, Silicon and Nanophotonics,” (OSA, 2010).

C. Gentry and M. A. Popović, “Dark state lasers,” in “CLEO: Science and Innovations,” (Optical Society of America, 2013), pp. CM3F–1.

X. Zeng and M. A. Popović, “Optimum micro-optical parametric oscillators based on third-order nonlinearity,” in “CLEO: Science and Innovations,” (Optical Society of America, 2013), p. CTh1F7.

M. A. Popović, “Sharply-defined optical filters and dispersionless delay lines based on loop-coupled resonators and,” in “Lasers and Electro-Optics, 2007. CLEO 2007. Conference on,” (IEEE, 2007), pp. 1–2.

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast and wide-FSR microring-resonator filter design and realization with frequency-shift compensation,” in “Technical Digest of the Optical Fiber Communication Conference,” (Anaheim, CA, 2005). Paper OFK1.

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast, wide-fsr microring-resonator filter design and realization with frequency-shift compensation,” in “Optical Fiber Communication Conference,” (Optical Society of America, 2005).

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Rakich, P. T.

M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

M. A. Popović, T. Barwicz, F. Gan, M. S. Dahlem, C. W. Holzwarth, P. T. Rakich, H. I. Smith, E. P. Ippen, and F. X. Kärtner, “Transparent wavelength switching of resonant filters,” in “Conference on Lasers and Electro-Optics,” (Optical Society of America, 2007).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast, wide-fsr microring-resonator filter design and realization with frequency-shift compensation,” in “Optical Fiber Communication Conference,” (Optical Society of America, 2005).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast and wide-FSR microring-resonator filter design and realization with frequency-shift compensation,” in “Technical Digest of the Optical Fiber Communication Conference,” (Anaheim, CA, 2005). Paper OFK1.

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D. M. Ramirez, A. W. Rodriguez, H. Hashemi, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Degenerate four-wave mixing in triply resonant kerr cavities,” Phys. Rev. A83, 033834 (2011).
[CrossRef]

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L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. Chu, B. Little, and D. Moss, “Cmos-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics4, 41–45 (2009).
[CrossRef]

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Rodriguez, A. W.

D. M. Ramirez, A. W. Rodriguez, H. Hashemi, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Degenerate four-wave mixing in triply resonant kerr cavities,” Phys. Rev. A83, 033834 (2011).
[CrossRef]

H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant kerr cavities,” Phys. Rev. A79, 013812 (2009).
[CrossRef]

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H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave raman silicon laser,” Nature433, 725–728 (2005).
[CrossRef] [PubMed]

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C. Diederichs, J. Tignon, G. Dasbach, C. Ciuti, A. Lemaitre, J. Bloch, P. Roussignol, and C. Delalande, “Parametric oscillation in vertical triple microcavities,” Nature440, 904–907 (2006).
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P. Dell’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature450, 1214–1217 (2007).
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M. Davanço, J. R. Ong, A. B. Shehata, A. Tosi, I. Agha, S. Assefa, F. Xia, W. M. Green, S. Mookherjea, and K. Srinivasan, “Telecommunications-band heralded single photons from a silicon nanophotonic chip,” Appl. Phys. Lett.100, 261104 (2012).
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Smith, H. I.

M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, F. Gan, M. S. Dahlem, C. W. Holzwarth, P. T. Rakich, H. I. Smith, E. P. Ippen, and F. X. Kärtner, “Transparent wavelength switching of resonant filters,” in “Conference on Lasers and Electro-Optics,” (Optical Society of America, 2007).

M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

M. S. Dahlem, C. W. Holzwarth, H. I. Smith, E. P. Ippen, and M. A. Popović, “Dynamical slow light cell based on controlled far-field interference of microring resonators,” in “Integrated Photonics Research, Silicon and Nanophotonics,” (OSA, 2010).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast, wide-fsr microring-resonator filter design and realization with frequency-shift compensation,” in “Optical Fiber Communication Conference,” (Optical Society of America, 2005).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast and wide-FSR microring-resonator filter design and realization with frequency-shift compensation,” in “Technical Digest of the Optical Fiber Communication Conference,” (Anaheim, CA, 2005). Paper OFK1.

Socci, L.

M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast and wide-FSR microring-resonator filter design and realization with frequency-shift compensation,” in “Technical Digest of the Optical Fiber Communication Conference,” (Anaheim, CA, 2005). Paper OFK1.

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast, wide-fsr microring-resonator filter design and realization with frequency-shift compensation,” in “Optical Fiber Communication Conference,” (Optical Society of America, 2005).

Soljacic, M.

D. M. Ramirez, A. W. Rodriguez, H. Hashemi, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Degenerate four-wave mixing in triply resonant kerr cavities,” Phys. Rev. A83, 033834 (2011).
[CrossRef]

H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant kerr cavities,” Phys. Rev. A79, 013812 (2009).
[CrossRef]

A. Rodriguez, M. Soljačić, J. D. Joannopoulos, and S. G. Johnson, “χ(2) and χ(3) harmonic generation at a critical power in inhomogeneous doublyresonant cavities,” Opt. Express15, 7303–7318 (2007).
[CrossRef] [PubMed]

Sorel, M.

Spillane, S.

T. Kippenberg, S. Spillane, and K. Vahala, “Kerr-nonlinearity optical parametric oscillation in an ultrahigh-q toroid microcavity,” Phys. Rev. Lett.93, 83904 (2004).
[CrossRef]

Srinivasan, K.

M. Davanço, J. R. Ong, A. B. Shehata, A. Tosi, I. Agha, S. Assefa, F. Xia, W. M. Green, S. Mookherjea, and K. Srinivasan, “Telecommunications-band heralded single photons from a silicon nanophotonic chip,” Appl. Phys. Lett.100, 261104 (2012).
[CrossRef]

Strain, M. J.

Suh, W.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett.93, 233903 (2004).
[CrossRef] [PubMed]

Suzuki, N.

Sze, S. M.

S. M. Sze and K. K. Ng, Physics of Semiconductor Devices (Wiley, 2006).

Tanner, M.

Thompson, M. G.

Tignon, J.

C. Diederichs, J. Tignon, G. Dasbach, C. Ciuti, A. Lemaitre, J. Bloch, P. Roussignol, and C. Delalande, “Parametric oscillation in vertical triple microcavities,” Nature440, 904–907 (2006).
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Tosi, A.

M. Davanço, J. R. Ong, A. B. Shehata, A. Tosi, I. Agha, S. Assefa, F. Xia, W. M. Green, S. Mookherjea, and K. Srinivasan, “Telecommunications-band heralded single photons from a silicon nanophotonic chip,” Appl. Phys. Lett.100, 261104 (2012).
[CrossRef]

Turner, A. C.

Turner-Foster, A. C.

A. C. Turner-Foster, M. A. Foster, J. S. Levy, C. B. Poitras, R. Salem, A. L. Gaeta, and M. Lipson, “Ultrashort free-carrier lifetime in low-loss silicon nanowaveguides,” Opt. Express18, 3582–3591 (2010).
[CrossRef] [PubMed]

J. S. Levy, A. Gondarenko, M. A. Foster, A. C. Turner-Foster, A. L. Gaeta, and M. Lipson, “Cmos-compatible multiple-wavelength oscillator for on-chip optical interconnects,” Nat. Photonics4, 37–40 (2009).
[CrossRef]

Vahala, K.

T. Kippenberg, S. Spillane, and K. Vahala, “Kerr-nonlinearity optical parametric oscillation in an ultrahigh-q toroid microcavity,” Phys. Rev. Lett.93, 83904 (2004).
[CrossRef]

Van Stryland, E. W.

D. A. Fishman, C. M. Cirloganu, S. Webster, L. A. Padilha, M. Monroe, D. J. Hagan, and E. W. Van Stryland, “Sensitive mid-infrared detection in wide-bandgap semiconductors using extreme non-degenerate two-photon absorption,” Nat. Photonics5, 561–565 (2011).
[CrossRef]

Wang, Z.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett.93, 233903 (2004).
[CrossRef] [PubMed]

Watts, M. R.

M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, M. R. Watts, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “Multistage high-order microring-resonator add-drop filters,” Opt. Lett.31, 2571–2573 (2006).
[CrossRef]

M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast and wide-FSR microring-resonator filter design and realization with frequency-shift compensation,” in “Technical Digest of the Optical Fiber Communication Conference,” (Anaheim, CA, 2005). Paper OFK1.

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast, wide-fsr microring-resonator filter design and realization with frequency-shift compensation,” in “Optical Fiber Communication Conference,” (Optical Society of America, 2005).

Webster, S.

D. A. Fishman, C. M. Cirloganu, S. Webster, L. A. Padilha, M. Monroe, D. J. Hagan, and E. W. Van Stryland, “Sensitive mid-infrared detection in wide-bandgap semiconductors using extreme non-degenerate two-photon absorption,” Nat. Photonics5, 561–565 (2011).
[CrossRef]

Wilken, T.

P. Dell’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature450, 1214–1217 (2007).
[CrossRef]

Woo, J.

D. Dimitropoulos, R. Jhaveri, R. Claps, J. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett.86, 071115 (2005).
[CrossRef]

Xia, F.

M. Davanço, J. R. Ong, A. B. Shehata, A. Tosi, I. Agha, S. Assefa, F. Xia, W. M. Green, S. Mookherjea, and K. Srinivasan, “Telecommunications-band heralded single photons from a silicon nanophotonic chip,” Appl. Phys. Lett.100, 261104 (2012).
[CrossRef]

Yanik, M. F.

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett.93, 233903 (2004).
[CrossRef] [PubMed]

Yoshida, H.

Zeng, X.

X. Zeng and M. A. Popović, “Optimum micro-optical parametric oscillators based on third-order nonlinearity,” in “CLEO: Science and Innovations,” (Optical Society of America, 2013), p. CTh1F7.

Zhang, J.

Q. Lin, J. Zhang, G. Piredda, R. Boyd, P. Fauchet, and G. Agrawal, “Dispersion of silicon nonlinearities in the near infrared region,” Appl. Phys. Lett.91, 021111 (2007).
[CrossRef]

Zwiller, V.

Appl. Phys. Lett.

M. Davanço, J. R. Ong, A. B. Shehata, A. Tosi, I. Agha, S. Assefa, F. Xia, W. M. Green, S. Mookherjea, and K. Srinivasan, “Telecommunications-band heralded single photons from a silicon nanophotonic chip,” Appl. Phys. Lett.100, 261104 (2012).
[CrossRef]

D. Dimitropoulos, R. Jhaveri, R. Claps, J. Woo, and B. Jalali, “Lifetime of photogenerated carriers in silicon-on-insulator rib waveguides,” Appl. Phys. Lett.86, 071115 (2005).
[CrossRef]

Q. Lin, J. Zhang, G. Piredda, R. Boyd, P. Fauchet, and G. Agrawal, “Dispersion of silicon nonlinearities in the near infrared region,” Appl. Phys. Lett.91, 021111 (2007).
[CrossRef]

J. Lightwave Technol.

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

Nat. Photonics

D. A. Fishman, C. M. Cirloganu, S. Webster, L. A. Padilha, M. Monroe, D. J. Hagan, and E. W. Van Stryland, “Sensitive mid-infrared detection in wide-bandgap semiconductors using extreme non-degenerate two-photon absorption,” Nat. Photonics5, 561–565 (2011).
[CrossRef]

L. Razzari, D. Duchesne, M. Ferrera, R. Morandotti, S. Chu, B. Little, and D. Moss, “Cmos-compatible integrated optical hyper-parametric oscillator,” Nat. Photonics4, 41–45 (2009).
[CrossRef]

J. S. Levy, A. Gondarenko, M. A. Foster, A. C. Turner-Foster, A. L. Gaeta, and M. Lipson, “Cmos-compatible multiple-wavelength oscillator for on-chip optical interconnects,” Nat. Photonics4, 37–40 (2009).
[CrossRef]

Nature

C. Diederichs, J. Tignon, G. Dasbach, C. Ciuti, A. Lemaitre, J. Bloch, P. Roussignol, and C. Delalande, “Parametric oscillation in vertical triple microcavities,” Nature440, 904–907 (2006).
[CrossRef] [PubMed]

H. Rong, R. Jones, A. Liu, O. Cohen, D. Hak, A. Fang, and M. Paniccia, “A continuous-wave raman silicon laser,” Nature433, 725–728 (2005).
[CrossRef] [PubMed]

P. Dell’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature450, 1214–1217 (2007).
[CrossRef]

Opt. Express

A. Rodriguez, M. Soljačić, J. D. Joannopoulos, and S. G. Johnson, “χ(2) and χ(3) harmonic generation at a critical power in inhomogeneous doublyresonant cavities,” Opt. Express15, 7303–7318 (2007).
[CrossRef] [PubMed]

Q. Lin, O. J. Painter, and G. P. Agrawal, “Nonlinear optical phenomena in silicon waveguides: modeling and applications,” Opt. Express15, 16604–16644 (2007).
[CrossRef] [PubMed]

A. C. Turner, M. A. Foster, A. L. Gaeta, and M. Lipson, “Ultra-low power parametric frequency conversion in a silicon microring resonator,” Opt. Express16, 4881–4887 (2008).
[CrossRef] [PubMed]

A. C. Turner, M. A. Foster, A. L. Gaeta, and M. Lipson, “Ultra-low power parametric frequency conversion in a silicon microring resonator,” Opt. Express16, 4881–4887 (2008).
[CrossRef] [PubMed]

W. D. Sacher and J. K. S. Poon, “Dynamics of microring resonator modulators,” Opt. Express16, 15741–15753 (2008).
[CrossRef] [PubMed]

A. C. Turner-Foster, M. A. Foster, J. S. Levy, C. B. Poitras, R. Salem, A. L. Gaeta, and M. Lipson, “Ultrashort free-carrier lifetime in low-loss silicon nanowaveguides,” Opt. Express18, 3582–3591 (2010).
[CrossRef] [PubMed]

M. A. Foster, J. S. Levy, O. Kuzucu, K. Saha, M. Lipson, and A. L. Gaeta, “Silicon-based monolithic optical frequency comb source,” Opt. Express19, 14233–14239 (2011).
[CrossRef] [PubMed]

B. Kuyken, H. Ji, S. Clemmen, S. Selvaraja, H. Hu, M. Pu, M. Galili, P. Jeppesen, G. Morthier, S. Massar, L. K. Oxenløwe, G. Roelkens, and R. Baets, “Nonlinear properties of and nonlinear processing in hydrogenated amorphous silicon waveguides,” Opt. Express19, B146–B153 (2011).
[CrossRef]

A. R. Motamedi, A. H. Nejadmalayeri, A. Khilo, F. X. Kärtner, and E. P. Ippen, “Ultrafast nonlinear optical studies of silicon nanowaveguides,” Opt. Express20, 4085–4101 (2012).
[CrossRef] [PubMed]

S. Azzini, D. Grassani, M. J. Strain, M. Sorel, L. Helt, J. Sipe, M. Liscidini, M. Galli, and D. Bajoni, “Ultra-low power generation of twin photons in a compact silicon ring resonator,” Opt. Express20, 23100–23107 (2012).
[CrossRef] [PubMed]

E. Engin, D. Bonneau, C. M. Natarajan, A. S. Clark, M. Tanner, R. Hadfield, S. N. Dorenbos, V. Zwiller, K. Ohira, N. Suzuki, H. Yoshida, N. Iizuka, M. Ezaki, J. L. O’Brien, and M. G. Thompson, “Photon pair generation in a silicon micro-ring resonator with reverse bias enhancement,” Opt. Express21, 27826–27834 (2013).
[CrossRef]

Opt. Lett.

Phys. Rev. A

D. M. Ramirez, A. W. Rodriguez, H. Hashemi, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Degenerate four-wave mixing in triply resonant kerr cavities,” Phys. Rev. A83, 033834 (2011).
[CrossRef]

H. Hashemi, A. W. Rodriguez, J. D. Joannopoulos, M. Soljačić, and S. G. Johnson, “Nonlinear harmonic generation and devices in doubly resonant kerr cavities,” Phys. Rev. A79, 013812 (2009).
[CrossRef]

Phys. Rev. Lett.

T. Kippenberg, S. Spillane, and K. Vahala, “Kerr-nonlinearity optical parametric oscillation in an ultrahigh-q toroid microcavity,” Phys. Rev. Lett.93, 83904 (2004).
[CrossRef]

M. F. Yanik, W. Suh, Z. Wang, and S. Fan, “Stopping light in a waveguide with an all-optical analog of electromagnetically induced transparency,” Phys. Rev. Lett.93, 233903 (2004).
[CrossRef] [PubMed]

Other

M. S. Dahlem, C. W. Holzwarth, H. I. Smith, E. P. Ippen, and M. A. Popović, “Dynamical slow light cell based on controlled far-field interference of microring resonators,” in “Integrated Photonics Research, Silicon and Nanophotonics,” (OSA, 2010).

M. A. Popović, “Resonant optical modulators beyond conventional energy-efficiency and modulation frequency limitations,” in “Integrated Photonics Research, Silicon and Nanophotonics,” (OSA, 2010).

X. Zeng and M. A. Popović, “Optimum micro-optical parametric oscillators based on third-order nonlinearity,” in “CLEO: Science and Innovations,” (Optical Society of America, 2013), p. CTh1F7.

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

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast and wide-FSR microring-resonator filter design and realization with frequency-shift compensation,” in “Technical Digest of the Optical Fiber Communication Conference,” (Anaheim, CA, 2005). Paper OFK1.

M. A. Popović, “Sharply-defined optical filters and dispersionless delay lines based on loop-coupled resonators and,” in “Lasers and Electro-Optics, 2007. CLEO 2007. Conference on,” (IEEE, 2007), pp. 1–2.

M. A. Popović, T. Barwicz, P. T. Rakich, M. S. Dahlem, C. W. Holzwarth, F. Gan, L. Socci, M. R. Watts, H. I. Smith, F. X. Kärtner, and E. P. Ippen, “Experimental demonstration of loop-coupled microring resonators for optimally sharp optical filters,” in “Conference on Lasers and Electro-Optics,” (OSA, 2008).

A. H. Atabaki and A. Adibi, “Ultra-compact coupled-resonator device for four-wave-mixing applications,” in “CLEO: Science and Innovations,” (Optical Society of America, 2011), p. CTuS6.

R. W. Boyd, Nonlinear optics, 3rd ed. (Academic Press, 2008).

M. Dašić and M. A. Popović, “Minimum drop-loss design of microphotonic microring-resonator channel add-drop filters,” in “Telecommunications Forum (TELFOR), 2012 20th,” (IEEE, 2012), pp. 927–930.

Wolfram Research Inc., “Mathematica,” Version 9.0, Champaign, IL (2012).

M. A. Popović, T. Barwicz, F. Gan, M. S. Dahlem, C. W. Holzwarth, P. T. Rakich, H. I. Smith, E. P. Ippen, and F. X. Kärtner, “Transparent wavelength switching of resonant filters,” in “Conference on Lasers and Electro-Optics,” (Optical Society of America, 2007).

M. A. Popović, M. R. Watts, T. Barwicz, P. T. Rakich, L. Socci, E. P. Ippen, F. X. Kärtner, and H. I. Smith, “High-index-contrast, wide-fsr microring-resonator filter design and realization with frequency-shift compensation,” in “Optical Fiber Communication Conference,” (Optical Society of America, 2005).

C. Gentry and M. A. Popović, “Dark state lasers,” in “CLEO: Science and Innovations,” (Optical Society of America, 2013), pp. CM3F–1.

S. M. Sze and K. K. Ng, Physics of Semiconductor Devices (Wiley, 2006).

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