Abstract

A broadband microwave photonic phase shifter based on a single III-V microdisk resonator heterogeneously integrated on and coupled to a nanophotonic silicon-on-insulator waveguide is reported. The phase shift tunability is accomplished by modifying the effective index through carrier injection. A comprehensive semi-analytical model aiming at predicting its behavior is formulated and confirmed by measurements. Quasi-linear and continuously tunable 2π phase shifts at radiofrequencies greater than 18 GHz are experimentally demonstrated. The phase shifter performance is also evaluated when used as a key element in tunable filtering schemes. Distortion-free and wideband filtering responses with a tuning range of ~100% over the free spectral range are obtained.

© 2012 OSA

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2011 (4)

2010 (7)

M. Pu, L. Liu, W. Xue, Y. Ding, H. Ou, K. Yvind, J. M. Hvam, and J. M. Hvam, “Widely tunable microwave phase shifter based on silicon-on-insulator dual-microring resonator,” Opt. Express 18(6), 6172–6182 (2010).
[CrossRef] [PubMed]

J. Cardenas, M. A. Foster, N. Sherwood-Droz, C. B. Poitras, H. L. R. Lira, B. Zhang, A. L. Gaeta, J. B. Khurgin, P. Morton, and M. Lipson, “Wide-bandwidth continuously tunable optical delay line using silicon microring resonators,” Opt. Express 18(25), 26525–26534 (2010).
[CrossRef] [PubMed]

R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
[CrossRef]

L. Liu, T. Spuesens, G. Roelkens, D. Van Thourhout, P. Regreny, and P. Rojo-Romeo, “A thermally tunable III-V compound semiconductor microdisk laser integrated on silicon-on-insulator circuits,” IEEE Photon. Technol. Lett. 22(17), 1270–1272 (2010).
[CrossRef]

M. Pu, L. Liu, W. Xue, Y. Ding, L. Hagedorn-Fradsen, H. Ou, K. Yvind, and J. M. Hvam, “Tunable microwave phase shifter based on silicon-on-insulator microring resonator,” IEEE Photon. Technol. Lett. 22(12), 869–871 (2010).
[CrossRef]

areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
[CrossRef]

2009 (1)

P. A. Morton and J. B. Khurgin, “Microwave photonic delay line with separate tuning of the optical carrier,” IEEE Photon. Technol. Lett. 21(22), 869–871 (2009).
[CrossRef]

2008 (7)

T. F. Krauss, “Why do we need slow light?” Nat. Photonics 2(8), 448–450 (2008).
[CrossRef]

J. Van Campenhout, L. Liu, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “A compact SOI-integrated multiwavelength laser source based on cascaded InP microdisks,” IEEE Photon. Technol. Lett. 20(16), 1345–1347 (2008).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
[CrossRef]

M. Sagues, R. García Olcina, A. Loayssa, S. Sales, and J. Capmany, “Multi-tap complex-coefficient incoherent microwave photonic filters based on optical single-sideband modulation and narrow band optical filtering,” Opt. Express 16(1), 295–303 (2008).
[CrossRef] [PubMed]

J. Van Campenhout, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “Design and optimization of electrically injected InP-based microdisk lasers integrated on and coupled to a SOI waveguide circuit,” J. Lightwave Technol. 26(1), 52–63 (2008).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, R. A. Soref, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fédéli, and R. Baets, “Carrier-injection-based electro-optic modulator on silicon-on-insulator with a heterogeneously integrated III-V microdisk cavity,” Opt. Lett. 33(21), 2518–2520 (2008).
[CrossRef] [PubMed]

Y. Chen, W. Xue, F. Öhman, and J. Mork, “Theory of optical-filtering enhanced slow and fast light effects in semiconductor optical waveguides,” J. Lightwave Technol. 26(23), 3734–3743 (2008).
[CrossRef]

2007 (4)

2006 (4)

2005 (2)

2003 (1)

R. L. Espinola, M. C. Tsai, J. T. Yardley, and R. M. Osgood, “Fast and low-power thermooptic switch on thin silicon-on-insulator,” IEEE Photon. Technol. Lett. 15(10), 1366–1368 (2003).
[CrossRef]

2002 (2)

R. W. Boyd and D. J. Gauthier, “Slow and fast light,” Prog. Opt. 43, 497–530 (2002).
[CrossRef]

A. Seeds, “Microwave photonics,” IEEE Trans. Microw. Theory Tech. 50(3), 877–887 (2002).
[CrossRef]

Baets, R.

R. Kumar, T. Spuesens, P. Mechet, P. Kumar, O. Raz, N. Olivier, J.-M. Fedeli, G. Roelkens, R. Baets, D. Van Thourhout, and G. Morthier, “Ultrafast and bias-free all-optical wavelength conversion using III-V-on-silicon technology,” Opt. Lett. 36(13), 2450–2452 (2011).
[CrossRef] [PubMed]

R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
[CrossRef]

J. Van Campenhout, L. Liu, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “A compact SOI-integrated multiwavelength laser source based on cascaded InP microdisks,” IEEE Photon. Technol. Lett. 20(16), 1345–1347 (2008).
[CrossRef]

J. Van Campenhout, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “Design and optimization of electrically injected InP-based microdisk lasers integrated on and coupled to a SOI waveguide circuit,” J. Lightwave Technol. 26(1), 52–63 (2008).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, R. A. Soref, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fédéli, and R. Baets, “Carrier-injection-based electro-optic modulator on silicon-on-insulator with a heterogeneously integrated III-V microdisk cavity,” Opt. Lett. 33(21), 2518–2520 (2008).
[CrossRef] [PubMed]

J. Van Campenhout, P. Rojo Romeo, P. Regreny, C. Seassal, D. Van Thourhout, S. Verstuyft, L. Di Cioccio, J.-M. Fedeli, C. Lagahe, and R. Baets, “Electrically pumped InP-based microdisk lasers integrated with a nanophotonic silicon-on-insulator waveguide circuit,” Opt. Express 15(11), 6744–6749 (2007).
[CrossRef] [PubMed]

G. Roelkens, D. Van Thourhout, R. Baets, R. Nötzel, and M. Smit, “Laser emission and photodetection in an InP/InGaAsP layer integrated on and coupled to a Silicon-on-Insulator waveguide circuit,” Opt. Express 14(18), 8154–8159 (2006).
[CrossRef] [PubMed]

W. Bogaerts, R. Baets, P. Dumon, V. Wiaux, S. Beckx, D. Taillaert, B. Luyssaert, J. Van Campenhout, P. Bienstman, and D. Van Thourhout, “Nanophotonic waveguides in silicon-on-insulator fabricated with CMOS technology,” J. Lightwave Technol. 23(1), 401–412 (2005).
[CrossRef]

Beckx, S.

Bienstman, P.

Bogaerts, W.

Bowers, J. E.

Boyd, R. W.

R. W. Boyd and D. J. Gauthier, “Slow and fast light,” Prog. Opt. 43, 497–530 (2002).
[CrossRef]

Burla, M.

Capmany, J.

Cardenas, J.

Chen, Y.

Cohen, O.

de Vries, T.

areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
[CrossRef]

R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

Di Cioccio, L.

Ding, Y.

M. Pu, L. Liu, W. Xue, Y. Ding, L. Hagedorn-Fradsen, H. Ou, K. Yvind, and J. M. Hvam, “Tunable microwave phase shifter based on silicon-on-insulator microring resonator,” IEEE Photon. Technol. Lett. 22(12), 869–871 (2010).
[CrossRef]

M. Pu, L. Liu, W. Xue, Y. Ding, H. Ou, K. Yvind, J. M. Hvam, and J. M. Hvam, “Widely tunable microwave phase shifter based on silicon-on-insulator dual-microring resonator,” Opt. Express 18(6), 6172–6182 (2010).
[CrossRef] [PubMed]

Doménech, J. D.

Dumon, P.

Espinola, R. L.

R. L. Espinola, M. C. Tsai, J. T. Yardley, and R. M. Osgood, “Fast and low-power thermooptic switch on thin silicon-on-insulator,” IEEE Photon. Technol. Lett. 15(10), 1366–1368 (2003).
[CrossRef]

Fang, A. W.

Fedeli, J.-M.

R. Kumar, T. Spuesens, P. Mechet, P. Kumar, O. Raz, N. Olivier, J.-M. Fedeli, G. Roelkens, R. Baets, D. Van Thourhout, and G. Morthier, “Ultrafast and bias-free all-optical wavelength conversion using III-V-on-silicon technology,” Opt. Lett. 36(13), 2450–2452 (2011).
[CrossRef] [PubMed]

J. Van Campenhout, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “Design and optimization of electrically injected InP-based microdisk lasers integrated on and coupled to a SOI waveguide circuit,” J. Lightwave Technol. 26(1), 52–63 (2008).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
[CrossRef]

J. Van Campenhout, L. Liu, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “A compact SOI-integrated multiwavelength laser source based on cascaded InP microdisks,” IEEE Photon. Technol. Lett. 20(16), 1345–1347 (2008).
[CrossRef]

J. Van Campenhout, P. Rojo Romeo, P. Regreny, C. Seassal, D. Van Thourhout, S. Verstuyft, L. Di Cioccio, J.-M. Fedeli, C. Lagahe, and R. Baets, “Electrically pumped InP-based microdisk lasers integrated with a nanophotonic silicon-on-insulator waveguide circuit,” Opt. Express 15(11), 6744–6749 (2007).
[CrossRef] [PubMed]

Fédéli, J.-M.

Foster, M. A.

Gaeta, A. L.

García Olcina, R.

Gasulla, I.

Gauthier, D. J.

R. W. Boyd and D. J. Gauthier, “Slow and fast light,” Prog. Opt. 43, 497–530 (2002).
[CrossRef]

Geluk, E.-J.

areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
[CrossRef]

R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

Grenouillet, L.

D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
[CrossRef]

Hagedorn-Fradsen, L.

M. Pu, L. Liu, W. Xue, Y. Ding, L. Hagedorn-Fradsen, H. Ou, K. Yvind, and J. M. Hvam, “Tunable microwave phase shifter based on silicon-on-insulator microring resonator,” IEEE Photon. Technol. Lett. 22(12), 869–871 (2010).
[CrossRef]

Heideman, R.

Hoekman, M.

Huybrechts, K.

areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
[CrossRef]

Hvam, J. M.

Jones, R.

Karouta, F.

R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

Khan, M. R.

Khurgin, J. B.

Kopp, C.

D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
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areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
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D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
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R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
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R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

L. Liu, T. Spuesens, G. Roelkens, D. Van Thourhout, P. Regreny, and P. Rojo-Romeo, “A thermally tunable III-V compound semiconductor microdisk laser integrated on silicon-on-insulator circuits,” IEEE Photon. Technol. Lett. 22(17), 1270–1272 (2010).
[CrossRef]

D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
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areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
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M. Pu, L. Liu, W. Xue, Y. Ding, L. Hagedorn-Fradsen, H. Ou, K. Yvind, and J. M. Hvam, “Tunable microwave phase shifter based on silicon-on-insulator microring resonator,” IEEE Photon. Technol. Lett. 22(12), 869–871 (2010).
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L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
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J. Van Campenhout, L. Liu, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “A compact SOI-integrated multiwavelength laser source based on cascaded InP microdisks,” IEEE Photon. Technol. Lett. 20(16), 1345–1347 (2008).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, R. A. Soref, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fédéli, and R. Baets, “Carrier-injection-based electro-optic modulator on silicon-on-insulator with a heterogeneously integrated III-V microdisk cavity,” Opt. Lett. 33(21), 2518–2520 (2008).
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D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
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R. Kumar, T. Spuesens, P. Mechet, P. Kumar, O. Raz, N. Olivier, J.-M. Fedeli, G. Roelkens, R. Baets, D. Van Thourhout, and G. Morthier, “Ultrafast and bias-free all-optical wavelength conversion using III-V-on-silicon technology,” Opt. Lett. 36(13), 2450–2452 (2011).
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D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
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R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
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M. Pu, L. Liu, W. Xue, Y. Ding, L. Hagedorn-Fradsen, H. Ou, K. Yvind, and J. M. Hvam, “Tunable microwave phase shifter based on silicon-on-insulator microring resonator,” IEEE Photon. Technol. Lett. 22(12), 869–871 (2010).
[CrossRef]

M. Pu, L. Liu, W. Xue, Y. Ding, H. Ou, K. Yvind, J. M. Hvam, and J. M. Hvam, “Widely tunable microwave phase shifter based on silicon-on-insulator dual-microring resonator,” Opt. Express 18(6), 6172–6182 (2010).
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[CrossRef] [PubMed]

D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
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areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
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R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
[CrossRef]

L. Liu, T. Spuesens, G. Roelkens, D. Van Thourhout, P. Regreny, and P. Rojo-Romeo, “A thermally tunable III-V compound semiconductor microdisk laser integrated on silicon-on-insulator circuits,” IEEE Photon. Technol. Lett. 22(17), 1270–1272 (2010).
[CrossRef]

J. Van Campenhout, L. Liu, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “A compact SOI-integrated multiwavelength laser source based on cascaded InP microdisks,” IEEE Photon. Technol. Lett. 20(16), 1345–1347 (2008).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
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J. Van Campenhout, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “Design and optimization of electrically injected InP-based microdisk lasers integrated on and coupled to a SOI waveguide circuit,” J. Lightwave Technol. 26(1), 52–63 (2008).
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L. Liu, J. Van Campenhout, G. Roelkens, R. A. Soref, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fédéli, and R. Baets, “Carrier-injection-based electro-optic modulator on silicon-on-insulator with a heterogeneously integrated III-V microdisk cavity,” Opt. Lett. 33(21), 2518–2520 (2008).
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J. Van Campenhout, P. Rojo Romeo, P. Regreny, C. Seassal, D. Van Thourhout, S. Verstuyft, L. Di Cioccio, J.-M. Fedeli, C. Lagahe, and R. Baets, “Electrically pumped InP-based microdisk lasers integrated with a nanophotonic silicon-on-insulator waveguide circuit,” Opt. Express 15(11), 6744–6749 (2007).
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R. Kumar, T. Spuesens, P. Mechet, P. Kumar, O. Raz, N. Olivier, J.-M. Fedeli, G. Roelkens, R. Baets, D. Van Thourhout, and G. Morthier, “Ultrafast and bias-free all-optical wavelength conversion using III-V-on-silicon technology,” Opt. Lett. 36(13), 2450–2452 (2011).
[CrossRef] [PubMed]

areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
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D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
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L. Liu, T. Spuesens, G. Roelkens, D. Van Thourhout, P. Regreny, and P. Rojo-Romeo, “A thermally tunable III-V compound semiconductor microdisk laser integrated on silicon-on-insulator circuits,” IEEE Photon. Technol. Lett. 22(17), 1270–1272 (2010).
[CrossRef]

R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
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L. Liu, J. Van Campenhout, G. Roelkens, R. A. Soref, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fédéli, and R. Baets, “Carrier-injection-based electro-optic modulator on silicon-on-insulator with a heterogeneously integrated III-V microdisk cavity,” Opt. Lett. 33(21), 2518–2520 (2008).
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D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
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J. Van Campenhout, L. Liu, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “A compact SOI-integrated multiwavelength laser source based on cascaded InP microdisks,” IEEE Photon. Technol. Lett. 20(16), 1345–1347 (2008).
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L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
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J. Van Campenhout, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “Design and optimization of electrically injected InP-based microdisk lasers integrated on and coupled to a SOI waveguide circuit,” J. Lightwave Technol. 26(1), 52–63 (2008).
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L. Liu, J. Van Campenhout, G. Roelkens, R. A. Soref, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fédéli, and R. Baets, “Carrier-injection-based electro-optic modulator on silicon-on-insulator with a heterogeneously integrated III-V microdisk cavity,” Opt. Lett. 33(21), 2518–2520 (2008).
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J. Van Campenhout, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “Design and optimization of electrically injected InP-based microdisk lasers integrated on and coupled to a SOI waveguide circuit,” J. Lightwave Technol. 26(1), 52–63 (2008).
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L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
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J. Van Campenhout, L. Liu, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “A compact SOI-integrated multiwavelength laser source based on cascaded InP microdisks,” IEEE Photon. Technol. Lett. 20(16), 1345–1347 (2008).
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L. Liu, J. Van Campenhout, G. Roelkens, R. A. Soref, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fédéli, and R. Baets, “Carrier-injection-based electro-optic modulator on silicon-on-insulator with a heterogeneously integrated III-V microdisk cavity,” Opt. Lett. 33(21), 2518–2520 (2008).
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J. Van Campenhout, P. Rojo Romeo, P. Regreny, C. Seassal, D. Van Thourhout, S. Verstuyft, L. Di Cioccio, J.-M. Fedeli, C. Lagahe, and R. Baets, “Electrically pumped InP-based microdisk lasers integrated with a nanophotonic silicon-on-insulator waveguide circuit,” Opt. Express 15(11), 6744–6749 (2007).
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L. Liu, T. Spuesens, G. Roelkens, D. Van Thourhout, P. Regreny, and P. Rojo-Romeo, “A thermally tunable III-V compound semiconductor microdisk laser integrated on silicon-on-insulator circuits,” IEEE Photon. Technol. Lett. 22(17), 1270–1272 (2010).
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D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
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areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
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L. Liu, J. Van Campenhout, G. Roelkens, R. A. Soref, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fédéli, and R. Baets, “Carrier-injection-based electro-optic modulator on silicon-on-insulator with a heterogeneously integrated III-V microdisk cavity,” Opt. Lett. 33(21), 2518–2520 (2008).
[CrossRef] [PubMed]

J. Van Campenhout, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “Design and optimization of electrically injected InP-based microdisk lasers integrated on and coupled to a SOI waveguide circuit,” J. Lightwave Technol. 26(1), 52–63 (2008).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
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J. Van Campenhout, L. Liu, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “A compact SOI-integrated multiwavelength laser source based on cascaded InP microdisks,” IEEE Photon. Technol. Lett. 20(16), 1345–1347 (2008).
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J. Van Campenhout, P. Rojo Romeo, P. Regreny, C. Seassal, D. Van Thourhout, S. Verstuyft, L. Di Cioccio, J.-M. Fedeli, C. Lagahe, and R. Baets, “Electrically pumped InP-based microdisk lasers integrated with a nanophotonic silicon-on-insulator waveguide circuit,” Opt. Express 15(11), 6744–6749 (2007).
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L. Liu, T. Spuesens, G. Roelkens, D. Van Thourhout, P. Regreny, and P. Rojo-Romeo, “A thermally tunable III-V compound semiconductor microdisk laser integrated on silicon-on-insulator circuits,” IEEE Photon. Technol. Lett. 22(17), 1270–1272 (2010).
[CrossRef]

D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
[CrossRef]

R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
[CrossRef]

J. Van Campenhout, L. Liu, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “A compact SOI-integrated multiwavelength laser source based on cascaded InP microdisks,” IEEE Photon. Technol. Lett. 20(16), 1345–1347 (2008).
[CrossRef]

J. Van Campenhout, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “Design and optimization of electrically injected InP-based microdisk lasers integrated on and coupled to a SOI waveguide circuit,” J. Lightwave Technol. 26(1), 52–63 (2008).
[CrossRef]

L. Liu, J. Van Campenhout, G. Roelkens, R. A. Soref, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fédéli, and R. Baets, “Carrier-injection-based electro-optic modulator on silicon-on-insulator with a heterogeneously integrated III-V microdisk cavity,” Opt. Lett. 33(21), 2518–2520 (2008).
[CrossRef] [PubMed]

J. Van Campenhout, P. Rojo Romeo, P. Regreny, C. Seassal, D. Van Thourhout, S. Verstuyft, L. Di Cioccio, J.-M. Fedeli, C. Lagahe, and R. Baets, “Electrically pumped InP-based microdisk lasers integrated with a nanophotonic silicon-on-insulator waveguide circuit,” Opt. Express 15(11), 6744–6749 (2007).
[CrossRef] [PubMed]

G. Roelkens, D. Van Thourhout, R. Baets, R. Nötzel, and M. Smit, “Laser emission and photodetection in an InP/InGaAsP layer integrated on and coupled to a Silicon-on-Insulator waveguide circuit,” Opt. Express 14(18), 8154–8159 (2006).
[CrossRef] [PubMed]

W. Bogaerts, R. Baets, P. Dumon, V. Wiaux, S. Beckx, D. Taillaert, B. Luyssaert, J. Van Campenhout, P. Bienstman, and D. Van Thourhout, “Nanophotonic waveguides in silicon-on-insulator fabricated with CMOS technology,” J. Lightwave Technol. 23(1), 401–412 (2005).
[CrossRef]

Verstuyft, S.

Wiaux, V.

Xu, Q.

Xue, W.

Yardley, J. T.

R. L. Espinola, M. C. Tsai, J. T. Yardley, and R. M. Osgood, “Fast and low-power thermooptic switch on thin silicon-on-insulator,” IEEE Photon. Technol. Lett. 15(10), 1366–1368 (2003).
[CrossRef]

Yvind, K.

Zhang, B.

Zhuang, L.

Appl. Phys. Lett. (1)

L. Liu, J. Van Campenhout, G. Roelkens, D. Van Thourhout, P. Rojo-Romeo, P. Regreny, C. Seassal, J.-M. Fedeli, and R. Baets, “Ultralow-power all-optical wavelength conversion in a silicon-on-insulator waveguide based on a heterogeneously integrated III-V microdisk laser,” Appl. Phys. Lett. 93(6), 061107 (2008).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (2)

R. Soref, “The past, present and future of silicon photonics,” IEEE J. Sel. Top. Quantum Electron. 12(6), 1678–1687 (2006).
[CrossRef]

D. Van Thourhout, T. Spuesens, S. K. Selvaraja, L. Liu, G. Roelkens, R. Kumar, G. Morthier, P. Rojo-Romeo, F. Mandorlo, P. Regreny, O. Raz, C. Kopp, and L. Grenouillet, “Nanophotonic devices for optical interconnect,” IEEE J. Sel. Top. Quantum Electron. 16(5), 1363–1375 (2010).
[CrossRef]

IEEE Photon. Technol. Lett. (6)

L. Liu, T. Spuesens, G. Roelkens, D. Van Thourhout, P. Regreny, and P. Rojo-Romeo, “A thermally tunable III-V compound semiconductor microdisk laser integrated on silicon-on-insulator circuits,” IEEE Photon. Technol. Lett. 22(17), 1270–1272 (2010).
[CrossRef]

J. Van Campenhout, L. Liu, P. Rojo-Romeo, D. Van Thourhout, C. Seassal, P. Regreny, L. Di Cioccio, J.-M. Fedeli, and R. Baets, “A compact SOI-integrated multiwavelength laser source based on cascaded InP microdisks,” IEEE Photon. Technol. Lett. 20(16), 1345–1347 (2008).
[CrossRef]

R. Kumar, L. Liu, G. Roelkens, E.-J. Geluk, T. de Vries, F. Karouta, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “10-GHz all-optical gate based on a III-V/SOI microdisk,” IEEE Photon. Technol. Lett. 22(13), 981–983 (2010).
[CrossRef]

M. Pu, L. Liu, W. Xue, Y. Ding, L. Hagedorn-Fradsen, H. Ou, K. Yvind, and J. M. Hvam, “Tunable microwave phase shifter based on silicon-on-insulator microring resonator,” IEEE Photon. Technol. Lett. 22(12), 869–871 (2010).
[CrossRef]

P. A. Morton and J. B. Khurgin, “Microwave photonic delay line with separate tuning of the optical carrier,” IEEE Photon. Technol. Lett. 21(22), 869–871 (2009).
[CrossRef]

R. L. Espinola, M. C. Tsai, J. T. Yardley, and R. M. Osgood, “Fast and low-power thermooptic switch on thin silicon-on-insulator,” IEEE Photon. Technol. Lett. 15(10), 1366–1368 (2003).
[CrossRef]

IEEE Trans. Microw. Theory Tech. (1)

A. Seeds, “Microwave photonics,” IEEE Trans. Microw. Theory Tech. 50(3), 877–887 (2002).
[CrossRef]

J. Lightwave Technol. (5)

Nat. Photonics (3)

T. F. Krauss, “Why do we need slow light?” Nat. Photonics 2(8), 448–450 (2008).
[CrossRef]

areL. Liu, R. Kumar, K. Huybrechts, T. Spuesens, G. Roelkens, E.-J. Geluk, T. de Vries, P. Regreny, D. Van Thourhout, R. Baets, and G. Morthier, “An ultra-small, low-power, all-optical flip-flop memory on a silicon chip,” Nat. Photonics 4(3), 182–187 (2010).
[CrossRef]

J. Capmany and D. Novak, “Microwave photonics combines two worlds,” Nat. Photonics 1(6), 319–330 (2007).
[CrossRef]

Opt. Express (10)

G. Roelkens, D. Van Thourhout, R. Baets, R. Nötzel, and M. Smit, “Laser emission and photodetection in an InP/InGaAsP layer integrated on and coupled to a Silicon-on-Insulator waveguide circuit,” Opt. Express 14(18), 8154–8159 (2006).
[CrossRef] [PubMed]

A. W. Fang, H. Park, O. Cohen, R. Jones, M. J. Paniccia, and J. E. Bowers, “Electrically pumped hybrid AlGaInAs-silicon evanescent laser,” Opt. Express 14(20), 9203–9210 (2006).
[CrossRef] [PubMed]

Q. Xu, S. Manipatruni, B. Schmidt, J. Shakya, and M. Lipson, “12.5 Gbit/s carrier-injection-based silicon micro-ring silicon modulators,” Opt. Express 15(2), 430–436 (2007).
[CrossRef] [PubMed]

A. W. Fang, R. Jones, H. Park, O. Cohen, O. Raday, M. J. Paniccia, and J. E. Bowers, “Integrated AlGaInAs-silicon evanescent race track laser and photodetector,” Opt. Express 15(5), 2315–2322 (2007).
[CrossRef] [PubMed]

J. Van Campenhout, P. Rojo Romeo, P. Regreny, C. Seassal, D. Van Thourhout, S. Verstuyft, L. Di Cioccio, J.-M. Fedeli, C. Lagahe, and R. Baets, “Electrically pumped InP-based microdisk lasers integrated with a nanophotonic silicon-on-insulator waveguide circuit,” Opt. Express 15(11), 6744–6749 (2007).
[CrossRef] [PubMed]

M. Sagues, R. García Olcina, A. Loayssa, S. Sales, and J. Capmany, “Multi-tap complex-coefficient incoherent microwave photonic filters based on optical single-sideband modulation and narrow band optical filtering,” Opt. Express 16(1), 295–303 (2008).
[CrossRef] [PubMed]

M. Pu, L. Liu, W. Xue, Y. Ding, H. Ou, K. Yvind, J. M. Hvam, and J. M. Hvam, “Widely tunable microwave phase shifter based on silicon-on-insulator dual-microring resonator,” Opt. Express 18(6), 6172–6182 (2010).
[CrossRef] [PubMed]

J. Cardenas, M. A. Foster, N. Sherwood-Droz, C. B. Poitras, H. L. R. Lira, B. Zhang, A. L. Gaeta, J. B. Khurgin, P. Morton, and M. Lipson, “Wide-bandwidth continuously tunable optical delay line using silicon microring resonators,” Opt. Express 18(25), 26525–26534 (2010).
[CrossRef] [PubMed]

J. Lloret, J. Sancho, M. Pu, I. Gasulla, K. Yvind, S. Sales, and J. Capmany, “Tunable complex-valued multi-tap microwave photonic filter based on single silicon-on-insulator microring resonator,” Opt. Express 19(13), 12402–12407 (2011).
[CrossRef] [PubMed]

M. Burla, D. Marpaung, L. Zhuang, C. Roeloffzen, M. R. Khan, A. Leinse, M. Hoekman, and R. Heideman, “On-chip CMOS compatible reconfigurable optical delay line with separate carrier tuning for microwave photonic signal processing,” Opt. Express 19(22), 21475–21484 (2011).
[CrossRef] [PubMed]

Opt. Lett. (3)

Prog. Opt. (1)

R. W. Boyd and D. J. Gauthier, “Slow and fast light,” Prog. Opt. 43, 497–530 (2002).
[CrossRef]

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Figures (7)

Fig. 1
Fig. 1

(a) Schematic drawing of the heterogeneous InP MDR showing the SOI wire waveguide. (b) Principle of operation of the MDR-based MWP phase shifter when using OSSB at its input.

Fig. 2
Fig. 2

(a) Experimental setup for the MWP phase shifter. (b) Schematic drawing of the heterogeneous MDR structure.

Fig. 3
Fig. 3

(a) Measured transfer function with the injection current. In the inset, the spectral shift of the resonance when changing the injection current. (b) Zoomed image of the measured gain and phase transfer functions.

Fig. 4
Fig. 4

(a) Detail of the measured (solid lines) and calculated (dashed lines) transfer functions considering injection currents from 1.5 to 1.8 mA. (b) Measured (solid lines) and calculated (dashed lines) phase shifts and photodetected powers of the microwave signal as a function of the injection current for different frequencies. The thinner solid lines in the RF power plot correspond to the electrical power at the MDR input.

Fig. 5
Fig. 5

Experimental setup of the complex-valued two-tap MWP tunable filter.

Fig. 6
Fig. 6

Normalized frequency response of the MWP tunable filter for different injection currents.

Fig. 7
Fig. 7

(a) Experimental setup for measuring the parameter S21 of the III-V/SOI MDR. (b) Small-signal response S21 of the MDR.

Tables (1)

Tables Icon

Table 1 Main Parameters Used for Numerical Calculations

Equations (8)

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Ein(t,z)=(|E0(z)|ejθ0+|E1(z)|ej(Ωt+θ1)+|E+1(z)|ej(Ωtθ+1)) ej(ω0tk0z),
Eout=(T|H|ejφ1T|H|ejφ)Ein, with T=1k2,
E0z=γ0E0,E1z=γ0E1+ε1{ |E0|2E1+E02E+1*ejΔkz} ,E+1z=γ0E+1+ε+1{ |E0|2E+1+E02E1*ejΔkz} ,
E0(z=L)=E0(z=0) eF(L),E1*(z=L)=eF(L)*{12(v(0)+u(0)[jα(eG(L)1)+eG(L)])} ,E+1(z=L)=eF(L){12(v(0)+u(0)[jα(1eG(L))+eG(L)])} ,
u(0)=E+1(z=0) eF(L)+E1*(z=0) eF(L)*,v(0)=E+1(z=0) eF(L)E1*(z=0) eF(L)*.
H0= eF(L),H1*=12{1+E+1(z=0)E1*(z=0)eF(L)eF(L)*[jα(eG(L)1)+eG(L)1]+jα(eG(L)1)+eG(L)} ,H+1=12{1+E1*(z=0)E+1(z=0)eF(L)eF(L)*[jα(1eG(L))+eG(L)1]+jα(1eG(L))+eG(L)} .
iΩ(t)2{|Eout,0||Eout,1|cos(Ωt+(θout,0θout,1))+|Eout,0||Eout,+1|cos(Ωt+(θout,+1θout,0))},
PΩ=|iΩ|2Z0,Δφ=arg{iΩ}arg{iΩ}|ref,

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