Abstract
The nonlinearities in silicon are diverse. This Review covers the wealth of nonlinear effects in silicon and highlights the important applications and technological solutions in nonlinear silicon photonics.
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References
Espinola, R. L., Dadap, J. I., Osgood, R. M., McNab, S. J. & Vlasov, Y. A. C-band wavelength conversion in silicon photonic wire waveguides. Opt. Express 13, 4341–4349 (2005).
Kuo, Y., Rong, H., Sih, V., Xu, S. & Paniccia, M. Demonstration of wavelength conversion at 40 Gb/s data rate in silicon waveguides. Opt. Express 14, 11721–11726 (2006).
Koos, C. et al. All-optical high-speed signal processing with silicon–organic hybrid slot waveguides. Nature Photon. 3, 216–219 (2009).
Ji, H. et al. Optical waveform sampling and error-free demultiplexing of 1.28 Tbit/s serial data in a silicon nanowire. Optical Fiber Communication Conf. paper PDPC7 (2010).
Foster, M. A. et al. Silicon-chip-based ultrafast optical oscilloscope. Nature 456, 81–85 (2008).
Dell'Olio, F. & Passaro, V. M. Optical sensing by optimized silicon slot waveguides. Opt. Express 15, 4977–4993 (2007).
Robinson, J. T., Chen, L. & Lipson, M. On-chip gas detection in silicon optical microcavities. Opt. Express 16, 4296–4301 (2008).
Tang, C. K. & Reed, G. T. Highly efficient optical phase modulator in SOI waveguides. Electron. Lett. 31, 451–452 (1995).
Baehr-Jones, T. & Hochberg, M. Optical modulation and detection in slotted silicon waveguides. Opt. Express 13, 5216–5226 (2005).
Brosi, J.-M. et al. High-speed low-voltage electro-optic modulator with a polymer-infiltrated silicon photonic crystal waveguide. Opt. Express 16, 4177–4191 (2008).
Leuthold, J. et al. Silicon organic hybrid technology — a platform for practical nonlinear optics. Proc. IEEE 97, 1304–1316 (2009).
Claps, R., Dimitropoulos, D., Raghunathan, V., Han, Y. & Jalali, B. Observation of stimulated Raman amplification in silicon waveguides. Opt. Express 11, 1731–1739 (2003).
Liang, T. K. & Tsang, H. K. Efficient Raman amplification in silicon-on-insulator waveguides. Appl. Phys. Lett. 85, 3343–3345 (2004).
Rong, H. et al. An all-silicon Raman laser. Nature 433, 292–294 (2005).
Foster, M. A. et al. Broad-band optical parametric gain on a silicon photonic chip. Nature 441, 960–963 (2006).
Tsuchizawa, T. et al. Microphotonics devices based on silicon microfabrication technology. IEEE J. Sel. Top. Quant. Electron. 11, 232–240 (2005).
Bogaerts, W. et al. Compact wavelength-selective functions in silicon-on-insulator photonic wires. IEEE J. Sel. Top. Quant. Electron. 12, 1394–1401 (2006).
Lipson, M. Guiding, modulating, and emitting light on silicon — challenges and opportunities. J. Lightwave Technol. 23, 4222–4238 (2005).
Vlasov, Y. A. Silicon photonics for next generation computing systems. Proc. 34th European Conf. Optical Communications paper Tu.1.A.1 (2008).
Lee, B. G. & Bergmann, K. Silicon nano-photonic interconnection networks in multicore processor systems. Proc. OSA Annual Meeting paper FThS1 (2008).
Van Thourhout, D. et al. Photonic interconnect layer on CMOS. Proc. 33rd European Conf. Optical Communications paper 6.3.1 (2007).
Tsybeskov, L., Lockwood, D. J. & Ichikawa, M. Silicon photonics: CMOS going optical. Proc. IEEE 97, 1161–1165 (2009).
Miller, D. Device requirements for optical interconnects to silicon chips. Proc. IEEE 97, 1166–1185 (2009).
Krishnamoorthy, A. V. et al. Computer systems based on silicon photonic interconnects. Proc. IEEE 97, 1337–1361 (2009).
Corcoran, B. et al. Optical signal processing on a silicon chip at 640 Gb/s using slow-light. Opt. Express 18, 7770–7781 (2010).
Boyd, R. W. Nonlinear Optics 3rd edn (Academic Press, 2008).
Lin, Q., Painter, O. J. & Agrawal, G. P. Nonlinear optical phenomena in silicon waveguides: Modeling and applications. Opt. Express 15, 16604–16644 (2007).
Osgood, R. M. Jr et al. Engineering nonlinearities in nanoscalse optical systems: Physics and applications in dispersion-engineered silicon nonaphotonics wires. Adv. Opt. Photon. 1, 162–235 (2009).
Palik, E. D. Handbook of Optical Constants of Solids (Academic Press, 1998).
Foster, M. A., Turner, A. C., Lipson, M. & Gaeta, A. L. Nonlinear optics in photonic nanowires. Opt. Express 16, 1300–1320 (2008).
Soref, R. A. & Bennett, B. R. Electrooptical effects in silicon. IEEE J. Quant. Electron. QE-23, 123–129 (1987).
Jacobsen, R. S. et al. Strained silicon as a new electro-optic material. Nature 441, 199–202 (2006).
Hochberg, M. et al. Towards a millivolt optical modulator with nano-slot waveguides. Opt. Express 15, 8401–8410 (2007).
Koos, C., Brosi, J.-M., Waldow, M., Freude, W. & Leuthold, J. Silicon-on-insulator modulators for next-generation 100 Gbit/s-Ethernet. Proc. 33th European Conf. Optical Communications paper P056 (2007).
Baehr-Jones, T. et al. Nonlinear polymer-clad silicon slot waveguide modulator with a half wave voltage of 0.25 V. Appl. Phys. Lett. 92, 163303 (2008).
Liu, A. et al. A high-speed silicon optical modulator based on a metal-oxide-semiconductor capacitor. Nature 427, 615–618 (2004).
Liao, L. et al. 40 Gbit/s silicon optical modulator for high-speed applications. Electron. Lett. 43, 1196–1197 (2007).
Green, W. M., Rooks, M. J., Sekaric, L. & Vlasov, Y. A. Ultra-compact, low RF power, 10 Gb/s silicon Mach–Zehnder modulator. Opt. Express 15, 17106–17113 (2007).
Xu, Q., Schmidt, B., Pradhan, S. & Lipson, M. Micrometre-scale silicon electro-optic modulator. Nature 435, 325–327 (2005).
Liu, Y. & Tsang, H. K. Time dependent density of free carriers generated by two photon absorption in silicon waveguides. Appl. Phys. Lett. 90, 211105 (2007).
Vallaitis, T. et al. Optical properties of highly nonlinear silicon-organic hybrid (SOH) waveguide geometries. Opt. Express 17, 17357–17368 (2009).
Tsang, H. K. & Liu, Y. Nonlinear optical properties of silicon waveguides. Semicond. Sci. Tech. 23, 064007 (2008).
Dinu, M. Dispersion of phonon-assisted nonresonant third-order nonlinearities. IEEE J. Quant. Electron. 39, 1498–1503 (2003).
Sheik-Bahae, M. et al. Sensitive measurement of optical nonlinearities using a single beam. IEEE J. Quant. Electron. 26, 760–769 (1990).
Raghunathan, V., Borlaug, D., Rice, R. R., Jalali, B. Demonstration of a mid-infrared silicon Raman amplifier. Opt. Express 15, 14355–14362 (2007).
Liu, X., Osgood, R. M., Vlasov, Y. A. & Green, W. M. J. Broadband mid-infrared parametric amplification, net off-chip gain, and cascaded four-wave mixing in silicon photonic wires. Proc. 6th IEEE Int. Conf. Group IV Photonics pdp 1.3 (2009).
Corcoran, B. et al. Green light emission in silicon through slow-light enhanced third-harmonic generation in photonic crystal waveguides. Nature Photon. 3, 206–210 (2009).
Foster, M. A., Moll, K. D. & Gaeta, A. L. Optimal waveguide dimensions for nonlinear interactions. Opt. Express 12, 2880–2887 (2004).
Koos, C., Jacome, L., Poulton, C., Leuthold, J. & Freude, W. Nonlinear silicon-on-insulator waveguides for all-optical signal processing. Opt. Express 15, 5976–5990 (2007).
Salem, R. et al. Signal regeneration using low-power four-wave mixing on silicon chip. Nature Photon. 2, 35–38 (2008).
Michinobu, T. et al. A new class of organic donor–acceptor molecules with large third-order optical nonlinearities. Chem. Commun. 737–739 (2005).
Esembeson, B. et al. A high optical quality supramolecular assembly for third-order integrated nonlinear optics. Adv. Mater. 20, 4584–4587 (2008).
May, J. C., Biaggio, I., Bures, F. & Diederich, F. Extended conjugation and donor–acceptor substitution to improve the third-order optical nonlinearity of small molecules. Appl. Phys. Lett. 90, 251106 (2007).
Hales, J. M. & Perry, J. W. Introduction to Organic Electronic and Optoelectronic Materials and Devices (eds Sun, S.-S. & Dalton, L.) 521–579 (CRC, 2008).
Leong, J. Y. Y. et al. A lead silicate holey fiber with γ = 1860 W−1 km−1 at 1550 nm. Optical Fiber Communication Conf. paper PDP22 (2005).
Mägi, E. C. et al. Enhanced Kerr nonlinearity in sub-wavelength diameter As2Se3 chalcogenide fiber tapers. Opt. Express 15, 10324–10329 (2007).
Hochberg, M. et al. Terahertz all-optical modulation in a silicon–polymer hybrid system. Nature Mater. 5, 703–709 (2006).
Baehr-Jones, T. W. & Hochberg, M. J. Polymer silicon hybrid systems: A platform for practical nonlinear optics. J. Phys. Chem. C 112, 8085–8090 (2008).
Almeida, V. R., Xu, Q., Barrios, C. A. & Lipson, M. Guiding and confining light in void nanostructure. Opt. Lett. 29, 1209–1211 (2004).
Koos, C. et al. Highly-nonlinear silicon photonics slot waveguide. Optical Fiber Communication Conf. paper PDP25 (2008).
Soljacic, M. et al. Photonic-crystal slow-light enhancement of nonlinear phase sensitivity J. Opt. Soc. Am. B 19, 2052–2059 (2002).
Gu, L., Jiang, W., Chen, X., Wang, L. & Chen, R. T. High speed silicon photonic crystal waveguide modulator for low voltage operation. Appl. Phys. Lett. 90, 071105 (2007).
Turner, A. C. et al. Tailored anomalous group-velocity dispersion in silicon channel waveguides. Opt. Express 14, 4357–4362 (2006).
Hartl, I. et al. Ultrahigh-resolution optical coherence tomography using continuum generation in an air silica microstructure optical fiber. Opt. Lett. 26, 608–610 (2001).
Diddams, S. A. et al. Direct link between microwave and optical frequencies with a 300 THz femtosecond laser comb. Phys. Rev. Lett. 84, 5102–5105 (2000).
Raybon, G. et al. 40 Gbit/s pseudo-linear transmission over one million kilometres. Optical Fiber Communication Conf. paper FD10 (2002).
Hillerkuss, D. et al. Single source optical OFDM transmitter and optical FFT receiver demonstrated at line rates of 5.4 and 10.8 Tbit/s. Optical Fiber Communication Conf. paper PDPC1 (2010).
Tsang, H. K. et al. Optical dispersion, two-photon absorption and self-phase modulation in silicon waveguides at 1.5μm wavelength. Appl. Phys. Lett. 80, 416–418 (2002).
Rieger, G. W., Virk, K. S. & Young, J. F. Nonlinear propagation of ultrafast 1.5 μm pulses in high-index-contrast silicon-on-insulator waveguides. Appl. Phys. Lett. 84, 900–902 (2004).
Yin, L., Lin, Q. & Agrawal, G. P. Soliton fission and supercontinuum generation in silicon waveguides. Opt. Lett. 32, 391–393 (2007).
Hsieh, I. et al. Supercontinuum generation in silicon photonic wires. Opt. Express 15, 15242–15249 (2007).
Koonath, P., Solli, D. R. & Jalali, B. Continuum generation and carving on a silicon chip. Appl. Phys. Lett. 91, 061111 (2007).
Wang, C. C. et al. Optical third harmonic generation in reflection from crystalline and amorphous samples of silicon. Phys. Rev. Lett. 57, 1647–1650 (1986).
Dal Negro, L. Light emission from silicon nanostructures: Past, present and future perspectives. Proc. CLEO 2009 paper CTuN1 (2009).
Espinola, R., Dadap, J., Osgood, R. Jr, McNab, S. & Vlasov, Y. Raman amplification in ultrasmall silicon-on-insulator wire waveguides. Opt. Express 12, 3713–3718 (2004).
Liu, A., Rong, H., Paniccia, M., Cohen, O. & Hak, D. Net optical gain in a low loss silicon-on insulator waveguide by stimulated Raman scattering. Opt. Express 12, 4261–4267 (2004).
Xu, Q., Almeida, V. & Lipson, M. Time resolved study of Raman gain in highly confined silicon-on-insulator waveguides. Opt. Express 12, 4437–4442 (2004).
Jalali, B., Raghunathan, V., Boyraz, O., Claps, R. & Dimitropoulos, D. Wavelength conversion and light amplification in silicon waveguides. Proc. Int. Conf. Group IV Photonics paper WA3 (2004).
Jones, R. et al. Net continuous wave optical gain in a low loss silicon-on-insulator waveguide by stimulated Raman scattering. Opt. Express 13, 519–525 (2005).
Liu, Y. & Tsang, H. K. Nonlinear absorption and Raman gain in helium ion implanted silicon. Opt. Lett. 31, 1714–1716 (2006).
Fathpour, S., Tsia, K. K. & Jalali, B. Energy harvesting in silicon Raman amplifiers. Appl. Phys. Lett. 89, 061109 (2006).
Sih, V. et al. Raman amplification of 40Gb/s data in low-loss silicon waveguides. Opt. Express 15, 357–362 (2007).
Boyraz, O. & Jalali, B. Demonstration of a silicon Raman laser. Opt. Express 12, 5269–5273 (2004).
Rong, H. et al. Low-threshold continuous-wave Raman silicon laser. Nature Photon. 1, 232–237 (2007).
Okawachi, Y. et al. All-optical slow-light on a photonic chip. Opt. Express 14, 2317–2322 (2006).
Liu, X., Osgood, R. M., Vlasov, J. A. & Green, W. M. J. Mid-infrared optical parametric amplifier using silicon nanophotonic waveguides. Nature Photon. 4, 557–560 (2010).
Zlatanovic, S. et al. Mid-infrared wavelength conversion in silicon waveguides using ultracompact telecom-band-derived pump source. Nature Photon. 4, 561–564 (2010).
Levi, J. S. CMOS-compatible multiple-wavelength oscillator for on-chip optical interconnects. Nature Photon. 4, 37–40 (2010).
Fukuda, H. et al. Four-wave mixing in silicon wire waveguides. Opt. Express 13, 4629–4637 (2005).
Yamada, K. et al. All-optical efficient wavelength conversion using silicon photonic wire waveguide. IEEE Photon. Tech. Lett. 18, 1046–1048 (2006).
Rong, H. S., Kuo, Y. H., Liu, A. S., Paniccia, M. & Cohen, O. High efficiency wavelength conversion of 10Gb/s data in silicon waveguides. Opt. Express 14, 1182–1188 (2006).
Foster, M. A, Turner, A. C., Salem, R., Lipson, M. & Gaeta, A. L. Broad-band continuous-wave parametric wavelength conversion in silicon nanowaveguides. Opt. Express 15, 12949–12958 (2007).
Salem, R. et al. Signal regeneration using low-power four-wave mixing on silicon chip. Nature Photon. 2, 35–38 (2008).
Lee, B. G. et al. Demonstration of broadband wavelength conversion at 40 Gb/s in silicon waveguides. IEEE Photon. Tech. Lett. 21, 182–184 (2009).
Vallaitis, T. et al. All-optical wavelength conversion at 42.7 Gbit/s in a 4Â mm long silicon-organic hybrid waveguide. Optical Fiber Communication Conf. paper OWS3 (2009).
Vallaitis, T. et al. All-optical wavelength conversion of 56 Gbit/s NRZ- DQPSK signals in silicon–organic hybrid strip waveguides. Optical Fiber Communication Conf. paper OTuN1 (2010).
Astar, W. et al. Conversion of 10 Gb/s NRZ-OOK to RZ-OOK utilizing XPM in a Si nanowire. Opt. Express 17, 12987–12999 (2009).
Vallaitis, T. et al. All-optical wavelength conversion using cross-phase modulation at 42.7 Gbit/s in silicon-organic hybrid (SOH) waveguides. Proc. IEEE Int. Conf. Photonics in Switching 2009 78–79 (2009).
Raghunathan, V., Claps, R., Dimitropoulos, D. & Jalali, B. Wavelength conversion in silicon using Raman induced four-wave mixing. Appl. Phys. Lett. 85, 34–36 (2004).
Koonath, P., Solli, D. R. & Jalali, B. High efficiency CARS conversion in silicon. Conf. Lasers and Electro-optics & Quantum Electronics and Laser Science paper CThE3 (2008).
Moss, D. J., Fu, L., Littler, I. & Eggleton, B. J. Ultrafast all-optical modulation via two-photon absorption in silicon-insulator waveguides. Electron. Lett. 41, 320–321 (2005).
Li, F. et al. Error-free all-optical demultiplexing at 160Gb/s via FWM in a silicon nanowire. Opt. Express 18, 3905–3910 (2010).
Azna, J. Time-to-frequency conversion using a single time lens. Opt. Commun. 217, 205–209 (2003).
Foster, M. A. et al. Ultrafast waveform compression using a time-domain telescope. Nature Photon. 3, 581–585 (2009).
Pavesi, L. & Lockwood, D. J. Silicon Photonics (Springer, 2004).
Zinoviev, K. et al. Silicon photonic biosensors for lab-on-a-chip applications. Adv. Opt. Technol. 383927 (2008).
Baehr-Jones, T., Hochberg, M., Walker, C. & Scherer, A. High-Q optical resonators in silicon-on-insulator-based slot waveguides. Appl. Phys. Lett. 86, 081101 (2005).
Acknowledgements
This work was in part supported by the Center for Functional Nanostructures (CFN) funded by the German science foundation (DFG), the European project SOFI and the European project EURO-FOS.
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Leuthold, J., Koos, C. & Freude, W. Nonlinear silicon photonics. Nature Photon 4, 535–544 (2010). https://doi.org/10.1038/nphoton.2010.185
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DOI: https://doi.org/10.1038/nphoton.2010.185
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