Adaptive wavefront shaping for controlling nonlinear multimode interactions in optical fibres

Mosk, A. P., Lagendijk, A., Lerosey, G. & Fink, M. Controlling waves in space and time for imaging and focusing in complex media. Nat. Photon. 6, 283–292 (2012).

Vellekoop, I. M. & Mosk, A. P. Focusing coherent light through opaque strongly scattering media. Opt. Lett. 32, 2309–2311 (2007).

Katz, O., Small, E. & Silberberg, Y. Looking around corners and through thin turbid layers in real time with scattered incoherent light. Nat. Photon. 6, 549–553 (2012).

Park, J.-H., Sun, W. & Cui, M. High-resolution in vivo imaging of mouse brain through the intact skull. Proc. Natl Acad. Sci. USA 112, 9236–9241 (2015).

Čižmár, T. & Dholakia, K. Exploiting multimode waveguides for pure fibre-based imaging. Nat. Commun. 3, 1027 (2012).

Papadopoulos, I. N., Farahi, S., Moser, C. & Psaltis, D. High-resolution, lensless endoscope based on digital scanning through a multimode optical fiber. Biomed. Opt. Express 4, 260–270 (2013).

Caravaca-Aguirre, A. M., Niv, E., Conkey, D. B. & Piestun, R. Real-time resilient focusing through a bending multimode fiber. Opt. Express 21, 12881–12887 (2013).

Barsi, C., Wan, W. & Fleischer, J. W. Imaging through nonlinear media using digital holography. Nat. Photon. 3, 211–215 (2009).

Masihzadeh, O., Schlup, P. & Bartels, R. A. Enhanced spatial resolution in third-harmonic microscopy through polarization switching. Opt. Lett. 34, 1240–1242 (2009).

Katz, O., Small, E., Guan, Y. & Silberberg, Y. Noninvasive nonlinear imaging through strongly-scattering turbid layers. Optica. 1, 170–174 (2014).

Tzang, O. & Piestun, R. Lock-in detection of photoacoustic feedback signal for focusing through scattering media using wave-front shaping. Opt. Express 24, 28122–28130 (2016).

Frostig, H. et al. Focusing light by wavefront shaping through disorder and nonlinearity. Optica 4, 1073–1079 (2017).

Qiao, Y., Peng, Y., Zheng, Y., Ye, F. & Chen, X. Second-harmonic focusing by nonlinear turbid medium via feedback-based wavefront shaping. Opt. Lett. 42, 1895–1898 (2017).

Cohen, O. et al. Observation of random-phase lattice solitons. Nature 433, 500–503 (2005).

Sun, C., Waller, L., Dylov, D. V. & Fleischer, J. W. Spectral dynamics of spatially incoherent modulation instability. Phys. Rev. Lett. 108, 263902 (2012).

Demas, J. et al. Intermodal nonlinear mixing with Bessel beams in optical fiber. Optica 2, 14–17 (2015).

Wright, L. G., Christodoulides, D. N. & Wise, F. W. Controllable spatiotemporal nonlinear effects in multimode fibres. Nat. Photon. 9, 306–310 (2015).

Wright, L. G. et al. Self-organized instability in graded-index multimode fibres. Nat. Photon. 10, 771–776 (2016).

Krupa, K. et al. Spatial beam self-cleaning in multimode fiber. Nat. Photon. 11, 237–241 (2017).

Agrawal, G. P. Nonlinear Fiber Optics 4th edn (Academic Press, 2007).

Li, G., Bai, N., Zhao, N. & Xia, C. Space-division multiplexing: the next frontier in optical communication. Adv. Opt. Photon. 6, 293–339 (2014).

Gong, M. et al. Numerical modeling of transverse mode competition in strongly pumped multimode fiber lasers and amplifiers. Opt. Express 15, 3236–3246 (2007).

Richardson, D. J., Nilsson, J. & Clarkson, W. A. High power fiber lasers: current status and future perspectives. Josa B 27, B63–B92 (2010).

Caravaca-Aguirre, A. M. & Piestun, R. Single multimode fiber endoscope. Opt. Express 25, 1656–1665 (2017).

Wright, L. G., Renninger, W. H., Christodoulides, D. N. & Wise, F. W. Spatiotemporal dynamics of multimode optical solitons. Opt. Express 23, 3492–3506 (2015).

Choi, Y. et al. Scanner-free and wide-field endoscopic imaging by using a single multimode optical fiber. Phys. Rev. Lett. 109, 203901 (2012).

Florentin, R. et al. Shaping the light amplified in a multimode fiber. Light Sci. Appl. 6, e16208 (2017).

Popoff, S. M. et al. Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media. Phys. Rev. Lett. 104, 100601 (2010).

Bowers, M. W., Boyd, R. W. & Hankla, A. K. Brillouin-enhanced four-wave-mixing vector phase-conjugate mirror with beam-combining capability. Opt. Lett. 22, 360–362 (1997).

Stolen, R. H., Ippen, E. P. & Tynes, A. R. Raman oscillation in glass optical waveguide. Appl. Phys. Lett. 20, 62–64 (1972).

Rosman, G. High-order comb spectrum from stimulated Raman scattering in a silica-core fibre. Opt. Quantum Electron. Electron. 14, 92–93 (1982).

Pourbeyram, H., Agrawal, G. P. & Mafi, A. Stimulated Raman scattering cascade spanning the wavelength range of 523 to 1750 nm using a graded-index multimode optical fiber. Appl. Phys. Lett. 102, 1–5 (2013).

Chiang, K. S. Stimulated Raman scattering in a multimode optical fiber: self-focusing or mode competition? Opt. Commun. 95, 235–238 (1993).

Couny, F., Benabid, F., Roberts, P. J., Light, P. S. & Raymer, M. G. Generation and photonic guidance of multi-octave optical-frequency combs. Science 318, 1118–1121 (2007).

Nazemosadat, E., Pourbeyram, H. & Mafi, A. Phase matching for spontaneous frequency conversion via four-wave mixing in graded-index multimode optical fibers. J. Opt. Soc. Am. B 33, 144–150 (2016).

Conkey, D. B., Brown, A. N., Caravaca-Aguirre, A. M. & Piestun, R. Genetic algorithm optimization for focusing through turbid media in noisy environments. Opt. Express 20, 4840–4849 (2012).

Stolen, R. H., Bjorkholm, J. E. & Ashkin, A. Phase-matched three-wave mixing in silica fiber optical waveguides. Appl. Phys. Lett. 24, 308–310 (1974).

Stolen, R. H. Phase-matched-stimulated four-photon mixing in silica-fiber wave. IEEE J. Quantum Electron. 11, 100–103 (1975).

Pourbeyram, H. & Mafi, A. Photon pair generation in multimode optical fibers via intermodal phase matching. Phys. Rev. A 94, 023815 (2016).

Upiol, R. D. et al. Far-detuned cascaded intermodal four-wave mixing in a multimode fiber. Opt. Lett. 42, 1293–1296 (2017).

Wright, L. G., Wabnitz, S., Christodoulides, D. N. & Wise, F. W. Ultrabroadband dispersive radiation by spatiotemporal oscillation of multimode waves. Phys. Rev. Lett. 115, 223902 (2015).

Krupa, K. et al. Observation of geometric parametric instability induced by the periodic spatial self-imaging of multimode waves. Phys. Rev. Lett. 116, 183901 (2016).

Pourbeyram, H. & Mafi, A. Apparent non-conservation of momentum of light due to strongly coupled nonlinear dynamics in a multimode optical fiber. Preprint at https://arxiv.org/abs/1701.05606 (2017).

Dupiol, R. et al. Intermodal modulational instability in graded-index multimode optical fibers. Opt. Lett. 42, 3419–3422 (2017).

Lombard, L., Brignon, A., Huignard, J. P., Lallier, E. & Georges, P. Beam cleanup in a self-aligned gradient-index Brillouin cavity for high-power multimode fiber amplifiers. Opt. Lett. 31, 158–160 (2006).

Sharma, A., Dokhanian, M., Wu, Z., Williams, A. & Venkateswarlu, P. Four-photon-mixing-mediated stimulated Raman scattering in a multimode optical fiber. Opt. Lett. 19, 1122–1124 (1994).

Temprana, E. et al. Overcoming Kerr-induced capacity limit in optical fiber transmission. Science 348, 1445–1448 (2015).

Mitra, P. P. & Stark, J. B. Nonlinear limits to the information capacity of optical fibre communications. Nature 411, 1027–1030 (2001).

Essiambre, R., Kramer, G., Winzer, P. J., Foschini, G. J. & Goebel, B. Capacity limits of optical fiber networks. J. Light. Technol. 28, 662–701 (2010).

Chraplyvy, A. R. Limitations on lightwave communications imposed by optical-fiber nonlinearities. J. Light. Technol. 8, 1548–1557 (1990).

Terry, N. B., Alley, T. G., Russell, T. H. & Engel, K. T. An explanation of SRS beam cleanup in graded-index fibers and the absence of SRS beam cleanup in step-index fibers. Opt. Express 15, 17509–17519 (2007).

Katz, O., Small, E., Bromberg, Y. & Silberberg, Y. Focusing and compression of ultrashort pulses through scattering media. Nat. Photon. 5, 372–377 (2011).

Shen, X., Kahn, J. M. & Horowitz, M. A. Compensation for multimode fiber dispersion by adaptive optics. Opt. Lett. 30, 2985–2987 (2005).

Shibata, N., Shibata, S. & Edahiro, T. Refractive index dispersion of lightguide glasses at high temperature. Electron. Lett. 17, 310–311 (1981).

Tzang, O., Niv, E., Caravaca-Aguirre, A. M. & Piestun, R. Thermal expansion feedback for wave-front shaping. Opt. Express 25, 6122–6131 (2017).

Wright, L. G. et al. Multimode nonlinear fiber optics: massively parallel numerical solver, tutorial and outlook. IEEE J. Sel Top. Quantum Electron. 24, 5100516 (2018).