Abstract
Disordered photonic materials can diffuse and localize light through random multiple scattering, offering opportunities to study mesoscopic phenomena, control light–matter interactions, and provide new strategies for photonic applications. Light transport in such media is governed by photonic modes characterized by resonances with finite spectral width and spatial extent. Considerable steps have been made recently towards control over the transport using wavefront shaping techniques. The selective engineering of individual modes, however, has been addressed only theoretically. Here, we experimentally demonstrate the possibility to engineer the confinement and the mutual interaction of modes in a two-dimensional disordered photonic structure. The strong light confinement is achieved at the fabrication stage by an optimization of the structure, and an accurate and local tuning of the mode resonance frequencies is achieved via post-fabrication processes. To show the versatility of our technique, we selectively control the detuning between overlapping localized modes and observe both frequency crossing and anti-crossing behaviours, thereby paving the way for the creation of open transmission channels in strongly scattering media.
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References
Joannopoulos, J. D., Johnson, S. G., Winn, J. N. & Meade, R. D. Molding the Flow of Light 2nd edn (Princeton Univ. Press, 2008).
Akahane, Y., Asano, T., Song, B. S. & Noda, S. High-Q photonic nanocavity in a two-dimensional photonic crystal. Nature 425, 944–947 (2003).
Yanik, M. F. & Fan, S. Stopping light all optically. Phys. Rev. Lett. 92, 083901 (2004).
Tran, N. V., Combrié, S. & De Rossi, A. Directive emission from high-Q photonic crystal cavities through band folding. Phys. Rev. B 79, 041101(R) (2009).
Strudley, T., Zehender, T., Blejean, C., Bakkers, E. P. A. M. & Muskens, O. Mesoscopic light transport by very strong collective multiple scattering in nanowire mats. Nature Photon. 7, 413–418 (2013).
Payne, B., Yamilov, A. & Skipetrov, S. E. Anderson localization as position-dependent diffusion in disordered waveguides. Phys. Rev B. 82, 024205 (2010).
Sapienza, L. et al. Cavity quantum electrodynamics with Anderson-localized modes. Science 327, 1352–1355 (2010).
Noh, H. et al. Control of lasing in biomimetic structures with short range order. Phys. Rev Lett. 106, 183901 (2011).
Vynck, K., Burresi, M., Riboli, F. & Wiersma, D. S. Photon management in two-dimensional disordered media. Nature Mater. 11, 1017–1022 (2012).
Bertolotti, J. et al. Non-invasive imaging through opaque scattering layers. Nature 491, 232–234 (2012).
Redding, B., Liew, S. F., Sarma, R. & Cao, H. Compact spectrometer based on a disordered photonic chip. Nature Photon. 7, 746–751 (2013).
Sheng, P. Introduction to Wave Scattering, Localization and Mesoscopic Phenomena 2nd edn (Springer, 2010).
Ching, E. S. C. et al. Quasinormal-mode expansion for waves in open systems. Rev. Mod. Phys. 70, 1545–1554 (1998).
Genack, A. Z. & Zhang, S. in Tutorials in Complex Photonic Media (eds Noginov, M. A.et al.) (SPIE Publications, 2009).
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).
Mosk, A., Lagendijk, A., Lerosey, G. & Fink, M. Controlling waves in space and time for imaging and focusing in complex media. Nature Photon. 6, 283–292 (2012).
Leonetti, M., Conti, C. & Lopez, C. Switching and amplification in disordered lasing resonators. Nature Commun. 4, 1740 (2013).
Bachelard, B., Andreasen, J., Gigan, S. & Sebbah, P. Taming random lasers through active spatial control of the pump. Phys. Rev. Lett. 109, 033903 (2012).
Labonté, L., Vanneste, C. & Sebbah, P. Localized mode hybridization by fine tuning of two-dimensional random media. Opt. Lett. 37, 1946–1948 (2012).
Vanneste, C. & Sebbah, P. Complexity of two-dimensional quasimodes at the transition from weak scattering to Anderson localization. Phys. Rev. A. 79, 041802(R) (2009).
Riboli, F. et al. Anderson localization of near-visible light in two dimensions. Opt. Lett. 36, 127–129 (2011).
Intonti, F. et al. Mode tuning of photonic crystal nanocavities by photoinduced non-thermal oxidation. Appl. Phys. Lett. 100, 033116 (2012).
Pendry, J. B. Quasi-extended electron states in strongly disordered systems. J. Phys. C 20, 733–742 (1987).
Mirlin, A. D. Statistic of energy levels and eigenfunctions in disordered systems. Phys. Rep. 326, 259 (2000).
Van Tiggelen, B. A. & Skipetrov, S. E. Fluctuations of local density of states and C0 speckle correlations are equal. Phys. Rev. E 73, 045601(R) (2006).
Cazé, A., Pierrat, R. & Carminati, R. Near-field interactions and nonuniversality in speckle patterns produced by a point source in a disordered medium. Phys. Rev. A 82, 043823 (2010).
Sapienza, R. et al. Long-tail statistics of the Purcell factor in disordered media by near field interaction. Phys. Rev. Lett. 106, 163902 (2011).
Birowosuto, M. D., Skipetrov, S. E., Vos, W. L. & Mosk, A. P. Observation of spatial fluctuations of the local density of states in random photonic media. Phys. Rev. Lett. 105, 013904 (2010).
Garcia, P. D., Stobbe, S., Sollner, I. & Lodahl, P. Nonuniversality intensity correlations in a two-dimensional Anderson-localizing random medium. Phys. Rev. Lett. 109, 253902 (2012).
Nieuwenhuizen, Th. M. & van Rossum, M. C. W. Intensity distributions of waves transmitted through a multiple scattering medium. Phys. Rev. Lett. 74, 2674–2677 (1995).
Laurent, D., Legrand, O., Sebbah, P., Vanneste, C. & Mortessagne, F. Localized modes in a finite-size open disordered microwave cavity. Phys. Rev. Lett. 99, 253902 (2007).
Berman, P. R. (ed.) Cavity Quantum Electrodynamics (Academic, 1994).
Koenderink, A. F., Kafesaki, M., Buchker, B., C. & Sandoghdar, V. Controlling the resonance of a photonic crystal microcavity by near-field probe. Phys. Rev. Lett. 95, 153904 (2005).
Intonti, F. et al. Spectral tuning and near-field imaging of photonic crystal microcavities. Phys. Rev. B 78, 041401(R) (2008).
Spasenovic, M., Beggs, D. M., Lalanne, P., Krauss, T. F. & Kuipers, L. Measuring the spatial extent of individual localized photonic states. Phys. Rev. B 86, 155153 (2012).
Intonti, F. et al. Nanofluidic control of coupled photonic crystal resonator. Appl. Phys. Lett. 96, 141114 (2010).
Bertolotti, J., Gottardo, S., Wiersma, D. S., Ghulinyan, M. & Pavesi, L. Optical necklace states in Anderson localized 1D systems. Phys. Rev. Lett. 94, 113903 (2005).
Acknowledgements
We gratefully acknowledge M. Burresi for discussions and for critically reading the manuscript, and F. Pratesi and G. M. Conley for discussions. This work is financially supported by the Eu NoE Nanophotonics for Energy Efficiency, the ERC through the Advanced Grant PhotBots and ENI S.p.A.
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F.R. designed and engineered the samples; M.G. conceived the post-fabrication tuning of random modes; N.C., F.I., F.R. and S.V. performed the experiments; F.R. and N.C. performed the data analysis with help from M.G., K.V., F.I., P.B. and D.S.W.; A.G., L.L., L.B. and A.F. fabricated the samples; F.R. and M.G. wrote the paper with support from K.V., F.I. and N.C., with appraisals and inputs from D.S.W.; F.R., K.V., P.B., D.S.W. and M.G. contributed to the theoretical analysis. All authors contributed to the general discussion.
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Riboli, F., Caselli, N., Vignolini, S. et al. Engineering of light confinement in strongly scattering disordered media. Nature Mater 13, 720–725 (2014). https://doi.org/10.1038/nmat3966
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DOI: https://doi.org/10.1038/nmat3966
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