Disordered photonics

188 NATURE PHOTONICS | VOL 7 | MARCH 2013 | www.nature.com/naturephotonics The diffusion of light by random materials is an established phenomenon that is considered to be of little relevance in our daily lives. However, in the field of photonics, scattering, such as that created by dust or imperfections, is often particularly undesirable. So why should we bother performing research into disordered photonic materials? Although it is true that a better understanding of disorder can help overcome problems arising from scattering, researchers have recently discovered a wealth of interesting physics behind the behaviour of light rays in random materials. Light that is multiply scattered does not lose its wave character and can interfere both during and after the scattering process. Because the scattering is elastic, optical information is not lost. In addition, owing to reciprocity, multiple scattering is, in principle, fully reversible. This combination leads to a series of interesting physical effects and also creates enormous potential for new disorder-based optical applications. It is not possible to look through a white marble wall because the light rays inside are multiply scattered by wavelength-scale inhomogeneities. The rays from an object behind the wall will therefore be scattered several times before they reach your eye, thus completely blurring the image. Nevertheless, given that the scattering is elastic, the information on the object is still present; it is scrambled by the multiple scattering process and is thus contained in a ‘speckle-pattern’1 — a complex pattern arising from the interference between several randomly scattered waves (Fig. 1). If the ‘key’ to descrambling the information were known, it would in principle be possible to look through the wall, or at least to reconstruct the original image. The same concept could then be applied to look through fog, or form images of human organs through the skin. An important step in this direction was recently taken by Vellekoop and Mosk2, who developed an experimental technique for creating the descrambling key. Their approach is based on wavefront-shaping, which works as follows. First, a laser beam is directed onto a random sample, but passes beforehand through a phase matrix that makes it possible to control the phase of the beam along its cross-section, pixel by pixel. The light that has passed through the sample (undergoing multiple scattering events in the process) is then recorded and a smart optimization protocol is used to maximize the output at a single point. This slowly ‘teaches’ the phase matrix which random structure is needed at the input to compensate exactly for the random scattering of the sample. The descrambling ‘key’ is then embedded in the phase matrix and applied to the light before it enters the random medium. Not only does this concept make it possible to focus light2,3 through a Disordered photonics

[1]  Transport of quantum noise through random media. , 2004, Physical review letters.

[2]  Diederik S. Wiersma,et al.  The physics and applications of random lasers , 2008 .

[3]  Masaya Notomi,et al.  Photonic amorphous diamond structure with a 3D photonic band gap. , 2008, Physical review letters.

[4]  P. Kumar,et al.  Photon statistics of random lasers with resonant feedback. , 2001, Physical review letters.

[5]  Mher Ghulinyan,et al.  Optical necklace states in Anderson localized 1D systems. , 2005 .

[6]  Photocount statistics in mesoscopic optics. , 2005, Physical review letters.

[7]  Lihong V. Wang,et al.  Time-reversed ultrasonically encoded optical focusing into scattering media , 2010, Nature photonics.

[8]  Jeremy J. Baumberg,et al.  Pointillist structural color in Pollia fruit , 2012, Proceedings of the National Academy of Sciences.

[9]  G. C. Tang,et al.  Coherent backscattering of light from biological tissues. , 1990, Applied optics.

[10]  Multiple scattering of light in superdiffusive media. , 2010, Physical review letters.

[11]  D. Vollhardt,et al.  Scaling Equations from a Self-Consistent Theory of Anderson Localization , 1982 .

[12]  Wolf,et al.  Weak localization and coherent backscattering of photons in disordered media. , 1985, Physical review letters.

[13]  P. Barthelemy,et al.  Optical switching by capillary condensation , 2007 .

[14]  P. Barthelemy,et al.  Light transport through disordered layers of dense gallium arsenide submicron particles , 2012 .

[15]  A. Lagendijk,et al.  Observation of weak localization of light in a random medium. , 1985, Physical review letters.

[16]  P. Spinelli,et al.  Broadband omnidirectional antireflection coating based on subwavelength surface Mie resonators , 2012, Nature Communications.

[17]  Eli Yablonovitch,et al.  Amorphous diamond-structured photonic crystal in the feather barbs of the scarlet macaw , 2012, Proceedings of the National Academy of Sciences.

[18]  P. Stano,et al.  Suppression of interactions in multimode random lasers in the Anderson localized regime , 2012, Nature Photonics.

[19]  A. Lagendijk,et al.  Transverse localization of light. , 1989, Physical review letters.

[20]  G. Lerosey,et al.  Controlling waves in space and time for imaging and focusing in complex media , 2012, Nature Photonics.

[21]  Massimo Inguscio,et al.  Anderson localization of a non-interacting Bose–Einstein condensate , 2008, Nature.

[22]  Martine Chevrollier,et al.  Lévy flights of photons in hot atomic vapours , 2009, 0904.2454.

[23]  Andrea Fratalocchi,et al.  Route to strong localization of light: the role of disorder. , 2012, Optics express.

[24]  Jing Wang,et al.  Transport through modes in random media , 2011, Nature.

[25]  Pedro David Garcia,et al.  Cavity Quantum Electrodynamics with Anderson-Localized Modes , 2010, Science.

[26]  B. Ilic,et al.  Experimental observation of strong photon localization in disordered photonic crystal waveguides. , 2007, Physical review letters.

[27]  M. Segev,et al.  Transport and Anderson localization in disordered two-dimensional photonic lattices , 2007, Nature.

[28]  G. Labeyrie,et al.  Coherent backscattering of light by cold atoms , 1999, Conference Digest. 2000 International Quantum Electronics Conference (Cat. No.00TH8504).

[29]  Ad Lagendijk,et al.  Spatial extent of random laser modes. , 2007, Physical review letters.

[30]  D. Shen,et al.  Low‐Threshold Electrically Pumped Random Lasers , 2010, Advanced materials.

[31]  S. Skipetrov Quantum Optics of Random Media , 2009 .

[32]  D. Psaltis,et al.  OPTICAL PHASE CONJUGATION FOR TURBIDITY SUPPRESSION IN BIOLOGICAL SAMPLES. , 2008, Nature photonics.

[33]  Aleksandar Donev,et al.  Unexpected density fluctuations in jammed disordered sphere packings. , 2005, Physical review letters.

[34]  M. Shawkey,et al.  A protean palette: colour materials and mixing in birds and butterflies , 2009, Journal of The Royal Society Interface.

[35]  Thomas Pertsch,et al.  Bloch oscillations and Zener tunneling in two-dimensional photonic lattices. , 2006, Physical review letters.

[36]  J. Sambles,et al.  Photonic structures in biology , 2003, Nature.

[37]  Claudio Conti,et al.  The mode-locking transition of random lasers , 2011, 1304.3652.

[38]  Renato Torre,et al.  Amplified extended modes in random lasers. , 2004, Physical review letters.

[39]  Robert P. H. Chang,et al.  Random laser action in semiconductor powder , 1999 .

[40]  D. Wiersma,et al.  Fifty years of Anderson localization , 2009 .

[41]  Roberto Righini,et al.  Localization of light in a disordered medium , 1997, Nature.

[42]  Philip W. Anderson,et al.  The question of classical localization A theory of white paint , 1985 .

[43]  Roman J. B. Dietz,et al.  Co-existence of strongly and weakly localized random laser modes , 2009 .

[44]  O. Katz,et al.  Focusing and compression of ultrashort pulses through scattering media , 2010, 1012.0413.

[45]  P. Marko,et al.  ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES , 2008 .

[46]  S. Skipetrov,et al.  Localization of ultrasound in a three-dimensional elastic network , 2008, 0805.1502.

[47]  M. Stoytchev,et al.  Statistical signatures of photon localization , 2000, Nature.

[48]  H. K. Hodge,et al.  RANDOM THOUGHTS , 1988, SGSM.

[49]  Evelyn L. Hu,et al.  Strongly correlated photons on a chip , 2011, 1108.3053.

[50]  C. Vanneste,et al.  Localized mode hybridization by fine tuning of two-dimensional random media. , 2012, Optics letters.

[51]  C. A. Murray,et al.  Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions , 1979 .

[52]  S R Arridge,et al.  Recent advances in diffuse optical imaging , 2005, Physics in medicine and biology.

[53]  Riccardo Sapienza,et al.  Photonic Glass: A Novel Random Material for Light , 2007 .

[54]  A. Lagendijk,et al.  Optical extinction due to intrinsic structural variations of photonic crystals , 2004, physics/0406052.

[55]  F. Lederer,et al.  Suppression of the local density of states in a medium made of randomly arranged dielectric spheres , 2008, 0810.4080.

[56]  S. John Electromagnetic absorption in a disordered medium near a photon mobility edge , 1984 .

[57]  Ajay Nahata,et al.  Optics of photonic quasicrystals , 2013, Nature Photonics.

[58]  S. John,et al.  Photon statistics and coherence in light emission from a random laser , 2004 .

[59]  B. V. van Tiggelen,et al.  Dynamics of Anderson localization in open 3D media. , 2005, Physical review letters.

[60]  W. Choi,et al.  Maximal energy transport through disordered media with the implementation of transmission eigenchannels , 2012, Nature Photonics.

[61]  William Guerin,et al.  A cold-atom random laser , 2013 .

[62]  J. Bertolotti,et al.  Non-invasive imaging through opaque scattering layers , 2012, Nature.

[63]  Shuichi Kinoshita,et al.  Physics of structural colors , 2008 .

[64]  J. Sáenz,et al.  Photonic properties of strongly correlated colloidal liquids. , 2004 .

[65]  A. Mosk,et al.  Focusing coherent light through opaque strongly scattering media. , 2007, Optics letters.

[66]  Xu,et al.  Spatial confinement of laser light in active random media , 2000, Physical review letters.

[67]  J. Detre,et al.  Diffuse optical measurement of blood flow, blood oxygenation, and metabolism in a human brain during sensorimotor cortex activation. , 2004, Optics letters.

[68]  A. Aspect,et al.  Direct observation of Anderson localization of matter waves in a controlled disorder , 2008, Nature.

[69]  F. Lederer,et al.  Comparison and optimization of randomly textured surfaces in thin-film solar cells. , 2010, Optics express.

[70]  Partial nonlinear reciprocity breaking through ultrafast dynamics in a random photonic medium. , 2012, Physical review letters.

[71]  Roux,et al.  Robust Acoustic Time Reversal with High-Order Multiple Scattering. , 1995, Physical review letters.

[72]  Suppression of transport of an interacting elongated Bose-Einstein condensate in a random potential. , 2005, Physical review letters.

[73]  Salvatore Torquato,et al.  Designer disordered materials with large, complete photonic band gaps , 2009, Proceedings of the National Academy of Sciences.

[74]  P. M. Platzman,et al.  Microwave localization by two-dimensional random scattering , 1991, Nature.

[75]  John B. Pendry,et al.  Quasi-extended electron states in strongly disordered systems , 1987 .

[76]  G. Lerosey,et al.  Focusing Beyond the Diffraction Limit with Far-Field Time Reversal , 2007, Science.

[77]  T. Tamamura,et al.  Lasing action due to the two-dimensional quasiperiodicity of photonic quasicrystals with a Penrose lattice. , 2004, Physical review letters.

[78]  D. Wiersma,et al.  Anderson localization of near-visible light in two dimensions. , 2011, Optics letters.

[79]  Sylvain Gigan,et al.  Image transmission through an opaque material. , 2010, Nature communications.

[80]  Alexey Yamilov,et al.  Anderson localization as position-dependent diffusion in disordered waveguides , 2010 .

[81]  D. Wiersma,et al.  Photon management in two-dimensional disordered media , 2012, 2013 Conference on Lasers & Electro-Optics Europe & International Quantum Electronics Conference CLEO EUROPE/IQEC.

[82]  Ralf Lenke,et al.  Magnetic field effects on coherent backscattering of light , 2000 .

[83]  Andrew A. Lacis,et al.  Scattering, Absorption, and Emission of Light by Small Particles , 2002 .

[84]  M. Ohtsu,et al.  Observing the localization of light in space and time by ultrafast second-harmonic microscopy , 2012, Nature Photonics.

[85]  A. Genack,et al.  Extended quasimodes within nominally localized random waveguides. , 2006, Physical Review Letters.

[86]  H. Stanley,et al.  Optimizing the success of random searches , 1999, Nature.

[87]  L. Dal Negro,et al.  Deterministic aperiodic nanostructures for photonics and plasmonics applications , 2012 .

[88]  Nathan S Lewis,et al.  Enhanced absorption and carrier collection in Si wire arrays for photovoltaic applications. , 2010, Nature materials.

[89]  P. Sheng,et al.  Introduction to Wave Scattering, Localization and Mesoscopic Phenomena. Second edition , 1995 .

[90]  Salvatore Torquato,et al.  Local density fluctuations, hyperuniformity, and order metrics. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[91]  M. V. van Exter,et al.  Observation of two-photon speckle patterns. , 2010, Physical review letters.

[92]  T. Asano,et al.  High-Q photonic nanocavity in a two-dimensional photonic crystal , 2003, Nature.

[93]  Georg Maret,et al.  Observation of the critical regime near Anderson localization of light. , 2005, Physical review letters.

[94]  D. Wiersma,et al.  Bose-Einstein condensate in a random potential. , 2004, Physical review letters.

[95]  Mikael C. Rechtsman,et al.  Disorder-Enhanced Transport in Photonic Quasicrystals , 2011 .

[96]  Frank Scheffold,et al.  Fabrication of mesoscale polymeric templates for three-dimensional disordered photonic materials. , 2012, Optics express.

[97]  Andrea Fratalocchi,et al.  Dynamic light diffusion, three-dimensional Anderson localization and lasing in inverted opals , 2008 .

[98]  A. Ishimaru,et al.  Retroreflectance from a dense distribution of spherical particles , 1984 .

[99]  E. Akkermans,et al.  Photon localization and Dicke superradiance in atomic gases. , 2008, Physical review letters.

[100]  A. Lagendijk,et al.  Observation of spatial quantum correlations induced by multiple scattering of nonclassical light. , 2008, Physical review letters.

[101]  Zhengbin Xu,et al.  Random lasing in bone tissue. , 2010, Optics letters.

[102]  J. Klafter,et al.  The random walk's guide to anomalous diffusion: a fractional dynamics approach , 2000 .

[103]  D. Wiersma,et al.  Experimental evidence for recurrent multiple scattering events of light in disordered media. , 1995, Physical review letters.

[104]  Benny Hallam,et al.  Brilliant Whiteness in Ultrathin Beetle Scales , 2007, Science.

[105]  P. Barthelemy,et al.  A Lévy flight for light , 2008, Nature.

[106]  S. John,et al.  Wave propagation and localization in a long-range correlated random potential , 1983 .

[107]  Riccardo Sapienza,et al.  Anisotropic weak localization of light. , 2004, Physical review letters.

[108]  G. Maret,et al.  Direct determination of the transition to localization of light in three dimensions , 2012, Nature Photonics.

[109]  N. Lawandy,et al.  Laser action in strongly scattering media , 1994, Nature.

[110]  Zongfu Yu,et al.  Complete optical isolation created by indirect interband photonic transitions , 2008, OPTO.

[111]  D. Wiersma,et al.  Resonance-driven random lasing , 2008 .

[112]  Michael F. Shlesinger,et al.  Strange kinetics , 1993, Nature.

[113]  D. Christodoulides,et al.  Quantum correlations in two-particle Anderson localization. , 2010, Physical review letters.

[114]  Lars Chittka,et al.  Floral Iridescence, Produced by Diffractive Optics, Acts As a Cue for Animal Pollinators , 2009, Science.

[115]  C. Vanneste,et al.  Localized modes in a finite-size open disordered microwave cavity. , 2007, Physical review letters.

[116]  O. Katz,et al.  Looking around corners and through thin turbid layers in real time with scattered incoherent light , 2012, Nature Photonics.

[117]  M. Megens,et al.  Enhanced backscattering from photonic crystals , 2000 .

[118]  Hui Cao,et al.  Control of lasing in biomimetic structures with short-range order. , 2011, Physical review letters.

[119]  C. Beenakker Random-matrix theory of quantum transport , 1996, cond-mat/9612179.

[120]  S. Mujumdar,et al.  Aerosol-based coherent random laser. , 2012, Optics letters.