Abstract
Controlling the flow of light at subwavelength scales provides access to functionalities such as negative or zero index of refraction, transformation optics, cloaking, metamaterials and slow light, but diffraction effects severely restrict our ability to control light on such scales. Here we report the photon transport and collimation enhanced by transverse Anderson localization in chip-scale dispersion-engineered anisotropic media. We demonstrate a photonic crystal superlattice structure in which diffraction is nearly completely arrested by cascaded resonant tunnelling through transverse guided resonances. By modifying the geometry of more than 4,000 scatterers in the superlattices we add structural disorder controllably and uncover the mechanism of disorder-induced transverse localization. Arrested spatial divergence is captured in the power-law scaling, along with exponential asymmetric mode profiles and enhanced collimation bandwidths for increasing disorder. With increasing disorder, we observe the crossover from cascaded guided resonances into the transverse localization regime, beyond both the ballistic and diffusive transport of photons.
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Acknowledgements
We acknowledge discussions with M. Weinstein, S. Kocaman and C-T. Chen. We also thank S-N. Chiu for the data analysis. This work is supported by the Office of Naval Research under M. F. Shlesinger (N00014-14-1-0041) and the Studying Abroad Scholarship by the Department of Education in Taiwan. This work is also supported by NSF Division of Materials Research (1108176) and EPSRC EP/G030502/1. The electron-beam lithography carried out at the Brookhaven National Laboratory is supported by the US Department of Energy, Office of Basic Energy Sciences, under Contract No. DE-AC02-98CH10886. The authors acknowledge the use of the UCL Legion High Performance Computing Facility (Legion@UCL) and associated support services in the completion of this work.
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P.H., N.C.P. and C.W.W. conceived the project. P.H. designed the photonic superlattices and performed numerical simulations, sample nanofabrication, measurements and image analysis. C.C. and M.L. performed the electron-beam lithography, and C.C. carried out focused ion beam imaging. J.F.M. performed the far-field and group velocity measurements. M.T. prepared the NSOM probes. N.C.P. designed the photonic superlattices and performed the theoretical analysis and FDTD numerical simulations. P.H., N.C.P. and C.W.W. wrote the manuscript, which all authors discussed.
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Hsieh, P., Chung, C., McMillan, J. et al. Photon transport enhanced by transverse Anderson localization in disordered superlattices. Nature Phys 11, 268–274 (2015). https://doi.org/10.1038/nphys3211
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DOI: https://doi.org/10.1038/nphys3211
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