Anderson localization of surface plasmons and nonlinear optics of metal-dielectric composites
- 15 December 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 60 (24), 16389-16408
- https://doi.org/10.1103/physrevb.60.16389
Abstract
A scaling theory of local-field fluctuations and optical nonlinearities is developed for random metal-dielectric composites near a percolation threshold. The theory predicts that in the optical and infrared spectral ranges the local fields are very inhomogeneous and consist of sharp peaks representing localized surface plasmons. The localization maps the Anderson localization problem described by the random Hamiltonian with both on- and off-diagonal disorder. The local fields exceed the applied field by several orders of magnitudes resulting in giant enhancements of various optical phenomena. The developed theory quantitatively describes enhancement in percolation composites for arbitrary nonlinear optical process. It is shown that enhancement strongly depends on whether a nonlinear multiphoton scattering includes the act of photon subtraction (annihilation). The magnitudes and spectral dependencies of enhancements in optical processes with photon subtraction, such as Raman and hyper-Raman scattering, Kerr refraction, and four-wave mixing, are dramatically different from those in processes without photon subtraction, such as in sum-frequency and high-harmonic generation. At percolation, a dip in dependence of optical processes on the metal concentration is predicted.Keywords
This publication has 75 references indexed in Scilit:
- Nonlinear optics of random metal-dielectric filmsPhysical Review B, 1998
- The effective medium approximations: Some recent developmentsSuperlattices and Microstructures, 1998
- Third-order optical nonlinearity enhancement through composite microstructuresJournal of the Optical Society of America B, 1998
- Electromagnetic properties of small-particle compositesPhysics Reports, 1996
- Intrinsic optical bistability and resonances in nonlinear compositesPhysica A: Statistical Mechanics and its Applications, 1994
- Theory of optical bistability in a weakly nonlinear composite mediumPhysical Review B, 1994
- Dielectric constant of quasi-critical percolation systemsJournal of Physics: Condensed Matter, 1991
- Nonlinear behavior and 1/fnoise near a conductivity threshold: Effects of local microgeometryPhysical Review B, 1989
- Nonlinear susceptibilities of granular matterPhysical Review B, 1988
- Crossover from linear to nonlinear resistance near percolationPhysical Review Letters, 1987