The probability of occurrence of random cavities' resonance frequency in the Stokes bandwidth of the Raman active medium can cause Raman laser oscillation in the random structures. Due to the small bandwidth of Raman line shape, the probability of the simultaneous appearance of random cavity resonance frequencies in the cascade Stokes line shapes is small. As a result, the cascade Raman laser oscillation effects on the saturation behavior are negligible. The nonlinear transmission matrix method is employed to determine the statistical behavior of a Raman random laser. Our results showed that the statistical behavior depends on the position of the Stokes line shape relative to the center of the stopband and the edge of the passband of the corresponding nondisorder system.
Graphene is a two-dimensional material that has attracted a lot of attention due to the excitation of surface plasmons in the mid-infrared region. In this letter, we present the emergence of Anderson localization of propagating surface plasmon in a monolayer of graphene imbedded on a silicon random grating nanostructure. Several new localized graphene surface plasmon (GSP) modes with higher intensity and quality factor occur with respect to corresponding modes in the periodic substrate structure. Although tuning the resonance wavelengths belonging to Anderson localized GSPs is a difficult task due to its random nature, here we tune these wavelengths by adjusting the Fermi energy of the monolayer graphene.
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