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- W902100055 abstract "Spatial solitary waves in colloidal suspensions of spherical dielectric nanoparticles are considered. If a laser light beam passes through a colloidal suspension, which consists of spherical dielectric nanoparticles, then the light beam will attract the nanoparticles, increasing the refractive index and creating an optical spatial soliton. Both the one-dimensional and two-dimensional solitary waves are considered with the hard disk and hard sphere theoretical models discussed together with results for a temperature dependent model. The interaction between the colloidal particles in the classical hard disk and sphere models are repulsive and for the temperature dependent model, the interaction between the particles can represent repulsive or attractive interactions. The interaction, or compressibility, of the colloidal particles, is modelled using a series in the particle density, or packing fraction, where the virial (or series) coefficients depend on the type of interaction model. Experimental results show that particle interactions can be temperature dependent and repulsive or attractive in nature, so we model the second virial coefficient using a physically realistic temperature power law. Semi-analytical solitary waves, for one-dimensional and two-dimensional cases, are derived using an averaged Lagrangian and suitable trial functions for the solitary waves. Power versus propagation constant curves and neutral stability curves are obtained for both cases, which illustrate that multiple solution branches occur for the one-dimensional and two-dimensional cases. For the one-dimensional case, it is found that three solution branches (with a bistable regime) occur, while for the two-dimensional case, two solution branches (with a single stable branch) occur in the limit of low background packing fractions. The temperature dependent properties result in changes to the stability of the solitary waves, which are fully explored. We also consider the diffraction of an optical beam in a colloidal media, for which an initial jump, or discontinuity, is resolved into a dispersive shock wave. The onedimensional semi-analytical colloidal solitary wave solutions are used together with con-" @default.
- W902100055 created "2016-06-24" @default.
- W902100055 creator A5067809205 @default.
- W902100055 date "2014-01-01" @default.
- W902100055 modified "2023-09-27" @default.
- W902100055 title "Solitary waves in colloidal media" @default.
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- W902100055 hasPublicationYear "2014" @default.
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