The Ray Scattering Spectral Reflectance Model for Coloring Images

we proposed a model for reflectance of a medium in ink layer. And the scattering coefficient is more complicated than the refractive index and absorption coefficient due to its complicated scattering laws and multi-direction, and the multi-direction makes different scatting coefficients in different situation. The goal of the work proposed in this dissertation is to develop a new method to analysis the scattering situation using random walk. By analysis the probability of the scattering of the particle, we obtain the reflectance factors of the diffusing medium with the observation geometry. The present model enables one to predict the reflection spectrum of a particle medium, then to estimate the color and brightness.

A SIMPLE HAMILTONIAN MODEL OF RUNAWAY PARTICLE WITH SINGULAR INTERACTION

We consider a Hamiltonian system given by a charged particle under the action of a constant electric field and interacting with a medium, which is described as a Vlasov fluid. We assume that the action of the charged particle on the fluid is negligible and that the latter has one-dimensional symmetry. We prove that if the singularity of the particle/medium interaction is integrable and the electric field intensity is large enough, then the particle escapes to infinity with a quasi-uniformly accelerated motion. A key tool in the proof is a new estimate on the growth in time of the fluid particle velocity for one-dimensional Vlasov fluids with bounded interactions.

Dielectric and Rheological Behaviors of Semiconductive Polymer Suspension as an Electrorheological Fluid

We have studied the dielectric and rheological characteristics of semiconductive polymer based ER fluids. Under static electric field, yield stress of suspension was found to be closely related to the dielectric properties that is in accord with the Maxwell–Wagner interfacial polarization. The dielectric constant showed maximum then decreased with increasing bulk conductivity of particle as the yield stress behaviors did. Particle-medium interaction on ER response was also examined by utilizing appropriate surfactant. These experimental results were consistent with the prediction based on the recent model studies. Over wide range of temperature, our ER fluid maintains its activity so that it can broaden the potential applicability as a smart material.

Effect of Conductivity on Magneto-Gravitational Instability and Suspended Particles

The self gravitational instability of an infinite homogeneous magnetized gas-particle medium in the presence of suspended particles is investigated. The conductivity of the medium is assumed to be finite. The dispersion relation is obtained for such a medium. It is found that in the presence of suspended particles a sufficient condition of instability is obtained by Jeans’ criterion for a self gravitating magnetized conducting gas-particle medium.