This thesis develops dielectric theory in multilayers and following cases have been considered: - Normal incidence on a multilayered slab with n isotropic layers. - Parallel incidence on a multilayered slab with n isotropic layers. - Normal and parallel incidence on a multilayered with n anisotropic layers, analysed in the non-retarded limit. In each case we have developed the appropriate transfer matrix recurrence relation and solved it exactly, using computer algebra (REDUCE and MATHEMATICA) as an essential guide. For all the problems listed above, we have obtained closed form solutions for the dispersion relations of surface and interface plasmons and for the angle-resolved energy-loss function. The energyloss spectrum is then obtained by integrating over wavevectors. The formulas we have derived are applied to real materials such as Al/Mg, Al/Al203, Al/Si02/Si, diamond and graphite.

In this thesis we report the results of investigations on the rheological response of emulsions to the application of the electric field. A front-tracking finite difference scheme is used in conjunction with Taylor-Melcher leaky dielectric theory to study the problem. The numerical results in different regions of the deformation-circulation map show that the structure formation in regions I and III can be hindered by the hydrodynamic effect. This is opposite to what is observed in the perfect dielectric cases and region II of the map. For perfect dielectric systems, where the electrohydrodynamics effects are absent, droplets form chain-like structures spanning the distance between the electrodes after the application of the electric field. Subsequently, the chains interact with each other to form columns comprising two or more chains. Point-dipole approximation is used to analyze the structure formation and it is shown that it is also applicable to region II where the hydrodynamic effect is weak and the behavior of the system is mainly governed by the dielectrophoretic forces. It is shown that the chain formation is not possible in regions I and III due to the competition between the dipolar force and torque on one side and hydrodynamic effect on the other side. In region I, the hydrodynamic torque prevents the chain formation by competing with the dipolar torque, which tends to align the drops with the electric field. On the other hand, in region III, the repulsive nature of the hydrodynamic effect opposes the attractive dipolar force and does not allow the particles to form stable chains.

abstract: Recent improvements in energy resolution for electron energy-loss spectroscopy in the scanning transmission electron microscope (STEM-EELS) allow novel effects in the low-loss region of the electron energy-loss spectrum to be observed. This dissertation explores what new information can be obtained with the combination of meV EELS energy resolution and atomic spatial resolution in the STEM. To set up this up, I review nanoparticle shape effects in the electrostatic approximation and compare the “classical” and “quantum” approaches to EELS simulation. Past the electrostatic approximation, the imaging of waveguide-type modes is modeled in ribbons and cylinders (in “classical" and “quantum" approaches, respectively), showing how the spatial variations of such modes can now be imaged using EELS. Then, returning to the electrostatic approximation, I present microscopic applications of low-loss STEM-EELS. I develop a “classical” model coupling the surface plasmons of a sharp metallic nanoparticle to the dipolar vibrations of an adsorbate molecule, which allows expected molecular signal enhancements to be quantified and the resultant Fano-type asymmetric spectral line shapes to be explained, and I present “quantum” modelling for the charged nitrogen-vacancy (NV-) and neutral silicon-vacancy (SiV0) color centers in diamond, including cross-sections and spectral maps from density functional theory. These results are summarized before concluding. Many of these results have been previously published in Physical Review B. The main results of Ch. 2 and Ch. 4 were packaged as “Enhanced vibrational electron energy-loss spectroscopy of adsorbate molecules” (99, 104110), and much of Ch. 5 appeared as “Prospects for detecting individual defect centers using spatially resolved electron energy loss spectroscopy” (100, 134103). The results from Ch. 3 are being prepared for a forthcoming article in the Journal of Chemical Physics. / Dissertation/Thesis / Doctoral Dissertation Physics 2020