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2006

University of Central Florida

Mathematical

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Optical Breathers In Nonlinear Anisotropic And Dispersive Media, G. T. Adamashvili, D. J. Kaup Jan 2006

Optical Breathers In Nonlinear Anisotropic And Dispersive Media, G. T. Adamashvili, D. J. Kaup

Faculty Bibliography 2000s

Anisotropic crystals containing impurity atoms, when the principal optical axis of the uniaxial crystal and the vector of electrical dipole moment of the impurity atoms are perpendicular to each other and are directed along different crystallographic axes, are shown to have three different mechanisms of the formation of breathers depending on the direction of the wave propagation and on the symmetry of the medium. Explicit analytic expressions for the parameters of breathers and the effective nonlinear susceptibilities for extraordinary waves are obtained. All uniaxial crystals with quadratic susceptibilities can be divided into three different groups, according to the crystal classes. …


Near-Field Characterization Of Effective Optical Interfaces, A. Apostol, D. Haefner, A. Dogariu Jan 2006

Near-Field Characterization Of Effective Optical Interfaces, A. Apostol, D. Haefner, A. Dogariu

Faculty Bibliography 2000s

The properties of many heterogeneous media depend on both the surface roughness and the local variations of the optical properties. An effective optical interface is usually invoked to describe the characteristics of such media. Using approaches specific to near-field optics, the two influences can be decoupled and a quantitative assessment of their contributions can be performed. It is also shown that a discrete random-walk model can be used to determine the magnitude of the dielectric constant fluctuations at subwavelength scales which, in turn, describe the morphology of optically inhomogeneous media.


Thermomechanical Oscillations In Hybrid Nematic Liquid Crystals, R. S. Hakobyan, G. L. Yesayan, B. Ya. Zeldovich Jan 2006

Thermomechanical Oscillations In Hybrid Nematic Liquid Crystals, R. S. Hakobyan, G. L. Yesayan, B. Ya. Zeldovich

Faculty Bibliography 2000s

Thermomechanical oscillations observed previously in hybrid oriented nematic liquid crystals (NLCs) are explained theoretically. The effect is conditioned by the hydrodynamic flow tendency to reduce the curvature of the "flexible ribbon" of hybrid NLCs. There is qualitative agreement between the theoretical calculations and the experimental results.


Method Of Images In Optical Discrete Systems, Konstantinos G. Makris, Demetrios N. Christodoulides Jan 2006

Method Of Images In Optical Discrete Systems, Konstantinos G. Makris, Demetrios N. Christodoulides

Faculty Bibliography 2000s

We show that optical wave propagation in discrete boundary geometries can be effectively analyzed using the method of images. Such semi-infinite and finite discrete systems include, for example, waveguide arrays as well as coupled resonator optical waveguides. In the linear domain, the diffraction properties of one- and two-dimensional bounded array structures are considered in detail. The possibility of using the method of images to numerically investigate nonlinear semi-infinite lattices is also discussed.


Enhanced Photonic Band Edge Laser Emission In A Cholesteric Liquid Crystal Resonator, Ying Zhou, Yuhua Huang, Zhibing Ge, Liang-Pin Chen, Qi Hong, Thomas X. Wu, Shin-Tson Wu Jan 2006

Enhanced Photonic Band Edge Laser Emission In A Cholesteric Liquid Crystal Resonator, Ying Zhou, Yuhua Huang, Zhibing Ge, Liang-Pin Chen, Qi Hong, Thomas X. Wu, Shin-Tson Wu

Faculty Bibliography 2000s

A highly efficient photonic band edge dye-doped cholesteric liquid crystal (CLC) laser is demonstrated. By sandwiching an active CLC cell within a resonator consisting of two passive CLC reflectors, the lasing efficiency is dramatically enhanced. Theoretical analysis using the improved 4x4 transfer matrix and scattering matrix shows that the band edge laser mode can be supported by the external CLC resonator and its optimal output can be achieved by a relatively thin active CLC layer and thin passive CLC reflectors. Theoretical analysis agrees well with the experimental results.