Browsing by Author "Lin, TS"

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A simple Dufort-Frankel-type scheme for the Gross-Pitaevskii equation of Bose-Einstein condensates on different geometries
(2004-07-01)
Lai, MC
;
Huang, CY
;
Lin, TS
;
應用數學系
;
Department of Applied Mathematics
We develop a simple Dufort-Frankel-type scheme for solving the time-dependent Gross-Pitaevskii equation (GPE). The GPE is a nonlinear Schrodinger equation describing the Bose-Einstein condensation (BEC) at very low temperature. Three different geometries including 1D spherically symmetric, 2D cylindrically symmetric, and 3D anisotropic Cartesian domains are considered. The present finite difference method is explicit, linearly unconditional stable and is able to handle the coordinate singularities in a natural way. Furthermore, the scheme is time reversible and satisfies a discrete analogue of density conservation law. (C) 2004 Wiley Periodicals, Inc.
Chemical vapor deposition of epitaxial zinc oxide thin films on gallium nitride/sapphire substrates
(2004)
Hou, WC
;
Lin, BW
;
Chang, L
;
Lin, TS
;
Lin, CW
High-quality ZnO thin films were formed on (0002) oriented GaN/sapphire substrates by chemical vapor deposition (CVD) of Zinc acetylacetonate (Zn(C5H7O2)(2)) and oxygen. The surface morphology and crystallinity of the deposited ZnO thin films have been investigated using atomic force microscopy and X-ray diffraction. Low temperature photoluminescence spectra show that there is a sharp band edge emission positioned at 3.37 eV and the deep level emission is hardly seen. High-resolution transmission electron microscopy in cross section shows that ZnO is directly grown on GaN in epitaxy without any interlayer, and the ZnO/GaN interface remains atomically flat. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA. Weinheim.