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Articles 1 - 4 of 4
Full-Text Articles in Physical Sciences and Mathematics
Silcom Quantum Walls: Fabrication And Opticla Analysis, An-Shyang Chu
Silcom Quantum Walls: Fabrication And Opticla Analysis, An-Shyang Chu
Physics & Astronomy ETDs
The fabrication and optical analysis of well-defined Si quantum walls (periodic slabs) are presented. Using a unique combination of interference lithography and wet-chemical KOH etching, vertically-standing, periodic Si rectangular slabs are fabricated with a slab thickness ranging from a few nm to ~ 200 nm. Each slab has its three principal axes in the,anddirection, and each slab surfaces is extended in the-plane and normal to thedirection. These samples are used to study the effects of the size confinement on the crystal properties of Si. Raman scattering experiment is carried out because the scattering of the phonons is highly dependent on …
Design Of A Device Independent Computer Graphic Software Package, An-Shyang Chu
Design Of A Device Independent Computer Graphic Software Package, An-Shyang Chu
Physics & Astronomy ETDs
The fabrication and optical analysis of well-defined Si quantum walls (periodic slabs) are presented. Using a unique combination of interference lithography and wet-chemical KOH etching, vertically-standing, periodic Si rectangular slabs are fabricated with a slab thickness ranging from a few nm to ~ 200 nm. Each slab has its three principal axes in the <110>, <112> and <111> direction, and each slab surfaces is extended in the <110>-<112> plane and normal to the <111> direction. These samples are used to study the effects of the size confinement on the crystal properties of Si. Raman scattering experiment is carried out because the scattering of …
An Efficient Spectral Method For Ordinary Differential Equations With Rational Function Coefficients, Evangelos A. Coutsias, Thomas Hagstrom, David Torres
An Efficient Spectral Method For Ordinary Differential Equations With Rational Function Coefficients, Evangelos A. Coutsias, Thomas Hagstrom, David Torres
Branch Mathematics and Statistics Faculty and Staff Publications
We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of orthogonal polynomial families, including all the classical orthogonal polynomials. These families obey a simple 3-term recurrence relation for differentiation, which implies that on an appropriately restricted domain the differentiation operator has a unique banded inverse. The inverse is an integration operator for the family, and it is simply the tridiagonal coefficient matrix for the recurrence. Since in these families convolution operators (i.e., matrix representations of multiplication by a function) are banded for …
Mathematical Rebuses, Florentin Smarandache
Mathematical Rebuses, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
No abstract provided.