Moment method analysis of charge distribution & capacitance for the dielectric coated tilted plates isolated in free space

This paper presents a method for the evaluation of the capacitance of the dielectric coated metallic plates forming a corner using the method of moments based on the pulse basis function and the point matching. Two integral equations are formed based on the boundary conditions for the potential on the conductor surface and continuity of the normal component of the displacement flux density at the dielectric-free space interface. A set of simultaneous equations are formed from the two integral equations using the method of moments. The total free charge on the conductor surface is found from the solution of the set of simultaneous equations. Numerical data on the capacitance and the charge distribution are presented. The validity of the analysis has been justified by comparing the data on the capacitance that is available in the literature for a metallic structure with the data on the capacitance computed with the present method for a similar structure considering a very low dielectric constant as well as a very thin dielectric coating. Further validation has been carried out by comparing the capacitance data of the specific case when the angle between two metallic plates is 180° forming a dielectric coated metallic rectangular plate for which the capacitance data are available in the literature.     

线电荷与介质圆柱所形成的电场

在线电荷电场的电势调和展开式的基础上,得出线电荷电场内存在介质圆柱时电势的级数解.并以此来分析长直线电荷与介质圆柱所形成的电场的电像,从而给出电势与电像有关的解析表达式,进一步得出等势线(面)与电场线方程,并利用软件MATLAB绘制出电场线和等势线图予以验证.     

圆柱形人造原子的能级结构及电子几率密度分布

通过求解定态薛定格方程得到了园柱形人造原子的能级结构,进而求出了电子几率密度的分布。计算结果表明,电子被束缚在园柱内的条件与位阱深度Ｖ０及园柱的园柱的结构参数有关。当园柱的高ｈ＝４．００ｎｍ,半径α＝２．７５ｎｍ时,要求Ｖ０≥４．７４ｍｅＶ。在ｚ－轴方向上的电子几率密度分布是以ｈ／２为对称中心周期震荡,并且柱体内外的电子几率的大小是可比较的;而在ｘ－ｙ平面上的电子几率密度分布类似于氢原子,并且柱外     

Study of the In2O3 molecule in the free state and in the crystal

ABSTRACT

The nanomaterials based on the In₂O₃ molecule are widely used as catalysts and sensors among other applications. In the present study, we discuss the possibility of using nanoclusters of In₂O₃ as molecular photomotors. A comparative analysis of the electronic structure of the In₂O₃ molecule in the free state and in the crystal is performed. For the free In₂O₃ molecule the geometry of its lowest structures, V-shape and linear, was optimised at the CCSD(T) level, which is the most precise computational method applied up to date to study In₂O₃. Using experimental crystallographic data, we determined the geometry of In₂O₃ in the crystal. It has a zigzag, not symmetric structure and possesses a dipole moment with magnitude slightly smaller than that of the V-structure of the free molecule (the linear structure due to its symmetry has no dipole moment). According to the Natural Atomic population analysis, the chemical structure of the linear In₂O₃ can be represented as O = In?O?In = O; the V-shaped molecule has the similar double- and single-bond structure. The construction of nanoclusters from ?bricks? of In₂O₃ with geometry extracted from crystal (or nanoclusters extracted directly from crystal) and their use as photo-driven molecular motors are discussed.     

Evolution of emergent C-points, L-lines, and C-lines in free space

Polarization singularities,which emerge from the incoherent superposition of two vector electric fields with the same frequency,and their evolution in free space are studied analytically and illustrated by numerical examples.It is shown that there exist C-points,L-lines,in particular,C-lines in incoherently superimposed two-dimensional wavefields.Usually,the C-lines are unstable and disappear during the free-space propagation.The motion,pair creation-annihilation process of the emergent C-points,as well as the distortion of the L-lines may take place,and the degree of polarization of the emergent C-points varies upon propagation and may be less than 1.