The vector potentials are selected in the transverse plane normal to the air and dielectric interface and are expanded in terms of a set of rectangular orthogonal functions. Enforcing the field boundary conditions on the perfectly conducting boundary and on the air/dielectric media interface, the ...
. Components of in Rectangular and Cylindrical Coordinates The rate of deformation is important in characterizing flows. As described earlier, material properties like viscosity can depend on the rate of deformation. Various forms for simple deformation in basic orthogonal coordinate systems can be ...
1. A method for performing dequantization on a rectangular block of quantized transform coefficients, the method comprising: receiving a W×H block of quantized transform coefficients, wherein W is a row width of the block and H is a column height of the block; applying dequantization processin...
BagleyDepartment of Physics and Astronomy, University of Toledo, Toledo, OH 43606, USAReceived 8 January 2001; accepted 1 February 2002AbstractWe calculate the loss induced in a single-mode rectangular optical waveguide by the presence of a second waveguide, perpendicular tothe ?rst, which crosses...
where u represents the displacement vector, k the wavenumber, ω the frequency, x the spatial coordinate, t the time and U the amplitude of the displacement in the transverse direction of the waveguide. Equation (2) is the Cauchy equation, which governs the static equilibrium in a domain Ω...
In addition, unique surface effects were incorporated into the fluid element, represented by gravity springs. To accomplish this, springs were added to each node and positioned at the top of the element with positive constants. The springs have positive stiffness at the top nodes, while the ...
(a) Simulation box consists of a rectangular duct with the cross-sectional dimensions W = 50 µm, H = 25 µm and length of LC = 150 µm; channel walls move with the speed of −Up while the particle has angular velocity vector of Ω. (b) Domain mesh (inlet and interior ...
In addition, the ISBM method necessitates the mesh generation and the numerical integration. Thus, the analytical model is much easier to use than the ISBM method. Further, the advantages of the corrected plane wave model over the ISBM approach are that it is presented in no condition to the...
A novel approach is proposed here based on a combination of the generalized differential quadrature (GDQ) method and finite elements (FEs), labeled here as the FE-GDQ method, while assuming a Biot’s constitutive law in lieu of the classical elasticity relations. A parametric study is performed...
For such matrices, the components of the eigenfunctions are Gaussian distributed, which is a property that is a consequence of the uniform distribution of the eigenfunction vector over the surface of the N-dimensional sphere with N ≫ 1 𝑁≫1. It can be seen that in this case, the ...