Nonstatic quantum light waves arise in time-varying media general. However, from a recent report, it turned out that nonstatic can also appear static environment where the electromagnetic parameters of medium do not vary time. Such Fock states exhibit belly and node turn periodically graphic their evolution. This is due to wave expansion collapse quadrature space, which manifest unique nonstati...

The spectral decomposition of the elastic wave operator in a layered isotropic half-space is derived by means of standard functional analytic methods. Particular attention is paid to the coupled P-SV waves. The problem is formulated directly in terms of displacements which leads to a 2 × 2 Sturm-Liouville system. The resolvent kernel (Green function) is expressed in terms of simple plane-wave s...

The snapshot form of the Karhunen-Loeve (K-L) expansion has been applied to twodimensional, two-component hot-wire data from the region of a weakly perturbed free shear layer that includes the first pairing process. Low-level external perturbation was provided by a loudspeaker driven by a computer-generated signal composed of two sine waves of equal amplitude at the frequencies of the naturally...

0885–3010/$25.00 © 2014 IEEE Abstract—Across a range of spectral estimation problems and beam focusing problems, it is necessary to constrain the properties of a function and its Fourier transform. In many cases, compact functions in both domains are desired, within the theoretical bounds of the uncertainty principle. Recently, a hyperbolic sine function of modified argument and power was found...

A numerical solution procedure combining several weighted residual methods and based on global trial function expansion is developed to solve a model for the steady state gas ow eld and temperature distribution in a low-pressure chemical vapor deposition reactor. The enthalpy ux across wafer/gas boundary is calculated explicitly and is found to vary signi cantly as a function of wafer position....

In this paper we formulate the equilibrium equation for a beam made of graphene subjected to some boundary conditions and acted upon by axial compression and nonlinear lateral constrains as a fourth-order nonlinear boundary value problem. We first study the nonlinear eigenvalue problem for buckling analysis of the beam. We show the solvability of the eigenvalue problem as an asymptotic expansio...

ONE OF the principal merits of the singular-eigenfunction-expansion technique, introduced initially by CASE(‘) in regard to one-speed neutron transport theory, is the systematic and classical manner in which solutions to boundary-value problems in particle transport theory are constructed. In general, we first construct a sufficiently general set of solutions, denoted as normal modes, to the ho...