The propagation and scattering of electromagnetic waves in dielectric media is theoretical experimental interest a wide variety fields. An understanding observational results generally requires numerical solution Maxwell equations---usually implemented on conventional computers using sophisticated algorithms. In recent years, advances quantum information science the development have piqued curi...

Abstract The paper presents analytical approach to electrostatic field for dielectric spheroids problem. For both oblate and prolate fields distributions are derived. variable separation method is applied. Electrostatic force evaluated with the help of Maxwell stress tensor generalized method, material density, coenergy equivalent dipole. Levitation forces versus axis permittivities height pres...

a projective parameter of a geodesic as solution of certain ode is defined to be a parameter which is invariant under projective change of metric. using projective parameter and poincaré metric, an intrinsic projectively invariant pseudo-distance can be constructed. in the present work, solutions of the above ode are characterized with respect to the sign of parallel ricci tensor on a finsler s...

In this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of Hilbert $C^ast-$ modules and vice versa, then we consider tensor products of g-Bessel multipliers, Bessel multipliers and Bessel fusion multipliers in Hilbert $C^ast-$modules. Moreover, we obtain so...

The analysis of Cartesian Perfectly Matched Layers (PMLs) in the context time-domain electromagnetic wave propagation a 3D unbounded anisotropic homogeneous medium modelled by diagonal dielectric tensor is presented. Contrary to scalar equation or 2D Maxwell’s equations some anisotropies lead existence backward waves giving rise instabilities PMLs. Numerical experiments confirm presented result.

We explain the Lorentz resonances in plasmonic crystals that consist of two-dimensional nano-dielectric inclusions as interaction between resonant material properties and geometric electrostatic nature. One example such are graphene nanosheets periodically arranged within a non-magnetic bulk dielectric. identify local on length scale small-scale period. From materials perspective, surface exhib...

‎We consider Albeverio's linear representations of the braid groups $B_3$ and $B_4$‎. ‎We specialize the indeterminates used in defining these representations to non zero complex numbers‎. ‎We then consider the tensor products of the representations of $B_3$ and the tensor products of those of $B_4$‎. ‎We then determine necessary and sufficient conditions that guarantee the irreducibility of th...

in this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of hilbert $c^ast-$ modules and vice versa, then we consider tensor products of g-bessel multipliers, bessel multipliers and bessel fusion multipliers in hilbert $c^ast-$modules. moreover, we obtain so...

consider the following consistent sylvester tensor equation[mathscr{x}times_1 a +mathscr{x}times_2 b+mathscr{x}times_3 c=mathscr{d},]where the matrices $a,b, c$ and the tensor $mathscr{d}$ are given and $mathscr{x}$ is the unknown tensor. the current paper concerns with examining a simple and neat framework for accelerating the speed of convergence of the gradient-based iterative algorithm and ...