arXiv subjects

E. Turska

Publications and source records attributed to E. Turska.

2 recordsLinked to original sources

arXiv2003

Non-Linear Phenomena in Dusty Plasmas

The main objective of the paper is to determine asymptotic solutions to the initial-value conditions for Vlasov-Ampere/Gauss system of equations that is to find the "far field" solutions. Next, we determine dispersion relations for longitudinal waves (DAW and DIAW) by use of the linearized Vlasov equations. In case of simplified equilibrium velocity distributions but for fully nonlinear plasmas, we determine velocity distributions and by use of Sagdeev potential equations, we compute the solitary and double layer structures for a set of dusty plasma parameters. By use of Sagdeev potential, we determine the electrical capacity of plasma double layers.

physics.plasm-ph↗

arXiv2002

Fractional Derivative Analysis of Helmholtz and Paraxial-Wave Equations

Fundamental rules and definitions of Fractional Differintegrals are outlined. Factorizing 1-D and 2-D Helmholtz equations four fractional eigenfunctions are determined. The functions exhibit incident and reflected plane waves as well as diffracted incident and reflected waves of the half-plane edge. They allow to construct the Sommerfeld half-plane diffraction solutions. Parabolic-Wave Equation (PWE, Leontovich-Fock) for paraxial propagation is factorized and differetial fractional solutions of Fresnel-integral type are derived. We arrived at two solutions, which are the mothers of known and new solutions.

physics.optics↗