Abstract The purpose of this paper is to study the behavior magnetohydrodynamic (MHD) wave modes that propagate in compressible magnetic flux tubes with an elliptical cross section embedded a environment. dispersion relation describes MHD permitted tube solved numerically. Distortion spatial structure purely real eigenmodes from well-known circular model has been considered. It studied under bo...

Contents 1. Introduction 2. Electronic states in a weakly oblated ellipsoidal quantum dot (impermeable walls). 3. The model of finite deep rectangular ellipsoidal well 4. Strongly oblated ellipsoidal quantum dot 5. Strongly prolated ellipsoidal quantum dot 6. Electronic states in a cylindrical quantum dot having elliptical lens shaped cross section 7. Electronic states in a cylindrical quantum ...

We consider sharp focusing of a linearly polarized light beam. Using the Richards-Wolf formalism, we show that before and after focal plane there are cross-section regions in which polarization is circular (elliptical). When passing through plane, direction rotation vector reversed. If focus left-hand at definite region beam cross-section, then exactly becomes linear this region, becoming right...