Dielectric microcavities based on cylindrical and deformed cylindrical shapes have been employed as resonators for microlasers. Such systems support spiral resonances with finite momentum along the cylinder axis. For such modes the boundary conditions do not separate and simple TM and TE polarization states do not exist. We formulate a theory for the dispersion relations and polarization proper...

The three main methods to implement molecular polarization (point dipoles, fluctuating charges, and shell model) are tested against high level ab initio calculations for a molecule (water, carbon tetrachloride) close to a point charge (at the distance of a lithium or magnesium ion). The goal is to check whether an approximation (linear polarization) strictly valid at large intermolecular distan...

Abstract In this work, we derive two formulas encoding the polarization direction and luminosity of synchrotron radiations from moving electrons in curved spacetime under geometric optics approximation. As an application, further study polarized images electron sources Schwarzschild black hole with a vertical uniform magnetic field. particular, by focusing on circular orbits equatorial plane, s...

Polarization for Au/Pb(Zr Ti )O /YBa Cu O ferroelectric capacitor has been studied and measured by pulse method. A sequence of pulses with amplitudes varying from 0 to 10 volts in 2 volt steps is applied and a conventional polarization curve is obtained by integrating the charge flow from the polarization switching induced by the voltage ramp. A value of 25?C/cm2 is measured for the satur...

Piezoelectric (strain) coefficients dij of quartz are calculated in terms of molecular dynamics as a function of pressure and temperature. We review the necessary formulas for the computation of electromechanical materials coefficients obtained at constant stress and temperature, and discuss how to overcome complications of the definition of polarization variations due to fluctuating box geomet...

This paper consists of two parts. First, a review of classical mixing principles lists the multitude of the various ways to characterize the effective permittivity of heterogeneous materials. Different connections between the various mixing formulas are underlined and the homogenization principles are classified into families of mixing rules. The second part emphasizes and analyzes the richness...

In the gauge-mediated supersymmetry breaking models with scalar tau as the next-to-lightest supersymmetric particle, a scalar lepton may decay dominantly into its superpartner, tau lepton, and the lightest scalar tau particle through l̃ → lτ±τ̃ 1 . We give detailed formulas for the three-body decay amplitudes and the polarization asymmetry of the outgoing tau lepton . We find that the tau polariz...

1. Maxwell’s equations 1 1.1. General case 2 1.2. Maxwell equations in integral form 3 1.3. Boundary conditions at a surface of discontinuity 4 1.4. Maxwell’s equations in the absence of charges 7 1.5. The wave equation 7 1.6. Dispersion equation 8 1.7. Plane waves 8 2. Fresnel formulas 9 2.1. Rewriting the Fresnel Equations 12 2.2. The Poynting vector 12 2.3. Polarization 13 2.4. Estimation of...

Various methods of obtaining longitudinally polarized positrons for future linear col-liders are reviewed. Special attention is paid to the schemes using circularly polarized high-energy photons for positron production. Most effectively such photons are obtained from electrons passing through a helical undulator or colliding with a circularly polarized laser wave. Spectrum and polarization of r...