The formalism applied to superelastic electron scattering from laser-excited atoms has to date assumed perfect polarization of the laser light. We consider the effects of imperfect polarization, deriving an expression for the superelastic scattering rate from target atoms optically pumped with elliptically polarized light, and show how imperfect polarization effects can be measured and minimize...

The circular polarization and the absolute intensity of the elliptically polarized synchrotron radiation were measured in the VUV range as functions of the wavelength and of the vertical emission angle with respect to the orbit plane of the 2.5 GeV synchrotron in Bonn. In the wavelength range from 100 to 40 nm the absolute intensity and the circular polarization of the radiation with a bandwith...

When linearly polarized light propagates through a medium in which elliptically polarized light would undergo self-rotation, squeezed vacuum can appear in the orthogonal polarization. A simple relationship between self-rotation and the degree of vacuum squeezing is developed. Taking into account absorption, we find the optimum conditions for squeezing in any medium that can produce self-rotatio...

Differential Stark shift compensation for ground-state 87Rb atoms trapped in an elliptically polarized optical lattice and “magic” magnetic field was recently proposed and demonstrated experimentally by N. Lundblad et al. [e-print arXiv:0912.1528] and analyzed theoretically by A. Derevianko [e-print arXiv:0912.3233]. Here we demonstrate enhanced hyperfine coherence times using the magic field t...

Localization of compact invariant sets allows understanding the long-time behavior of a chaotic system. In this paper we apply the solution of the conditional extremum problem to the study of a model of a permanent magnet synchronous motor. The localization set is given by a one-parameter set of ellipsoids, crossed by an elliptical paraboloid and a cylinder. This improves the initial ellipsoida...

The optical theorem is applied to the process of electron-positron pair creation in the superposition of a nuclear Coulomb and a strong laser field. We derive new representations for the total production rate as two-fold integrals, both for circular laser polarization and for the general case of elliptic polarization, which has not been treated before. Our approach allows us to obtain by analyt...

I . I n t r o d u c t i o n A q u e s t i o n a n s w e r i n g sys tem is a compos i te of subsys tems o f l anguage a n a l y s i s , i n f e r e n c e and l anguage g e n e r a t i o n . I n t h e i n f e r e n c e sys tem, a u s e f u l and f l e x i b l e s t r u c t u r e i s needed f o r t h e r e p r e s e n t a t i o n o f know ledge . There a re two ways o f r e p r e s e n t i n g kn...

We theoretically explore a scheme for generation of bright circularly and elliptically polarized high-order harmonics by bursts of linearly polarized pulses with a rotating polarization axis. Circularly polarized harmonics are formed if the bursts are comprised of N pulses that uphold an N-fold rotational symmetry, for N > 2. Rotating the polarization axes of the comprising pulses can generate ...

We study positivity cases, estimates and asymptotic expansions of condenser p-capacities of points and segments in a given bounded domain, having in mind application fields, such as imaging, requiring detection and quantification of zero measure sets. We first establish estimates of capacities when the internal part of the condenser has a non-empty interior. The study of the point and its appro...