Elliptically polarized breather in the nonintegrable problem of laser radiation propagation through an isotropic gyrotropic nonlinear medium

A particular analytical solution to the nonintegrable problem of plane electromagnetic wave propagation through an isotropic gyrotropic nonlinear medium is found in the form of elliptically polarized breather. The intensity ratio for the circularly polarized components of this wave, which remains constant during propagation, can be used to determine the ratio of local and nonlocal nonlinear susceptibilities describing the Kerr nonlinearity and its spatial dispersion.     

Internal rotation and intramolecular hydrogen bonding in thiosalicylamide: gas phase electron diffraction study supported by quantum chemical calculations

Structural Chemistry - The molecular structure of thiosalicylamide (2-hydroxythiobenzamide) was investigated in the gas phase at 401 K by means of gas electron diffraction (GED) combined...     

Mixed iodonium-, phosphonium-, arsonium-, sulfoniumdiazonium ylides in reactions with nucleophiles

Russian Chemical Bulletin - The reactions of mixed ylides containing a diazonium fragment and an "onium" group of different nature with nucleophiles were studied. In the...     

On the quasistatic effective elastic moduli for elastic waves in three-dimensional phononic crystals

Effective elastic moduli for 3D solid–solid phononic crystals of arbitrary anisotropy and oblique lattice structure are formulated analytically using the plane-wave expansion (PWE) method and the recently proposed monodromy-matrix (MM) method. The latter approach employs Fourier series in two dimensions with direct numerical integration along the third direction. As a result, the MM method converges much quicker to the exact moduli in comparison with the PWE as the number of Fourier coefficients increases. The MM method yields a more explicit formula than previous results, enabling a closed-form upper bound on the effective Christoffel tensor. The MM approach significantly improves the efficiency and accuracy of evaluating effective wave speeds for high-contrast composites and for configurations of closely spaced inclusions, as demonstrated by three-dimensional examples.     

Low-Frequency Cutoffs for the Dispersion Spectrum of Elastic Waves in a Thin-Walled Anisotropic Cylinder

A thin-walled cylinder of unrestricted anisotropy is considered. Low-frequency cutoffs corresponding to bending and extension-shear motions of the cylinder mid-surface are investigated. Their explicit approximations are found by two different methods: truncating the Peano series in the exact dispersion relation and using the Kirchhoff-Love theory of shells adapted to a generally anisotropic cylinder.     

Multi-dimensional hydrodynamic code SOVA for interfacial flows: Application to the thermal layer effect

Eulerian, three-dimensional, numerical code, which conserves mass, momentum and energy simultaneously both in the Lagrangian and remap steps, is developed. The use of special form of linear viscosity provides a weaker time step restriction as compared with the Courant condition. The code is designed to investigate the multi-material problems, including dusty flows. The performance of the code is illustrated by the modeling of shock wave interaction with a dusty thermal layer. Received 15 June 1998/ Accepted 6 January 1999     

A new polytype of orthoboric acid,H3BO3‐3T

The crystal structure of H₃BO₃‐3T, a new trigonal polytype of orthoboric acid, consists of sheets of hydrogen‐bonded B(OH)₃ mol­ecules similar to those found in the triclinic structure of orthoboric acid, H₃BO₃‐2A. In each case, van der Waals forces connect the sheets. However, the stacking sequences of the sheets differ between the two polymorphs. In H₃BO₃‐3T (space group P3₂), the sheets are stacked in the repeating sequence ABC…, whereas in H₃BO₃‐2A (space group ), the sheets are stacked in the repeating sequence AB….