Abstract As a nonrelativistic particle constrained to remain on an ( N ? 1)-dimensional (( ? 2)) hypersurface embedded in -dimensional Euclidean space, two different components p i and j i, = 1, 2, 3,… ) of the Cartesian momentum are not mutually commutative, explicitly commutation relations <mml:math xmlns:mml="http://www.w3.org/1998/...

Сreation of indoor lighting systems with the possibility changing its parameters in space and time is a promising direction within framework intellectual environment system. The aim this work was to create methodology for calculating illumination created by LED matrices which does not require use specialized software products adapted varying LEDs illuminated rooms. urgency creating room system ...

A mathematical model of erythrocyte lysis in isotonic solution of ammonium chloride is presented in frames of a statistical approach. The model is used to evaluate several parameters of mature erythrocytes (volume, surface area, hemoglobin concentration, number of anionic exchangers on membrane, elasticity and critical tension of membrane) through their sphering and lysis measured by a scanning...

The present study is objected to develop an analytical remote optical diagnostics of the functionalized carbons surface. Carbon composites with up to 1 mmol g-1 of irreversibly adsorbed bromine were produced by the room temperature plasma treatment of an activated carbon fabric (ACF) derived from polyacrylonitrile textile. The brominated ACF (BrACF) was studied by elastic optical scattering ind...

Single crystals of germanium double salt (NH4)3GeF7 = (NH4)2GeF6·NH4F = (NH4)3[GeF6]F were grown and studied by the methods of polarization optics and X-ray diffraction. The birefringence Δn = (no - ne), the rotation angle of the optical indicatrix ϕ(T) and unit cell parameters were measured in the temperature range 100-400 K. Three structural phase transitions were found at the temperatures: T...

The object of this talk is to illustrate the usefulness of symplectic geometry in understanding new features of geometrical optics for spinning light in refractive media, e.g., the subtle transverse shift of light beams across an interface, which has been coined the Spin Hall Effect of Light [1]. We reformulate Fermat’s principle to describe spinning light rays in Riemannian three-manifolds, (M...

IT is well known that the Betti numbers of any fiber p1 (~) of a polynomial mapping p: R" ~ R TM are bounded by some constants, depending only on n, m and the degree ofp (see e.g. [7] ). Now let f be a k times differentiable mapping of a bounded domain, with all the derivatives of order k bounded by a constant Mk. We can think of Mk as a measure of the deviation o f f from a polynomial mapping ...

The ability to register and analyze the spatial distribution of light scattered within full solid angle is basis for development improvement information-measuring systems software hardware complexes problems optical biomedical diagnostics. greatest contribution scattering at non-invasive methods research are made by layers human skin, affecting depth probing resolution diagnostic systems. signi...

The concept of Yb-doped double tungstate microchip lasers is verified and scaled to the multi-watt power level. The active element is a 2.6 mm-thick Yb:KLuW crystal cut along the Ng optical indicatrix axis. Maximum continuous-wave output power of 4.4 W is extracted at 1049 nm with a slope efficiency of 65% and an optical-to-optical efficiency of 44% with respect to the absorbed pump power. The ...