Gaussian beams in inhomogeneous media: A review

The paper outlines the most important results of the paraxial complex geometrical optics (CGO) in respect to Gaussian beams diffraction in the smooth inhomogeneous media and discusses interrelations between CGO and other asymptotic methods, which reduce the problem of Gaussian beam diffraction to the solution of ordinary differential equations, namely: (i) Babich’s method, which deals with the abridged parabolic equation and describes diffraction of the Gaussian beams; (ii) complex form of the dynamic ray tracing method, which generalizes paraxial ray approximation on Gaussian beams and (iii) paraxial WKB approximation by Pereverzev, which gives the results, quite close to those of Babich’s method. For Gaussian beams all the methods under consideration lead to the similar ordinary differential equations, which are complex-valued nonlinear Riccati equation and related system of complex-valued linear equations of paraxial ray approximation. It is pointed out that Babich’s method provides diffraction substantiation both for the paraxial CGO and for complex-valued dynamic ray tracing method. It is emphasized also that the latter two methods are conceptually equivalent to each other, operate with the equivalent equations and in fact are twins, though they differ by names. The paper illustrates abilities of the paraxial CGO method by two available analytical solutions: Gaussian beam diffraction in the homogeneous and in the lens-like media, and by the numerical example: Gaussian beam reflection from a plane-layered medium.     

Spectroscopic studies of Cepheids (S Cru,AP Pup,AX Cir,S TrA,T Cru,R Mus,S Mus,U Car) and semiregular bright supergiants (V382 Car,HD 75276, R Pup) in the southern hemisphere

We present the second part of the results of our work to investigate the atmospheric parameters and chemical composition of southern-hemisphere Cepheids obtained by analyzing 24 spectra for eight bright Cepheids and three semiregular bright supergiants taken with the 1.9-m telescope of the South African Astronomical Observatory. The chemical composition and atmospheric parameters have been determined for S Cru, AP Pup, AX Cir, S TrA, T Cru, R Mus, S Mus, U Car, V382 Car, HD 75276, and R Pup.     

Possible mechanism of brightness outbursts of comets

The mechanism of brightness outbursts of comets based on selective absorption of solar ultraviolet radiation by hydrogen atoms in the cometary head is considered. Due to this process, influence of the radiation on parent and daughter molecules in the near-nucleus region of the cometary head is different. As a result, under certain physical conditions in the cometary coma, the electronic-temperature increase may cause an outburst in the brightness of the comet.     

Gravitating configurations with magnetic field. III. Dedekind and Riemann ellipsoids

Kiev Polytechnic Institute. Translated from Astrofizika, Vol. 30, No. 1, pp. 208–219, January–February, 1989.     

Photometric observations of Cepheids from the ASAS-3 catalog: Photoelectric <Emphasis Type="Italic">BV I</Emphasis><Subscript>c</Subscript> observations of 33 classical Cepheids

Cepheids, the principal distance indicators, point to the existence of two inner Galactic spiral arms in the immediate solar neighborhood (within 5 kpc). However, the available Cepheids are clearly insufficient for a detailed study of the structure of these arms. Fortunately, southern-sky monitoring (the ASAS project) has led to the discovery of many new variable stars, more than one thousand of which have been identified as possible Cepheids. To improve the classification and to construct reliable light curves for new Cepheids, we have begun their regular photometric observations. Here, we present the first results: 1192 photoelectricBV I _c observations were performed for 33 classical Cepheidswith the 76-cm telescope of the South-African Astronomical Observatory (SAAO, the South-African Republic) from December 2006 to January 2008. We provide tables of observations and V light and B-V and V-I _c color curves. The new observations together with ASAS-3 data have been used to improve the elements of the light variations.     

Stacking of records of nuclear explosions registered by the world network of seismic stations

The methods and results of stacking of seismograms of nuclear explosions registered by the world network of seismic stations from 1980 until 1988 are presented. Stacking of seismograms obtained at one seismic station from the sources located in the same place allows us substantially to increase the useful signal/noise ratio. This, in turn, allows more confident correlation of various seismic waves coming to the seismic stations after the first arrivals, particularly, converted and reflected waves from different boundaries inside the Earth.     

CONVECTIVE PROCESSES IN NEAR-WATER LAYERS OF THE ATMOSPHERE FROM RADAR IMAGERY OF THE OCEAN SURFACE

Atmospheric boundary-layer stratification exerts a considerable influence on side-looking radar imagery of the sea surface in the centimeter range. Characteristic cellular structures present on the imagery under conditions of instability in the atmospheric boundary layer do not appear on images recorded under stable atmospheric conditions. The possibility of observation of dry and moist convection in the atmospheric layer above the water surface is examined.     

<Emphasis Type="Italic">BV I</Emphasis><Subscript><Emphasis Type="Italic">c</Emphasis></Subscript> photometry of RR Lyrae stars

We have obtained 26 372 CCD frames in the B, V, and I _c filters for 81 RR Lyrae stars in 2008–2010, using the 76-cm telescope of the South African Astronomical Observatory and the 40-cm telescope of the Cerro Armazones Observatory, North Catholic University (Chile) using an SBIG ST-10XME CCD camera. For 12 of these RR Lyrae stars, we also obtained 337 brightness measurements in the B and V bands in 2000–2001 using the 60-cm telescope of the High Altitude Mt. Maidanak Observatory (Republic of Uzbekistan). We present tables of observations, light curves, and improved light-curve elements for all these RR Lyrae stars. The Blazhko effect was detected for SU Hor.     

Determination of the physical parameters of gas in the neutral atmospheres of comets: The circular aperture method

A new method—the circular aperture method—is proposed for determining the physical parameters of gas in the neutral atmospheres of comets. A check has shown that this method is applicable to calculate the hydrodynamic velocity of gas outflow and the lifetime of molecules in the neutral atmosphere of comet 2009/P1 (Garradd).