674 research outputs found

    Influence of temperature fluctuations on continuum spectra of cosmic objects

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    The presence of convective and turbulent motions, and the evolution of magnetic fields give rise to existence of temperature fluctuations in stellar atmospheres, active galactic nuclei and other cosmic objects. We observe the time and surface averaged radiation fluxes from these objects. These fluxes depend on both the mean temperature and averaged temperature fluctuations. The usual photosphere models do not take into account the temperature fluctuations and use only the distribution of the mean temperature into surface layers of stars. We investigate how the temperature fluctuations change the spectra in continuum assuming that the degree of fluctuations (the ratio of mean temperature fluctuation to the mean temperature) is small. We suggest the procedure of calculation of continuum spectra, which takes into account the temperature fluctuations. As a first step one uses the usual model of a photosphere without fluctuations. The observed spectrum is presented as a part depending on mean temperature and the additional part proportional to quadratic value of fluctuation degree. It is shown that for some forms of absorption factor the additional part in Wien's region of spectrum can be evaluated directly from observed spectrum. This part depends on the first and second wavelength derivatives, which can be calculated numerically from the observed spectrum. Our estimates show that the temperature dependence of absorption factors is very important by calculation of continuum spectra corrections. As the examples we present the estimates for a few stars from Pulkovo spectrophotometric catalog and for the Sun. The influence of temperature fluctuations on color indices of observed cosmic objects is also investigated.Comment: 22 pages, 5 tables. Accepted for publication in Astrophysics & Space Scienc

    Intensity and polarization of radiation reflected from accretion disc

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    We consider the reflection of non-polarized radiation from the point-like sources above the accretion discs both the optically thick and optically thin. We investigate the dependence of the polarization of reflected radiation on the aperture angle of incident radiation. The aperture angle is determined by the radius of accretion disc and the height of the source above the disc. For optically thick accretion discs we show that, if the aperture angle is smaller 70 grad, then the wave electric field oscillations of reflected radiation are parallel to the accretion disc plane. For aperture angle greater than 70 grad the electric field oscillations are parallel to the plane "normal to accretion disc - the line of sight". The latter also holds for reflection from the optically thin accretion disc independent of the aperture angle value.Comment: 11 pages, 4 figures.This is a pre-print of an article published in Astrophysics and Space Scienc

    Depolarization of multiple scattered light in atmospheres due to anisotropy of small grains and molecules. II. The problems with sources

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    In the previous paper we considered two classic problems - the diffuse reflection of the light beam from semi-infinite atmosphere, and the Milne problem. For both problems we used the technique of invariance principle. In this paper we consider the solution of the problem when in semi-infinite atmosphere the sources of unpolarized radiation are exist. Here we used the technique of the Green matrices. We consider only continuum radiation.Comment: 9 pages. In submission to Astrophysics and Space Scienc

    Depolarization of multiple scattered light in atmospheres due to anisotropy of small grains and molecules

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    Freely oriented small anisotropic grains and molecules depolarize radiation both in single scattering and in the process of multiple scattering. Especially large depolarization occurs for resonant scattering corresponding to the electron transitions between the energy levels with very different quantum numbers. The existence of light absorption also changes essentially the angular distribution and polarization of radiation, outgoing from an atmosphere. In the present paper we consider these effects in detail both for continuum radiation and for resonant lines. Because the term describing the depolarization deals with isotropic radiation, we consider the axially symmetric part of radiation. We derived the formulas for observed intensity and polarization using the invariance-principles both for continuum and resonant scattering. We confine ourselves to two problems - the diffuse reflection of the light beam from semi-infinite atmosphere, and the Milne problem.Comment: 18 pages, 2 table

    Radiative transfer in scattering stochastic atmospheres

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    Many stars, active galactic nuclei, accretion discs etc. are affected by the stochastic variations of temperature, turbulent gas motions, magnetic fields, number densities of atoms and dust grains. These stochastic variations influence on the extinction factors, Doppler widths of lines and so on. The presence of many reasons for fluctuations gives rise to Gaussian distribution of fluctuations. The usual models leave out of account the fluctuations. In many cases the consideration of fluctuations improves the coincidence of theoretical values with the observed data. The objective of this paper is the investigation of the influence of the number density fluctuations on the form of radiative transfer equations. We consider non-magnetized atmosphere in continuum.Comment: 11 pages. Has been accepted for publication in Astrophysics and Space Scienc

    A Laboratory Study of Absorbing Capacity of Water Vapor at the Wavelengths from 6500 TO 10500 {\AA}

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    We obtained laboratory spectra of absorption by water vapor at the wavelengths 6500-10500 {\AA} with the multipass cell. The water vapor content along the line of view varied from 0.1 to 3.0 cm of precipitated water, the pressure from 0.1 to 1.0 atm. The spectra were taken with the width of the exit slit of the spectrophotometer 25, 50, 100, and 150 {\AA}. To match these spectra, we selected empirical functions, which approximate the observed absorption within the indicated interval of water vapor content and pressure with the accuracy about 1%. For the water vapor band at the wavelengths regions 7200, 8200, and 9300 {\AA}, with the step 25 {\AA}, we determined the parameters necessary for the calculation of empirical transmission functions. The presented data make it possible to select the parameters for taking into account the radiation attenuation in the spectral region of telluric water vapor under the conditions of real astronomical observations for a specific place and spectrophotometer. The suggested set of empirical parameters may provide correction of observed stellar spectra for the extinction in the atmosphere with the accuracy 0.m01-0.m02.Comment: 7 pages, 7 figures, and 2 tables. English version of russian pape

    Radiation intensity and polarization from accretion discs with progressive increasing height

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    The article considers the optically thick accretion discs with the progressive increasing height. The surface is assumed to be the conical form. The radiation with considered wavelength emerges from an ring on the cone and is described by the Milne problem for the intensity and polarization. The inclination angles of the rings are taken 15 and 30 grad. The inclination angles between the line of sight and the normal to the central accretion disc plane are taken 30, 45, 60 grad for every value of the ring inclination. For the continuum radiation the polarization of the emerging light is less than that in the case of the plane accretion disc. The polarization position angles of radiation emerging from the right and left parts of the ring are opposite one another. They are determined by the geometry of the problem. The position angle of the observed continuum radiation is parallel to the central plane of the accretion disc. Our theory gives the new explanation of that the position angles in "red" and "blue" wings of a spectral line are opposite one another. This behavior exists in many Seyfert galaxies.Comment: 7 pages, 3 figure

    The Determination of the Water Vapor Content in the Pulkovo VKM-100 Multipass Vacuum Cell Using Polymer Sensors of Humidity

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    In spectral studies of water vapor under laboratory conditions (determination of molecular constants, measurement for spectral transmission functions), the amount of water vapor in the time of the measurements is one of the most essential parameters, which should be determined accurately. We discuss the application for this purpose of polymer sensors of humidity manufactured by Praktik-NC (Moscow) and used in the Pulkovo VKM-100 multipass vacuum cell. These sensors were examined in the laboratory of Lindenberg Meteorological observatory (Germany) by comparison between their readings and those of standard measuring devices for various values of relative humidity, pressure, and temperature. We also carried out measurements of relative humidity in boxes with saline solution, in which the relative humidity that corresponds to a given solution is guaranteed with the accuracy of several tenths of percent. The analysis of the results of the laboratory examination of the sensors and extended sets of measurements made with the Pulkovo cell made it possible to conclude that in measurements in the interval of relative humidity 40-80%, the ~5% accuracy of the measurements for the water vapor content is reached. Further paths are indicated for the increase of the accuracy of measurements and extending the interval of the relative humidity, in which accurate measurements may be carried out.Comment: 12 pages, 12 figures. English version of russian pape

    Accuracy of the Water Vapour Content Measurements in the Atmosphere Using Optical Methods

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    This paper describes the accuracy and the errors of water vapour content measurements in the atmosphere using optical methods, especially starphotometer. After the general explanations of the used expressions for the star-magnitude observations of the water vapour absorption in section 3 the absorption model for the water vapour band will be discussed. Sections 4 and 5 give an overview on the technique to determine the model parameters both from spectroscopic laboratory and radiosonde observation data. Finally, the sections 6 and 7 are dealing with the details of the errors; that means errors of observable magnitude, of instrumental extraterrestrial magnitude, of atmospheric extinction determination and of water vapour content determination by radiosonde humidity measurements. The main conclusion is: Because of the high precision of the results the optical methods for water vapour observation are suited to validate and calibrate alternative methods (GPS, LIDAR, MICROWAVE) which are making constant progress world-wide in these days.Comment: 29 pages, 21 figure

    Resonance line in rotating accretion disc

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    We study the resonance line emission from the rotating plane optically thick accretion disc, consisting of free electrons and resonant atoms. We use the standard assumption that the source of continuum radiation is located near central plane of the accretion disc, where the temperature is the highest. This corresponds to the Milne problem consideration for continuum. We shortly discuss the impossibility of the Milne problem for the resonance radiation. We assume that the resonant atoms are located in a thin layer of an accretion disc near the surface. In this case the resonance line emission arises due to scattering of a continuum on the resonant atoms. In thin layer we can neglect the multiple scattering of the resonance radiation on the resonant atoms. We consider the axially symmetric problems, where the Stokes parameter U =0. We take into account the Doppler effect for the frequencies of the resonance line. The three types of the resonant atom sources are considered (see Figs.1-3). The first source is the axially symmetric continuous distribution of the resonant atoms along the circular orbit. The second spot-like source rotates in the orbit. The third type presents two spot-like sources located in the orbit contrary one to another. In the first and third cases the shape of the emitting resonance line is symmetric, i.e. the right and left wings have the similar shapes. In the second case the resonance line has asymmetric shape. The shape of the emerging line depends significantly on the ratio of the rotation velocity value to the velocity, characterizing the Doppler width. It also depends on the ratio of the electron number density to the number density of resonant atoms. The results of the calculations characterize the different observational effects of Hα\alpha radiation in the accretion discs and can be used for estimations of the parameters mentioned above.Comment: 14 pages, 9 figures. In press to Astrophysics and Space Scienc
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