ChemInform Abstract: REFLEXIONSSPEKTREN VON KRISTALLEN DER GRUPPE TLB(V)C2(VI)

Соболев, В. В.; Vorob'ev, V. G.; Popov, Yu. V.; Gitsu, D. V.; Kantser, Ch. T.

doi:10.1002/chin.197451015

Cited by 4 publications

(5 citation statements)

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“…(10), Eq. (15) leads to results that are consistent with the standard expressions for the reflection and transmission coefficients [18,24], (16) and ( ) ( ).…”

Section: One-dimensional Inhomogeneous Medium the Scalar Casesupporting

confidence: 83%

“…Difficulties have continued to appear when determining the radiation field inside an atmosphere, so it has become necessary to develop methods applying to specific types of problems (onedimensional; three-dimensional approximation; finite and semi-infinite homogeneous, inhomogeneous media) under one or another assumption about the specifics of the diffusion process (isotropic, anisotropic, monochromatic, completely or partially incoherent scattering, polarized radiation, etc.). There is a vast literature on each of these areas; here we mention only a few papers devoted to radiative transfer in inhomogeneous atmospheres [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

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Solution of linear radiative transport problems in plane-parallel atmospheres. I.

Nikoghossian

2011

Astrophysics

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A new method for determining various quantities describing the radiation field in an inhomogeneous, plane-parallel atmosphere is proposed in this two-part paper. The essence of this method is the reduction of the boundary value problems which arise during the customary statement of various astrophysical problems associated with solving the radiative transfer equations to initial value problems. Compared to previous attempts in this area, the proposed method is universal and simple. The first part of this paper deals with one-dimensional media. Scalar, as well as vector-matrix problems relating to the diffusion of radiation in spectral lines with frequency redistribution are examined.

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“…(10), Eq. (15) leads to results that are consistent with the standard expressions for the reflection and transmission coefficients [18,24], (16) and ( ) ( ).…”

Section: One-dimensional Inhomogeneous Medium the Scalar Casesupporting

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Solution of linear radiative transport problems in plane-parallel atmospheres. I.

Nikoghossian

2011

Astrophysics

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“…Referring the interested reader to the cited papers for details of the method, we restrict ourselves here to mentioning that it results in the pair of functional equations known as the summation laws for the reflectance and transmittance. Note that the method of addition of layers is closely related to that of the invariance principle and invariant imbedding, therefore the same technique is named differently by different authors (see, e.g., Ambartsumian 1943Ambartsumian , 1960Sobolev 1963Sobolev , 1974Chandrasekhar 1960;Busbridge 1961;Bellman et al 1956Bellman et al , 1960Preisendorfer 1958Preisendorfer , 1976Abhyankar & Fymat 1969, 1970Peraiah 1984).…”

Section: Inhomogeneous Atmosphere the Polarity Propertymentioning

confidence: 99%

Radiative transfer in one-dimensional inhomogeneous atmospheres

Nikoghossian

2004

A&A

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Abstract.We use Ambartsumian's method of addition of layers to show that various problems, including the standard ones, of radiation transfer in a plane-parallel inhomogeneous atmosphere may be reduced to the solution of the Cauchy problems for linear differential equations. This allows avoiding the known difficulties arising in solving the boundary-value problems to which the classical approach leads. For the purpose of exposition, the paper deals with the simplest one-dimensional problem of multiple scattering for an atmosphere of finite optical thickness. The idea of the approach is that we start with determining the reflection and transmission coefficients of an atmosphere by solving the initial-value problem for a set of linear differential equations of the first order. After that the internal radiation field is found immediately without solving any new equation. The approach is applied to several classical problems of astrophysical interest. In particular, we evaluate the mean number of scatterings undergone by different types of photons. The transfer of radiation in an atmosphere with arbitrarily distributed internal sources is considered. Analytical solutions for these problems are obtained. Simple recursion formulas are derived to find the radiation intensity emitted by a multicomponent atmosphere. The problem of multiple scattering of radiation with partial redistribution over frequencies is discussed to demonstrate the generalization of the approach to the matrix case. The results of numerical calculations are given.

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“…The majority of these crystals are layered materials and present anisotropic physical properties, ranking between semimetals and narrow gap semiconductors [1][2][3]. The interest for this ternary system is due to their thermoelectric and superconducting properties [4][5][6]. For TlBiTe 2 it was found that it is an n-type semiconductor with an energy gap E g equal to 0.110 eV [7], while TlSbTe 2 is a p-type one with an energy gap at room temperature equal to 0.160 eV [2,8].…”

Section: Introductionmentioning

confidence: 99%