On the evaluation of generalized exponential integral functions

被引：10

作者：

Guseinov, I. I. ^{[1
]}

Mamedov, B. A.

机构：

[1] Onsekiz Mart Univ, Fac Arts & Sci, Dept Phys, Canakkale, Turkey

[2] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Phys, Tokat, Turkey

来源：

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER | 2006年 / 102卷 / 02期

关键词：

generalized exponential integral functions; multidimensional radiative transfer; anisotropic scattering;

D O I：

10.1016/j.jqsrt.2006.02.011

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

This paper deals with generalized exponential integral (GEI) functions arising in the study of anisotropic scattering in a multidimensional media. These functions are represented as finite linear combinations of basic GEIs introduced in this work. The recurrence relations are derived for the linear combination coefficients and basic GEIs. Numerical results are also given. The extensive test calculations show that the work proposed in this algorithm is the most efficient practical computations of GEI functions. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：251 / 256

页数：6

共 42 条

[1] HYPERBOLIC VARIATION OF ELASTIC-MODULUS IN A NONHOMOGENEOUS STRATUM [J].

AWOJOBI, AO .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1976, 12 (11) :739-748

[2] INVARIANT IMBEDDING AND DIFFUSE REFLECTION FROM A 2-DIMENSIONAL FLAT LAYER [J].

BELLMAN, R ;

KALABA, R ;

UENO, S .

ICARUS, 1963, 1 (04) :297-303

[3]

BELLMAN R, 1963, J MATH ANAL APPL, V7, P91

[4]

BELLMAN R, 1963, J MATH ANAL APPL, V7, P310

[5]

BREIG WF, 1974, MATH COMPUT, V28, P575, DOI 10.1090/S0025-5718-1974-0341811-3

[6] 2-DIMENSIONAL RADIATIVE EQUILIBRIUM [J].

BREIG, WF ;

CROSBIE, AL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 46 (01) :104-125

[7] ON THE DIFFUSE REFLECTION OF A PENCIL OF RADIATION BY A PLANE-PARALLEL ATMOSPHERE [J].

CHANDRASEKHAR, S .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1958, 44 (09) :933-940

[8]

Chandrasekhar S., 1960, RAD TRANSFER

[9] MULTIDIMENSIONAL RADIATIVE-TRANSFER - A SINGLE INTEGRAL-REPRESENTATION OF ANISOTROPIC SCATTERING KERNELS [J].

CROSBIE, AL ;

LEE, LC .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1989, 42 (03) :239-246

[10] TWO-DIMENSIONAL RADIATIVE-TRANSFER IN A CYLINDRICAL GEOMETRY WITH ANISOTROPIC SCATTERING [J].

CROSBIE, AL ;

DOUGHERTY, RL .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1981, 25 (06) :551-569

← 1 2 3 4 5 →