THE EFFECT OF FORWARD, BACKWARD AND LINEAR ANISOTROPIC SCATTERING ON THE CRITICAL SLAB THICKNESS

TEZCAN, C; YILDIZ, C

doi:10.1016/0022-4073(95)00019-h

THE EFFECT OF FORWARD, BACKWARD AND LINEAR ANISOTROPIC SCATTERING ON THE CRITICAL SLAB THICKNESS

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TEZCAN C., YILDIZ C.

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, vol.53, no.6, pp.687-691, 1995 (SCI-Expanded)

Publication Type: Article / Article
Volume: 53 Issue: 6
Publication Date: 1995
Doi Number: 10.1016/0022-4073(95)00019-h
Journal Name: JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.687-691
Ankara University Affiliated: No

Abstract

The critical slab problem is studied for, one-speed time independent, plane symmetric linear transport equation, using a scattering kernel which consists of linear combinations of backward, forward and linear anisotropic scattering. The moment equations of P-N approximation written for anisotropic scattering kernel are transformed into moment equations for linear anisotropic scattering. This approach is based on the use of scale transformations. Moment solutions are connected with a subgroup of 2 x 2 reel symmetric matrices. Using the solution procedure given for linear anistropic scattering, the contribution of the combination of the linear anisotropy and delta-distributions to the critical slab thickness is obtained up to the P-15-approximation.