Some key issues pertaining to analysis of small-angle scattering data affected by multiple scattering
S. Mazumder, Debasis Sen, Amitava Patra
Abstract
S. Mazumder, Debasis Sen, Amitava Patra
Abstract
The relevance of accounting for multiple scattering effects in small-angle scattering studies has increased today as more number of high resolution small-angle scattering facilities are available to probe large inhomogeneities. The effect of multiple scattering and the data analysis procedure depends upon the degree of multiple scattering whose measure in a specimen is conveniently expressed by N (= t/L the ratio of specimen thickness t to scattering mean free path L). It also depends upon the relative magnitude of the scattering mean free path L of radiation inside the matrix vis-a-vis the linear dimension R of the inhomogeneities. For L>>R, the scattering medium can be treated in a mean field way as far as the description of multiple scattering is concerned. Such a medium is termed as `effective medium'. But when the condition L>>R is invalidated, the statistical nature of the medium manifests. In the present paper, some key issues pertinent to analysis of small-angle scattering data affected by multiple scattering are addressed.
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The relevance of accounting for multiple scattering effects in small-angle scattering studies has increased today as more number of high resolution small-angle scattering facilities are available to probe large inhomogeneities. The effect of multiple scattering and the data analysis procedure depends upon the degree of multiple scattering whose measure in a specimen is conveniently expressed by N (= t/L the ratio of specimen thickness t to scattering mean free path L). It also depends upon the relative magnitude of the scattering mean free path L of radiation inside the matrix vis-a-vis the linear dimension R of the inhomogeneities. For L>>R, the scattering medium can be treated in a mean field way as far as the description of multiple scattering is concerned. Such a medium is termed as `effective medium'. But when the condition L>>R is invalidated, the statistical nature of the medium manifests. In the present paper, some key issues pertinent to analysis of small-angle scattering data affected by multiple scattering are addressed.
Key concepts: Scattering, Small-angle scattering, Biological small-angle scattering, Mean free path, Physics, Scattering length, Scattering theory, Computational physics