Decomposition of the neutron reflection coefficient in the stratified surface layer model

✍ Scribed by Loren R. Clifford

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 257 KB
• Volume: 198
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/0921-4526(94)90120-1

✦ Synopsis

A neutron reflection coefficient can be decomposed into two simpler reflection coefficients: the Fresnel coefficient for bulk material only, and a coefficient for the case where the surface layer is surrounded on both sides by bulk material. The latter coefficient is obtained via the usual matrix product whose factors correspond to homogeneous strata of the surface layer; or this coefficient can also be expressed as a sum of terms, one for each stratum of the surface layer. The purpose of this latter theorem is to reveal the algebraic structure of the scattering problem and the relation of the matrix method to the Born approximation. Zero absorption and diffuse scattering is assumed.