Accession Number : AD0650424

Title :   REFLECTION FROM A PERIODICALLY COMPOSED HALF-SPACE.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF MATHEMATICS

Personal Author(s) : Levine,Harold

Report Date : 01 APR 1967

Pagination or Media Count : 29

Abstract : The character of wave motions in geometrical settings of a periodic nature and their interplay with primary and secondary waves in the exterior of partly space-filling configurations receive prominence in the theories of x-ray and electron diffraction. It is customary to focus attention on the free or natural wave motions in unbounded media with a periodic bias prior to establishing the self-consistent solution for specific excitations in composite media. An integrated, rather than sequential, approach to problems in the latter category is recommended and detailed here in connection with the incidence of plane waves on a half-space with periodic composition normal to its boundary; and is shown, in particular, to furnish directly a superior means of calculating the reflection coefficient. (Author)

Descriptors :   (*FIELD THEORY, REFLECTION), WAVE FUNCTIONS, INTEGRAL EQUATIONS, INTEGRAL TRANSFORMS, DIFFERENTIAL EQUATIONS, INTERACTIONS, BOUNDARY VALUE PROBLEMS

Subject Categories : Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE