Accession Number : AD0439609


Title :   REFLECTIONS IN AND FROM ONE-DIMENSIONAL REGULAR AND IMPERFECT POINT LATTICES,


Corporate Author : STANFORD UNIV CALIF


Personal Author(s) : Levine,Harold


Report Date : 15 Apr 1964


Pagination or Media Count : 39


Abstract : This report accounts investigations into the utility of integral equation and transform procedures for systematizing an analysis of waves and their propagation through, and reflection from, media endowed with a periodic structure. Attenuation is confined to one-dimensional wave motions in a point lattice; for simplicity and concreteness, we may envisage a stretched string which is periodically loaded with identical point masses and is executing small transverse vibrations. The capabilities of an integral equation-transform analysis are illustrated with reference to wave motions along infinite strings that are loaded on but half of their total extension; in particular, expressions are obtained for the reflection coefficient of waves incident upon the loaded portion in cases where the latter contains identical masses, an alternating sequence of two distinct masses, or an isolated departure from regularity in the mass spectrum. (Author)


Descriptors :   *MECHANICAL WAVES , *WAVEGUIDES , *WAVE PROPAGATION , WAVE FUNCTIONS , INTEGRAL TRANSFORMS , MATHEMATICAL ANALYSIS , INTEGRAL EQUATIONS , TRANSFORMATIONS(MATHEMATICS) , QUANTUM THEORY , MOTION , DIFFERENTIAL EQUATIONS , CRYSTAL LATTICES


Distribution Statement : APPROVED FOR PUBLIC RELEASE