REFLECTIONS IN AND FROM ONE-DIMENSIONAL REGULAR AND IMPERFECT POINT LATTICES,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 15, 1964
- Accession Number
- AD0439609
Entities
People
- Harold Levine
Organizations
- Stanford University