A Canonical Bremmer Series Decomposition of Solutions to the Lossless Wave Equations in Layered Media,
Abstract
In this paper, we prove the truth of the following decomposition of the solutions to the lossless wave equation in layered media; the complete output from a K-layer media system, which is comprised of the superposition of primaries, secondaries, tertiaries, etc., can be obtained from a single state space model of order 2K - the complete model - or from an infinite number of models, each of order 2K, the output of the first of which is just the primaries, the output of the second of which is just the secondaries, etc. This decomposition of the solution to the lossless wave equation into physically meaningful constituents (i. e., primaries, secondaries, etc) is called a canonical Bremmer Series decomposition, after Bremmer, who in 1951 established a similar decomposition. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1977
- Accession Number
- ADA039573
Entities
People
- Jerry M. Mendel
Organizations
- University of Southern California