Invariant imbedding, wave propagation, and the WKB approximation.

by Richard Ernest Bellman, Robert E. Kalaba

Purchase

Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback6 pages $15.00 $12.00 20% Web Discount

An attempt to indicate how wave propagation may be considered in terms of an over-all physical process as a sequence of local processes. The results are based on an algorithm that, in general, can yield divergent series. In addition, the paper shows that wave propagation can be discussed in terms of reflection and refraction at infinitesimally separated interfaces and that the convergence of the Bremmer series can be established under a simple assumption concerning the slowly varying nature of the local wave number.

This report is part of the RAND Corporation Paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.