A proof that wave propagation in inhomogeneous media may be studied through the use of invariance principles similar to those used in radiative transfer and neutron transport theory. A wave- localization principle is proved. The analytical techniques derived furnish a new approach to some significant problems in mathematical physics, while the physical concepts provide new insight into the analytic structure of the solutions of the one-dimensional wave equation.
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.