Linear Random Operator Equations in Mathematical Physics. III
- 1 September 1971
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (9) , 1948-1955
- https://doi.org/10.1063/1.1665828
Abstract
The problem of wave motion in a stochastic medium is treated as an application of stochastic operator theory and as a generalization of Papers I and II (and previous work by the author) to the case of partial differential equations and random fields without monochromaticity assumptions and closure approximations. Connections to the theory of partial coherence are considered. The stochastic Green's function for the two‐point correlation of the solution process can be determined so the correlation can be obtained. Spectral spreading in a ``hot'' medium is easily demonstrable and can be calculated.Keywords
This publication has 5 references indexed in Scilit:
- Random Operator Equations in Mathematical Physics. IJournal of Mathematical Physics, 1970
- Stochastic equations and wave propagation in random mediaProceedings of Symposia in Applied Mathematics, 1964
- Stochastic Green’s functionsProceedings of Symposia in Applied Mathematics, 1964
- Linear Stochastic OperatorsReviews of Modern Physics, 1963
- On the Theory of Noise in Radio Receivers with Square Law DetectorsJournal of Applied Physics, 1947