Optical Propagation in a Weakly Inhomogeneous Medium.
Expert InsightsPublished 1968
Analysis of the scattering of electromagnetic waves in a turbulent medium, as in signals from satellites, optical communications, and laser radar. A self-consistent Green's function technique is used to obtain the EM field and its corresponding intensity to second order in the index of refraction fluctuations. Using the method of RM-5697, energy conservation is satisfied: the energy removed from the average part of the field is transferred to the random fluctuating part of the field. Perturbation methods (the Rytov and Born approximations) are shown to be valid only for propagation distances less than a certain critical range. Up to that range, the field is primarily coherent, since the fluctuations are small. Beyond the critical range, the field is essentially incoherent. A statistical argument is given to obtain its intensity statistics. An approximate expression valid for all propagation distances is derived from the intensity statistics and compared with experiments. Agreement is good. 38 pp. Ref. (MW)
Document Details
- Copyright: RAND Corporation
- Availability: Web Only
- Year: 1968
- Pages: 38
- Document Number: P-3944
Citation
RAND Style Manual
Chicago Manual of Style
This publication is part of the RAND paper series. The paper series was a product of RAND 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.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
RAND 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.