Second-Order Statistics for Wave Propagation through Complex Optical Systems
Abstract
Closed from expressing are derived for various statistical functions that arise in optical propagation through arbitrary optical systems that can be characterized by a complex ABCD matrix in distributed random inhomogeneities along the optical path. Specifically, within the second-order Rytov approximation, explicit general expressions are presented for the mutual coherence function, the log-amplitude and phase correlation function, and the mean square irradiance that is obtained in propagation through an arbitrary paraxial ABCD optical system containing Gaussian-shaped limiting apertures. Additionally, we consider the performance of adaptive-optics systems through arbitrary real paraxial ABCD optical systems and derive an expression for the mean irradiance of an adaptive-optics laser transmitter through such systems. Keywords: Gaussian beams; Optical propagation; Statistical optics; Turbulence.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1988
- Accession Number
- ADA200494
Entities
People
- H. T. Yura
- S. G. Hanson
Organizations
- University of Michigan