Angular anisoplanatism in non-Kolmogorov turbulence over horizontal paths

Abstract

We use Mellin-transform techniques to derive generalized expressions for the piston-removed and piston-and-tilt-removed anisoplanatic error in non-Kolmogorov turbulence with a finite outer scale. We use these expressions to investigate the behavior of the anisoplanatic error when imaging over long horizontal paths where the angular extent of the scene is often many times the isoplanatic angle. By evaluating these expressions, we first find that in many cases, the anisoplanatic error saturates to a value less than 1 r a d 2 . Next, as power law increases, the contributions due to piston and tilt dominate the anisoplanatic error expression. Last, the size of the outer scale contributes primarily to the piston and tilt terms. Together, these behaviors imply that when piston and tilt are removed, anisoplanatism is reduced by as much as 60%.

Document Details

Document Type
Pub Defense Publication
Publication Date
Nov 18, 2020
Source ID
10.1364/josaa.401613

Entities

People

  • Jeffrey R. Beck
  • Jeremy P. Bos

Organizations

  • Air Force Office of Scientific Research

Tags

Readers

  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Image Processing and Computer Vision.