Optical Phase Unwrapping in the Presence of Branch Points

Abstract

Strong turbulence causes phase discontinuities known as branch points in an optical field. These discontinuities complicate the phase unwrapping necessary to apply phase corrections onto a deformable mirror in an adaptive optics (AO) system. This paper proposes a non-optimal but effective and implementable phase unwrapping method for optical fields containing branch points. This method first applies a least-squares (LS) unwrapper to the field which isolates and unwraps the LS component of the field. Four modulo-2-pi-equivalent non-LS components are created by subtracting the LS component from the original field and then restricting the result to differing ranges. 2-pi phase jumps known as branch cuts are isolated to the non-LS components and the different non-LS realizations have different branch cut placements. The best placement of branch cuts is determined by finding the non-LS realization with the lowest normalized cut length and adding it to the LS component.

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Document Details

Document Type
Technical Report
Publication Date
May 12, 2008
Accession Number
ADA504245

Entities

People

  • Jason D Schmidt
  • Todd M. Venema

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Actuators
  • Adaptive Optics
  • Air Force
  • Amplitude
  • Atmospheric Motion
  • Deformable Mirrors
  • Detectors
  • Intensity
  • Laser Beams
  • Laser Communications
  • Optical Phenomena
  • Optics
  • Scintillation
  • Simulations
  • Strehl Ratio
  • Turbulence
  • Wavefronts

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Vision.
  • Military Logistics and Supply Chain Management