Optical Review

, Volume 5, Issue 6, pp 374–379

Two-Dimensional Phase Unwrapping by Direct Elimination of Rotational Vector Fields from Phase Gradients Obtained by Heterodyne Techniques

  • Takahiro Aoki
  • Toshihiro Sotomaru
  • Takeshi Ozawa
  • Takashi Komiyama
  • Yoko Miyamoto
  • Mitsuo Takeda
OPTICAL SYSTEMS AND TECHNOLOGIES

DOI: 10.1007/s10043-998-0374-4

Cite this article as:
Aoki, T., Sotomaru, T., Ozawa, T. et al. OPT REV (1998) 5: 374. doi:10.1007/s10043-998-0374-4

Abstract

Noting the analogy between electro-magnetic fields and the vector fields of phase gradients obtained by heterodyne techniques, we propose a new algorithm for least-squares phase unwrapping. Instead of solving a Poisson equation for the unwrapped phase map or using Green’s formulation, we directly remove singular points or residues from the measured phase map by superposing sign-reversed vortex fields which cancel out the rotational vector fields associated with the phase singular points.

Key words

phase unwrappinginterferometryfringe analysisoptical metrologyheterodyne techniques

Copyright information

© The Optical Society of Japan 1998

Authors and Affiliations

  • Takahiro Aoki
    • 1
  • Toshihiro Sotomaru
    • 1
  • Takeshi Ozawa
    • 1
  • Takashi Komiyama
    • 1
  • Yoko Miyamoto
    • 1
  • Mitsuo Takeda
    • 1
  1. 1.The University of Electro-Communications, Department of Communication and Systems EngineeringTokyoJapan