Two-dimensional phase unwrapping by direct elimination of rotational vector fields from phase gradients obtained by heterodyne techniques

Takahiro Aoki; Toshihiro Sotomaru; Yoko Miyamoto; Mitsuo Takeda

doi:10.1117/12.312933

30 June 1998 Two-dimensional phase unwrapping by direct elimination of rotational vector fields from phase gradients obtained by heterodyne techniques

Takahiro Aoki, Toshihiro Sotomaru, Yoko Miyamoto, Mitsuo Takeda

Author Affiliations +

Proceedings Volume 3478, Laser Interferometry IX: Techniques and Analysis; (1998) https://doi.org/10.1117/12.312933
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

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 the 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.

Citation Download Citation

Takahiro Aoki, Toshihiro Sotomaru, Yoko Miyamoto, and Mitsuo Takeda "Two-dimensional phase unwrapping by direct elimination of rotational vector fields from phase gradients obtained by heterodyne techniques", Proc. SPIE 3478, Laser Interferometry IX: Techniques and Analysis, (30 June 1998); https://doi.org/10.1117/12.312933

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