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  • Letter
  • Open Access

Quantitative phase imaging via the holomorphic property of complex optical fields

Jeonghun Oh1,2, Herve Hugonnet1,2, and YongKeun Park1,2,3,*

  • 1Department of Physics, Korea Advanced Institute of Science and Technology (KAIST), Daejeon 34141, Republic of Korea
  • 2KAIST Institute for Health Science and Technology, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
  • 3Tomocube Inc., Daejeon 34109, Republic of Korea

  • *yk.park@kaist.ac.kr
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Phys. Rev. Research 5, L022014 – Published 18 April, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L022014

Abstract

An optical field is described by the amplitude and phase, and thus has a complex representation described in the complex plane. However, because the only thing we can measure is the amplitude of the complex field on the real axis when not introducing an additional imaging system, it is difficult to identify how the complex field behaves throughout the complex plane. In this study, we interpret quantitative phase imaging methods via the Hilbert transform in terms of analytic continuation, manifesting the behavior in the whole complex plane. Using Rouché's theorem, we prove the imaging conditions imposed by Kramers-Kronig holographic imaging. The deviation from Kramers-Kronig holography conditions is examined using computational images and experimental data. We believe that this study provides a clue for holographic imaging using the holomorphic characteristics of a complex optical field.

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Outline

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Phys. Rev. Research 5, L022014– Published 18 April, 2023
  • Received 29 August 2022
  • Accepted 13 March 2023
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