Phase retrieval by using the transport-of-intensity equation with Hilbert transform

Wei Shuo Li, Chun Wei Chen, Kuo-Feng Lin, Hou-Ren Chen, Chih Ya Tsai, Chyong-Hua Chen, Wen Feng Hsieh

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

Phase recovery by solving the transport-of-intensity equation (TIE) is a non-iterative and non-interferometric phase retrieval technique. From solving the TIE with conventional, one partial derivative and Hilbert transform methods for both the periodic and aperiodic samples, we demonstrate that the Hilbert transform method can provide the smoother phase images with edge enhancement and fine structures. Furthermore, compared with the images measured by optical and atomic force microscopy, the Hilbert transform method has the ability to quantitatively map out the phase images for both the periodic and aperiodic structures. (C) 2016 Optical Society of America
Original languageEnglish
Pages (from-to)1616-1619
Number of pages4
JournalOptics Letters
Volume41
Issue number7
DOIs
StatePublished - 1 Apr 2016

Keywords

  • INTERFERENCE CONTRAST MICROSCOPE
  • DIC MICROSCOPY
  • Light

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    Li, W. S., Chen, C. W., Lin, K-F., Chen, H-R., Tsai, C. Y., Chen, C-H., & Hsieh, W. F. (2016). Phase retrieval by using the transport-of-intensity equation with Hilbert transform. Optics Letters, 41(7), 1616-1619. https://doi.org/10.1364/OL.41.001616