Numerical parametric lens for shifting, magnification, and complete aberration compensation in digital holographic microscopy

Tristan Colomb*, Frédéric Montfort, Jonas Kühn, Nicolas Aspert, Etienne Cuche, Anca Marian, Florian Charrière, Sébastien Bourquin, Pierre Marquet, Christian Depeursinge

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

290 Scopus citations


The concept of numerical parametric lenses (NPL) is introduced to achieve wavefront reconstruction in digital holography. It is shown that operations usually performed by optical components and described in ray geometrical optics, such as image shifting, magnification, and especially complete aberration compensation (phase aberrations and image distortion), can be mimicked by numerical computation of a NPL. Furthermore, we demonstrate that automatic one-dimensional or two-dimensional fitting procedures allow adjustment of the NPL parameters as expressed in terms of standard or Zernike polynomial coefficients. These coefficients can provide a quantitative evaluation of the aberrations generated by the specimen. Demonstration is given of the reconstruction of the topology of a microlens.

Original languageEnglish (US)
Pages (from-to)3177-3190
Number of pages14
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number12
StatePublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition

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