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Quantitative Jones matrix imaging using vectorial Fourier ptychography.

Xiang Dai1,2, Shiqi Xu1,2, Xi Yang1

  • 1Department of Biomedical Engineering, Duke University, Durham, NC 27708, USA.

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This study introduces vectorial Fourier ptychography (vFP), a high-resolution microscopic imaging method. vFP recovers detailed polarimetric properties of specimens, advancing optical microscopy for biological and material science applications.

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Area of Science:

  • Microscopy
  • Optical Physics
  • Image Reconstruction

Background:

  • Fourier ptychography enhances resolution using phaseless measurements.
  • Standard microscopy lacks detailed polarimetric information.
  • Vectorial nature of light is crucial for certain specimen properties.

Purpose of the Study:

  • To develop a high-resolution, large-field-of-view microscopic imaging technique.
  • To extend Fourier ptychography for vectorial light properties.
  • To recover complex polarimetric properties of anisotropic specimens.

Main Methods:

  • Variable-angle illumination and polarizers on a standard microscope.
  • Vectorial Fourier ptychography (vFP) algorithm to solve for Jones matrices.
  • Sequential Gauss-Newton solver for joint estimation and aberration removal.

Main Results:

  • Reconstruction of complex 2x2 Jones matrices for anisotropic specimens.
  • High-resolution (1.24 μm) and large-area (29 mm²) imaging.
  • Accurate mapping of sample absorption, phase, orientation, diattenuation, and retardance.

Conclusions:

  • Vectorial Fourier ptychography enables comprehensive polarimetric imaging.
  • The developed vFP method overcomes limitations of traditional Fourier ptychography.
  • This technique offers significant potential for analyzing diverse biological and calibration samples.