Differentiable holography

Laser & Photonics Reviews, 2023


Abstract

We present differentiable holography that takes optical system imperfections (Fig. 1) into account in inverse holographic imaging, demonstrated by successful auto-focused complex field imaging from a single-shot inline hologram obtained with various setups.

framework
Fig. 1: Numerical modeling of a typical computational holography system, parameterized by several realistic setup factors.

(1) We incorporate system imperfections into the imaging modeling with $f(x, \theta)$, where $x$ is the target and $\theta$ is a collection of imperfection parameters. (2) The challenging inversion of the forward model is solved with differentiable optimization algorithm. With this we can achieve complex field imaging from single-shot inline holograms without the use of additional hardware.


Experimental results


Holography type I: Plane illumination II: Spherical illumination III: Lensless holography IV: with fiber bundle1
Setup
Fig. 2: Various inline holography systems that used to test the proposed differentiable holography: Inline holography with (I) plane wave illumination and (II) spherical wave illumination, (III) lensless holography, and (IV) inline holography with fiber bundle setup.


View the gallery of experimental results [here].


Bibtex

@article{Chen2023,
title  = {Differentiable Holography},
author = {Ni Chen and Congli Wang and Wolfgang Heidrich},
year   = {2022},
month  = {June},
doi    = {10.1002/lpor.202200828},
url    = {},
}


References

  1. M. R. Hughes, “Inline holographic microscopy through fiber imaging bundles,” Appl. Opt. 60, A1-A7 (2021). ↩