Gauging diffraction patterns: field of view and bandwidth estimation in lensless holography.

@article{Soulez2021GaugingDP,
  title={Gauging diffraction patterns: field of view and bandwidth estimation in lensless holography.},
  author={Ferr{\'e}ol Soulez},
  journal={Applied optics},
  year={2021},
  volume={60 10},
  pages={
          B38-B48
        }
}
  • F. Soulez
  • Published 22 March 2021
  • Physics
  • Applied optics
The purpose of this work is to provide a theoretically grounded assessment on the field of view and bandwidth of a lensless holographic setup. Indeed, while previous works have presented results with super-resolution and field-of-view extrapolation, there are no well-established rules to determine them. We show that the theoretical field of view can be large with a spatial-frequency bandwidth only limited by the wavelength, leading to an unthinkable number of degrees of freedom. To keep a… 

A constrained method for lensless coherent imaging of thin samples.

Lensless inline holography can produce high-resolution images over a large field of view (FoV). In a previous work [Appl. Opt.60, B38 (2021)APOPAI0003-693510.1364/AO.414976], we showed that (i) the

References

SHOWING 1-10 OF 57 REFERENCES

Aliasing, coherence, and resolution in a lensless holographic microscope.

We have shown that the maximum achievable resolution of an in-line lensless holographic microscope is limited by aliasing and, for collimated illumination, cannot exceed the camera pixel size. This

Compact lensless phase imager.

This paper proposes and demonstrates a side illumination system which reduces the height by an order of magnitude while providing an unobstructed view of the sample and achieves this by shaping the illumination using multiplexed analog holograms that produce 9 illumination angles.

Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields.

  • A. SternB. Javidi
  • Mathematics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2006
The recording conditions that, together with the appropriate numerical reconstruction process, permit high-lateral-resolution reconstruction of in-line digital holograms are described and a simple high-resolution numerical reconstruction method is demonstrated.

Resolution enhancement in digital holography by self-extrapolation of holograms.

This work presents a method to circumvent the resolution limit in digital holography by self-extrapolating experimental holograms beyond the area that is actually captured by first padding the surroundings of the hologram and then conducting an iterative reconstruction procedure.

Inline hologram reconstruction with sparsity constraints.

This Letter suggests the use of a sparsity-promoting prior, verified in many inline holography applications, and presents a simple iterative algorithm for 3D object reconstruction under sparsity and positivity constraints.

Spatial bandwidth analysis of fast backward Fresnel diffraction for precise computer-generated hologram design.

By controlling two free variables related to the target image, the designed hologram is free from aliasing and can have minimum error, and this prescription is applied to precise three-dimensional image reconstruction.

On the single point resolution of on-axis digital holography.

On-axis digital holography is becoming widely used for its time-resolved three-dimensional imaging capabilities and the closed-form expressions of the Cramér-Rao lower bounds are obtained for a point source located on and out of the optical axis.

Sampling of the diffraction field.

Application of the new procedure to practical diffraction-related phenomena, like in-line holography, improves the processing efficiency without creating any associated artifacts on the reconstructed-object pattern.

Quantitative space-bandwidth product analysis in digital holography.

The space-bandwidth product (SBP) is a measure for the information capacity an optical system possesses and the outcome of this analysis results in the best SBP adapted digital holographic setup.

Resolution analysis of a digital holography system.

The resolution of a DH system can be determined for given parameters of these three factors, namely, the pixel averaging effect within the finite detection size of one pixel, a finite CCD aperture size limitation, and the sampling effect due to a finite sampling interval.
...