Quantitative space-bandwidth product analysis in digital holography

Claus, Daniel; Iliescu, Daciana; Bryanston-Cross, Peter John

doi:10.1364/ao.50.00h116

Cited by 53 publications

(25 citation statements)

References 11 publications

(13 reference statements)

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“…Let us now note that for a 5 μm pixel size, an offaxis setup can resolve spatial features no smaller than Δx 10 μm [29], where for the in-line setup, it is known both theoretically and demonstrated in this example that object spatial features with details Δx 5 μm can be exactly resolved.…”

Section: Performance Analysis Of Compressive Seol Holographymentioning

confidence: 90%

Improved depth resolution by single-exposure in-line compressive holography

2012

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A single-exposure in-line (SEOL) holography is a digital holographic setup that has been used in the study of cell identification. In this paper we demonstrate improved three-dimensional performance of the SEOL holography setup by applying the principles of the recently introduced compressive-sensing theory. This, along with proper modeling of the sensing process, enables improved depth-resolution features, especially when considering noisy environments. We then study and demonstrate that by using the proper reference and object-beam amplitude partition, the compressive SEOL holography setup is found to be almost ideal. This occurs since it allows the recovery of low-signal-to-noise-ratio objects and rapid acquisition rate associated with the off-axis holography setup, combined with the high resolution and field of view associated with the in-line holography setup.

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Section: Performance Analysis Of Compressive Seol Holographymentioning

confidence: 90%

Improved depth resolution by single-exposure in-line compressive holography

2012

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“…Being able to determine the space-frequency window as a function of the system parameters as we have shown, and the possibility of tailoring and optimizing it, has potential applications in areas including optical superresolution [21,22,[47][48][49][50][51], holographic imaging [5,43,[52][53][54][55], optical design [56], optical encryption systems [57], analysis and design of recording devices [16,23], and comparison between different implementations of a particular system [58], where apertured optical systems are involved.…”

Section: Resultsmentioning

confidence: 99%

Phase-space window and degrees of freedom of optical systems with multiple apertures

Özaktaş

Oktem

2013

J. Opt. Soc. Am. A

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We show how to explicitly determine the space-frequency window (phase-space window) for optical systems consisting of an arbitrary sequence of lenses and apertures separated by arbitrary lengths of free space. If the space-frequency support of a signal lies completely within this window, the signal passes without information loss. When it does not, the parts that lie within the window pass and the parts that lie outside of the window are blocked, a result that is valid to a good degree of approximation for many systems of practical interest. Also, the maximum number of degrees of freedom that can pass through the system is given by the area of its spacefrequency window. These intuitive results provide insight and guidance into the behavior and design of systems involving multiple apertures and can help minimize information loss.

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“…To improve the accuracy in object detection, the phase information, which is accessible in most DHM techniques, can be combined with the intensity information. To retrieve the phase information, off-axis DHM contains an angled reference wave that can reconstruct the phase information without ambiguity but at a cost of reduced spatial resolution [13]. In contrast, inline DHM has higher lateral resolution compared to the off-axis setup.…”

Section: Introductionmentioning

confidence: 99%

Object plane detection and phase retrieval from single-shot holograms using multi-wavelength in-line holography

Zhang¹,

Stangner²,

Wiklund³

et al. 2018

Appl. Opt.

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Phase retrieval and the twin-image problem in digital in-line holographic microscopy can be resolved by iterative reconstruction routines. However, recovering the phase properties of an object in a hologram needs an object plane to be chosen correctly for reconstruction. In this work, we present a novel multi-wavelength Gerchberg-Saxton algorithm to determine the object plane using single-shot holograms recorded with multiple wavelengths in an in-line holographic microscope. For micro-sized objects, we verify the object positioning capabilities of the method for various shapes and derive the phase information using synthetic and experimental data. Experimentally, we built a compact digital in-line holographic microscopy setup around a standard optical microscope with a regular RGB-CCD camera and acquire holograms of micro-spheres, E. coli and red blood cells, that are illuminated using three lasers operating at 491 nm, 532 nm and 633 nm, respectively. We demonstrate that our method provides accurate object plane detection and phase retrieval under noisy conditions, e.g., using low-contrast holograms without background normalization. This method allows for automatic positioning and phase retrieval suitable for holographic particle velocimetry, and object tracking in biophysical or colloidal research.

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Quantitative space-bandwidth product analysis in digital holography

Cited by 53 publications

References 11 publications

Improved depth resolution by single-exposure in-line compressive holography

Improved depth resolution by single-exposure in-line compressive holography

Phase-space window and degrees of freedom of optical systems with multiple apertures

Object plane detection and phase retrieval from single-shot holograms using multi-wavelength in-line holography

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