Digital Fresnel holography beyond the Shannon limits

Leclercq, Mathieu; Picart, Pascal

doi:10.1364/oe.20.018303

Cited by 14 publications

(4 citation statements)

References 25 publications

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“…In order to increase W to 3 mm for M = 8, we need to increase the coherence length to about 1 mm, which is equal to ∆λ = 0.32 nm at λ = 600 nm. We should note that the distribution of k m a, similar to the one given in figure 7, can potentially be recorded with aliasing without a grating [26], but the visibility of the fringes will be reduced because of the averaging of the image introduced by the finite size of the pixels [50,51]. The larger the fill factor of the sensor (the ratio of pixel size to pixel spacing), the faster the visibility decreases with increasing carrier frequency.…”

Section: Angular Multiplexing Using Additional Element In Reference Armmentioning

confidence: 87%

Multi-wavelength off-axis digital holographic microscopy with broadly tunable low-coherent sources: theory, performance and limitations

Gorevoy¹,

Polschikova²,

Мачихин³

et al. 2022

J. Opt.

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Multi-wavelength digital holographic microscopy (MDHM) is widely used in biological and industrial applications because of increased unambiguous height measurement range and the ability to measure concentration from the spectral dependence of phase delay. Acousto-optic tunable filters (AOTFs) provide the simultaneous selection of several bands with tunable central wavelengths to create a multiplexed hologram, but may limit the field of view (FOV) in off-axis holography because of the short coherence length of the filtered light. We analyzed the performance of the AOTF-based off-axis MDHM setup with a diffraction grating or a prism in the reference arm necessary to increase the efficiency of angular multiplexing. This allows varying the number of spectral channels selected simultaneously without setup realignment. Mathematical description relates the spectral bandwidth of the AOTF, tilt of the coherence plane induced by the angular dispersion of a prism or a grating, width of the FOV determined by interference pattern visibility, spatial resolution, and optimal intermediate wavelengths. We theoretically and experimentally demonstrated that the FOV may be expanded by changing the angle of light incidence on the AOTF and that the prism changes the wavelength dependence of the FOV. We validated this technique by single-shot acquisition of the height maps of the transparent test chart at four wavelengths with an error similar to that of four sequentially captured single-wavelength holograms. The results may be helpful for multiple applications of MDHM using spectrally tunable light sources.

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Section: Angular Multiplexing Using Additional Element In Reference Armmentioning

confidence: 87%

Multi-wavelength off-axis digital holographic microscopy with broadly tunable low-coherent sources: theory, performance and limitations

Gorevoy¹,

Polschikova²,

Мачихин³

et al. 2022

J. Opt.

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“…(39). Furthermore, the finite dimensions of the pixels and the coherence here are not taken into account [35].…”

Section: The Case Of An Anamorphic Optical Systemmentioning

confidence: 99%

Digital in-line holography assessment for general phase and opaque particle

Coëtmellec

Wichitwong

Gréhan

et al. 2014

J. Eur. Opt. Soc.-Rapid Publ.

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We propose using the circle polynomials to describe a particle's transmission function in a digital holography setup. This allows both opaque and phase particles to be determined. By means of this description, we demonstrate that it is possible to estimate the digital in-line hologram produced by a spherical particle. The experimental intensity distribution due to an opaque micro-inclusion is compared to the theoretical one obtained by our new model. Moreover, the simulated hologram and reconstructed image of the particle by an optimal fractional Fourier transformation under the opaque disk, quadratic phase, and quasi-spherical phase approximation are compared with the results obtained by simulating holograms by the Lorenz-Mie Theory (LMT). The Zernike coefficients corresponding to the considered particles are evaluated using the double exponential (DE) method which is optimal in various respects.

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“…The sampling conditions have been well studied in the DH systems [15][16][17][18][19][20][21]. In brief, for a band-limited input optical signal with the size L and spatial frequency bandwidth W, the information density or its space-bandwidth product (SBP) can be defined as SBP = LW, where only one dimension is considered for simplicity.…”

Section: Introductionmentioning

confidence: 99%

“…It was also demonstrated that these non-overlapping intervals could be significantly extended by applying the subtraction digital holography method [17,18]. The influence of the pixel dimension for hologram recordings beyond the Shannon limits was also investigated [19]. The space bandwidth available for recording an object wave in an off-axis configuration was extended by intentionally setting the aliasing to the recorded hologram [20].…”

Section: Introductionmentioning

confidence: 99%

Linearity and Optimum-Sampling in Photon-Counting Digital Holographic Microscopy

et al. 2022

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In the image plane configurations frequently used in digital holographic microscopy (DHM) systems, interference patterns are captured by a photo-sensitive array detector located at the image plane of an input object. The object information in these patterns is localized and thus extremely sensitive to phase errors caused by nonlinear hologram recordings (grating profiles are either square or saturated sinusoidal) or inadequate sampling regarding the information coverage (undersampled around the Nyquist frequency or arbitrarily oversampled). Here, we propose a solution for both hologram recording problems through implementing a photon-counting detector (PCD) mounted on a motorized XY translation stage. In such a way, inherently linear (because of a wide dynamic range of PCD) and optimum sampled (due to adjustable steps) digital holograms in the image plane configuration are recorded. Optimum sampling is estimated based on numerical analysis. The validity of the proposed approach is confirmed experimentally.

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Digital Fresnel holography beyond the Shannon limits

Cited by 14 publications

References 25 publications

Multi-wavelength off-axis digital holographic microscopy with broadly tunable low-coherent sources: theory, performance and limitations

Multi-wavelength off-axis digital holographic microscopy with broadly tunable low-coherent sources: theory, performance and limitations

Digital in-line holography assessment for general phase and opaque particle

Linearity and Optimum-Sampling in Photon-Counting Digital Holographic Microscopy

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