Characterization of diffraction patterns directly from in-line holograms with the fractional Fourier transform

Coëtmellec, Sébastien; Lebrun, Denis; Özkul, Cafer

doi:10.1364/ao.41.000312

Cited by 35 publications

(17 citation statements)

References 21 publications

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“…There are some notable exceptions where the hologram (complex-valued or otherwise) itself is processed directly [104][105][106][107][108], however these exceptions are not common. A goal of digital hologram image processing must be to develop the understanding and tools to analyse the digital holograms directly.…”

Section: Resultsmentioning

confidence: 99%

Phase in Optical Image Processing

Naughton¹,

Rastogi²,

Hack³

2010

AIP Conference Proceedings

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Abstract. The use of phase has a long standing history in optical image processing, with early milestones being in the field of pattern recognition, such as VanderLugt's practical construction technique for matched filters, and (implicitly) Goodman's joint Fourier transform correlator. In recent years, the flexibility afforded by phase-only spatial light modulators and digital holography, for example, has enabled many processing techniques based on the explicit encoding and decoding of phase. One application area concerns efficient numerical computations. Pushing phase measurement to its physical limits, designs employing the physical properties of phase have ranged from the sensible to the wonderful, in some cases making computationally easy problems easier to solve and in other cases addressing mathematics' most challenging computationally hard problems. Another application area is optical image encryption, in which, typically, a phase mask modulates the fractional Fourier transformed coefficients of a perturbed input image, and the phase of the inverse transform is then sensed as the encrypted image. The inherent linearity that makes the system so elegant mitigates against its use as an effective encryption technique, but we show how a combination of optical and digital techniques can restore confidence in that security. We conclude with the concept of digital hologram image processing, and applications of same that are uniquely suited to optical implementation, where the processing, recognition, or encryption step operates on full field information, such as that emanating from a coherently illuminated real-world three-dimensional object.

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Section: Resultsmentioning

confidence: 99%

Phase in Optical Image Processing

Naughton¹,

Rastogi²,

Hack³

2010

AIP Conference Proceedings

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“…) (x, y) (6) Consequently, this configuration can be compared to the case of a double exposure hologram of a single particle that would have been shifted along the vector ∆ 0 = ∆x 0 , ∆y 0 ,…”

Section: Digital Recording Of the Hologrammentioning

confidence: 99%

“…A significant number of articles deal with the different optical configurations or different methods for hologram reconstruction [6]- [9]. When both the velocity and the trajectories of the particles are wanted, it is also possible to record holograms using multiple exposures [10]- [12].…”

Section: Introductionmentioning

confidence: 99%

Dual wavelength digital holography for 3D particle image velocimetry

Grare

Coëtmellec

Allano

et al. 2015

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

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A multi-exposure digital in-line hologram of a moving particle field is recorded by two different wavelengths and at different times. As a result, during the reconstruction step, each hologram can be independently and accurately reconstructed for each wavelength. This procedure enables avoiding the superimposition of particles images that may be close to each other in multi-exposure holography. The feasibility is demonstrated by using a standard particle sizing reticle and shows the potential of this method for particle velocity measurement.

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“…The fractional Fourier transformation (FRFT) is used to reconstruct the image of an object [22]. The FRFT of order α ∈ C of a function f (r) is defined as [23]- [25] …”

Section: Reconstruction By Fractional Fourier Transformationmentioning

confidence: 99%

Digital in-line holography in a droplet with cavitation air bubbles

Coëtmellec

Pejchang

Allano

et al. 2014

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

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In this publication, the modelisation of an air bubble as inclusion in a droplet is treated from scalar theory point of view (Fresnel's theory). The elaborated model is compared with Lorenz-Mie scattering theory and with an experimental results. Circle polynomials and scaled pupil function are the background of this work to take into account the critical angle effect that arises at a transition from a higher index to a lower index medium.

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Characterization of diffraction patterns directly from in-line holograms with the fractional Fourier transform

Cited by 35 publications

References 21 publications

Phase in Optical Image Processing

Phase in Optical Image Processing

Dual wavelength digital holography for 3D particle image velocimetry

Digital in-line holography in a droplet with cavitation air bubbles

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