Simulation of speckle complex amplitude: advocating the linear model

Equis, Sébastien; Jacquot, Pierre

doi:10.1117/12.696013

Cited by 30 publications

(18 citation statements)

References 13 publications

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“…In order to evaluate the performance of the TSI technique and to study different optic phenomena and their associated errors, a numerical model that simulates the speckle fields recorded was developed 2 . This model is an extension of the one presented by Equis et al 3 and is based on the convolution of the optical impulsive response of the optical system and the incident field amplitude.…”

Section: Introductionmentioning

confidence: 99%

Tilt scanning interferometry: a 3D k-space representation for depth-resolved structure and displacement measurement in scattering materials

2010

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Tilt Scanning Interferometry (TSI) has been recently developed as an experimental method to measure multi-component displacement fields inside the volume of semitransparent scattering materials. It can be considered as an extension of speckle interferometry in 3D, in which the illumination angle is tilted to provide depth information, or as an optical diffraction tomography technique with phase detection. It relies on phase measurements to extract the displacement information, as in the usual 2D counterparts. A numerical model to simulate the speckle fields recorded in TSI has been recently developed to enable the study on how the phase and amplitude are affected by factors such as refraction, absorption, scattering, dispersion, stress-optic coupling and spatial variations of the refractive index, all of which may lead to spurious displacements. In order to extract depth-resolved structure and phase information from TSI data, the approach had been to use Fourier Transformation of the intensity modulation signal along the illumination angle axis. However, it turns out that a more complete description of the imaging properties of the system for tomographic optical diffraction can be achieved using a 3D representation of the transfer function in k-space. According to this formalism, TSI is presented as a linear filtering operation. In this paper we describe the transfer function of TSI in 3D k-space, evaluate the 3D point spread function and present simulated results.

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Section: Introductionmentioning

confidence: 99%

Tilt scanning interferometry: a 3D k-space representation for depth-resolved structure and displacement measurement in scattering materials

2010

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“…Numerical laser speckle simulations, such as those given by Goodman [10] and Equis and Jacquot [11], often use relations in the Fourier domain which make inherent use of the Huygens-Fresnel principle under a paraxial approximation. Since diffuse reflections of laser light on a rough surface do not satisfy this assumption, a numerical approximation of the Huygens-Fresnel principle in the spatial domain forms the core part of our approach.…”

Section: Introductionmentioning

confidence: 99%

A numerical approximation of the Huygens-Fresnel integral – Simulations of a rough wetting problem

Hofer

Zagar

2013

Measurement

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a b s t r a c tComputing numerical approximations of the Huygens-Fresnel principle in three dimensions is demanding in terms of time and hardware, but thanks to massive parallelization in GPGPU-enabled graphics cards these computations can be sped up considerably. Our newly developed software framework is capable of simulating many wave propagationrelated problems. Although it was initially intended to generate laser speckle images for various real physical setups used to measure the surface roughness of sheet metal and/ or the oil film thickness upon it, it turned out to also be suitable for larger setups and apertures. This paper gives a short overview of the underlying physical and mathematical concepts and elaborates on the strengths and weaknesses of the numerics. We describe the theoretical background of rough wetting and the core parts of the software. Further, we present several test cases using apertures and their known Fraunhofer diffraction patterns and objective speckle patterns generated for rough surfaces.

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“…3, di®ractive theory and Fourier transform were applied as below. 14 In the paraxial approximation, di®raction theory reduces to a very simple and general formula:…”

Section: Simulating the Speckle¯eld (With Both Phase And Amplitude) Bmentioning

confidence: 99%

Time-reversed optical focusing through scattering media by digital full phase and amplitude recovery using a single phase-only SLM

Yang

Sang

2015

J. Innov. Opt. Health Sci.

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Focusing light though scattering media beyond the ballistic regime is a challenging task in biomedical optical imaging. This challenge can be overcome by wavefront shaping technique, in which a time-reversed (TR) wavefront of scattered light is generated to suppress the scattering. In previous TR optical focusing experiments, a phase-only spatial light modulator (SLM) has been typically used to control the wavefront of incident light. Unfortunately, although the phase information is reconstructed by the phase-only SLM, the amplitude information is lost, resulting in decreased peak-to-background ratio (PBR) of optical focusing in the TR wavefront reconstruction. A new method of TR optical focusing through scattering media is proposed here, which numerically reconstructs the full phase and amplitude of a simulated scattered light¯eld by using a single phase-only SLM. Simulation results and the proposed optical setup show that the timereversal of a fully developed speckle¯eld can be digitally implemented with both phase and amplitude recovery, a®ording a way to improve the performance of light focusing through scattering media.

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Simulation of speckle complex amplitude: advocating the linear model

Cited by 30 publications

References 13 publications

Tilt scanning interferometry: a 3D k-space representation for depth-resolved structure and displacement measurement in scattering materials

Tilt scanning interferometry: a 3D k-space representation for depth-resolved structure and displacement measurement in scattering materials

A numerical approximation of the Huygens-Fresnel integral – Simulations of a rough wetting problem

Time-reversed optical focusing through scattering media by digital full phase and amplitude recovery using a single phase-only SLM

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