Applications of Fresnel diffraction from the edge of a transparent plate in transmission

Tavassoly, Mohammad Taghi; Hosseini, Seyed Roohollah; Fard, Ali Motazedi; Naraghi, Roxana Rezvani

doi:10.1364/ao.51.007170

Cited by 44 publications

(16 citation statements)

References 17 publications

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“…5c ) and the dispersant (pink color in Fig. 5c ) coating was made by using the Fresnel fringes [ 64 , 65 ] to identify thin layers of dispersant Dolapix CE64.…”

Section: Methodsmentioning

confidence: 99%

Direct Probing of Dispersion Quality of ZrO2 Nanoparticles Coated by Polyelectrolyte at Different Concentrated Suspensions

Sarraf¹,

Qian²,

Škarpová³

et al. 2015

Nanoscale Res Lett

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This study reports useful application of the electrokinetic sonic amplitude (ESA) technique in combination with rheometry and electron microscopy techniques for direct probing the stability of low and high-concentrated zirconia (ZrO2) nanosuspensions in the presence of an alkali-free anionic polyelectrolyte dispersant Dolapix CE64. A comparative study of the electrokinetic characteristics and the rheological behavior of concentrated ZrO2 nanosuspensions has been done. Good agreement was obtained from relationship between the electrokinetic characteristics (zeta potential, ESA signal), viscosity, and its pH dependence for each concentrated ZrO2 nanosuspension with different dispersant concentration in the range of 0.9–1.5 mass%. A nanoscale colloidal hypothesis is proposed to illustrate that the addition of different amounts of dispersant influences on both the stability and the electrokinetic and rheological properties of concentrated ZrO2 nanosuspensions. It is found that an optimum amount of 1.4 mass% dispersant at the inherent pH (>9.2) can be attached fully onto the nanoparticles with sufficient electrosteric dispersion effects, suitable for casting applications. Supplementary scanning electron microscopy (SEM) and high-resolution transmission electron microscopy (HR-TEM) analyses followed by colorization effect were taken to verify the visible interaction between dispersant and nanoparticles surfaces. SEM and HR-TEM images proved the existence of visible coverage of dispersant on the surface of individual nanoparticles and showed that thin polyelectrolyte layers were physically bound onto the particles’ surfaces. This study will be of interest to materials scientists and engineers who are dealing with dispersion technology, nanoparticle surface treatments, functionalization, characterization, and application of bio/nanoparticle suspensions at various concentrations using different types of polymers.

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“…5c ) and the dispersant (pink color in Fig. 5c ) coating was made by using the Fresnel fringes [ 64 , 65 ] to identify thin layers of dispersant Dolapix CE64.…”

Section: Methodsmentioning

confidence: 99%

Direct Probing of Dispersion Quality of ZrO2 Nanoparticles Coated by Polyelectrolyte at Different Concentrated Suspensions

Sarraf¹,

Qian²,

Škarpová³

et al. 2015

Nanoscale Res Lett

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“…6(a), the visibility of the three central fringes [11]: [11]. We emphasize that the accurate specification of 0  , which is possible by precision of / 200  , allows us to measure the step height, the refractive index of the plate, and the wavelength of the incident light very accurately, provided one or two of the referred parameters are given [17][18][19]. So far, considering the diffraction effect, we studied the interference of two parallel wavefronts with common border plane that do not overlap in ray optics approach.…”

Section: Fresnel Diffraction From a Phase Stepmentioning

confidence: 99%

“…A parallel beam of light illuminates a transparent plate mounted on goniometer G. A detector mounted perpendicular to the transmission beam, records the diffraction fringes of the plate edge. As it has been shown in references [17,18], by rotating the plate and recording the repetition of the visibility, one can measure the plate refractive index, plate thickness, light wavelength with high precision, provided one or two of the mentioned parameters are given [17,18]. Installing the plate inside a cell containing a liquid, and rotating the cell, permits one to measure the refractive index of the liquid [18].…”

Section: A Displacement Sensormentioning

confidence: 99%

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Fresnel Diffraction from Phase Steps and Its Applications

Tavassoly

Salvdari

2020

IJOP

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The well-established Fresnel diffraction occurs as an opaque object partially obstructs the passage of a coherent beam of light. In this process, the amplitude of the optical wave experiences a discontinuous change that leads to peculiar bright and dark fringes near the ray optics border of the beam. The fringe pattern varies very slowly by distance from the object and away from the beam border the diffraction effect is negligible. These behaviors have limited the applications of the conventional Fresnel diffraction very severely. In this article, we introduce a new kind of Fresnel diffraction that occurs due to discontinuous change in phase or phase gradient, in a part of a coherent beam of light. The change splits the beam into two diffracting wavefronts with common border that interfere with each other. In this kind of diffraction, the fringes may appear in the central part of the beam and their locations and visibilities are very sensitive to the phase change. Therefore, the researchers have utilized the effect in the measurements of different physical quantities, with high accuracy, using modest equipment. In this article, we use the Fresnel diffraction from the semi-infinite opaque screen (knife-edge) as the building block to describe the introduced effect, diffraction from the phase steps, and discuss its different aspects. We simulate the implied diffraction patterns, investigate the patterns by experiments, elaborate on the unique features of the effect, and present some interesting applications.

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“…The coherent illumination of a partially transparent half-plane bounded by a straight edge gives rise to a Fresnel diffraction pattern [8,9] as schematically shown in Fig. 1.…”

mentioning

confidence: 99%

Direct measurement of the x-ray refractive index by Fresnel diffraction at a transparent edge

et al. 2013

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We demonstrate the feasibility of measuring x-ray refractive indices by transparent edge diffraction without recourse to the Kramers-Kronig relations. The method requires a coherent x-ray source, a transparent sample with a straight edge, and a high resolution x-ray detector. Here, we use the aluminum Kα radiation originating from a laser-produced plasma to coherently illuminate the edge of thin aluminum and beryllium foils. The resulting diffraction patterns are recorded with an x-ray CCD camera. From least-squares fits of Fresnel diffraction modeling to the measured data we determine the refractive index of Al and Be at the wavelength of the Al Kα radiation (0.834 nm, 1.49 keV).

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Applications of Fresnel diffraction from the edge of a transparent plate in transmission

Cited by 44 publications

References 17 publications

Direct Probing of Dispersion Quality of ZrO2 Nanoparticles Coated by Polyelectrolyte at Different Concentrated Suspensions

Direct Probing of Dispersion Quality of ZrO2 Nanoparticles Coated by Polyelectrolyte at Different Concentrated Suspensions

Fresnel Diffraction from Phase Steps and Its Applications

Direct measurement of the x-ray refractive index by Fresnel diffraction at a transparent edge

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