Refractive Deviation Errors of Interferograms

Kahl, Gerhard; Mylin, Donald C

doi:10.1364/josa.55.000364

Cited by 28 publications

(9 citation statements)

References 3 publications

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“…A second kind is th e profile in which, for exam ple, n(r) ap p aren tly increases from fibre centre to some point inside th e fibre surface and then decreases w ith distance closer to the fibre surface. Such a profile was also reported by Roche al. (1986).…”

Section: Introductionsupporting

confidence: 88%

“…One form is an ap p are n t v ariatio n in n(r) near th e fibre surface, w hen n(r) is really constant. This was reported in analysis of a glass fibre by Roche et al (1986). A second kind is th e profile in which, for exam ple, n(r) ap p aren tly increases from fibre centre to some point inside th e fibre surface and then decreases w ith distance closer to the fibre surface.…”

Section: Introductionmentioning

confidence: 76%

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Correct ray-tracing analysis for interference microscopy of fibres

Davis

Batra

1995

Proc. R. Soc. Lond. A

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A ray-tracing analysis for calculating, by means of interference microscope data, the radial distribution of refractive index, n ( r ), for fibres of round cross section has been formulated, solved, tested and used to determine n ( r ) for high-speed direct-spun polyethylene terephthalate (PET) fibres. The formulation was based on work by Kahl & Mylin (1965) originally performed to explore the radial density profiles in cylindrically symmetrical explosions. The equations were formulated with proper boundary conditions at the fibre surface, correcting a fundamental error that has caused problems for 20 years. This correct boundary condition unfortunately made it impossible to invert, as had been done in all previous work, the resulting integral equations, which consequently were solved by a nonlinear least-squares approximation. The analysis corrected a serious problem noted in the literature: namely, that the refractive index profile obtained for a particular fibre depended on the refractive index of the immersion liquid used to make the measurement. Refractive index profiles observed for PET fibres produced by high-speed direct spinning had concave-down curvature, the opposite of expectations based on previous work. This initial result suggests that when direct-spun, under crystallizing conditions, PET fibres develop a mainly radial density or quench profile, whereas fibres spun under conditions that give little crystallinity have a mainly radial orientation gradient. Experiments to test this suggestion further have not been done yet.

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Section: Introductionsupporting

confidence: 88%

Section: Introductionmentioning

confidence: 76%

Correct ray-tracing analysis for interference microscopy of fibres

Davis

Batra

1995

Proc. R. Soc. Lond. A

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“…This system depends on two different techniques; double‐beam interference and photoelasticity. The accuracy of calculating the refractive indices using Pluta polarizing interference microscope (Pluta, ) is ± 3 × 10 −3 (Pluta, ; Kahl & Mylin, ). By contrast, the accuracy of determining the isochromatic fringe orders depending on the number of pixels between two consecutive orders, that is, ∆N P = ± 0.008.…”

Section: Experimental Techniquementioning

confidence: 99%

A novel simultaneous photoelastic and two‐beam interferometric system: I. Dynamic full‐field evaluation of the elasticity modulus profile of polymeric fibres

Hamza

Sokkar

El‐Farahaty

et al. 2014

Journal of Microscopy

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Summary A novel optical setup for simultaneous capturing of photoelastic and two‐beam interference patterns was designed. The designed optical setup was used to simultaneously record two types of patterns. The first pattern is two‐beam interference pattern, and the second one is photoelastic interference pattern produced by objects under stress. This simultaneous capturing of the two patterns allowed us to calculate the full‐field distribution of the elasticity modulus profile of fibres. A mathematical expression of the profile of the elasticity modulus was derived. This was applied to evaluate the elasticity modulus of anisotropic isotactic polypropylene fibres during stretching processes. The profile of the elasticity modulus was determined for both static and dynamic in situ cases where the propagation of different structural deformations was observed and studied using the designed optical setup. Patterns were given for illustration.

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“…Therefore, the change in optical path due to refraction must be taken in account to get an precise measurement of the fiber index profiles. Kahl and Mylin [108] used the ray tracing method to study analytically the effect of refractive deviation on interferograms of cylindrical and planer objects. The results indicated that the effects are additive and classified into three categories: disturbed deviation due to object only, misfocusing deviation and deviation in dense thick plates.…”

Section: Fiber-index Determination Considering Refraction Due To Fibementioning

confidence: 99%

Characterization of Optical Fibers by Multiple-Beam Interferometry

El-Diasty¹

2013

Current Developments in Optical Fiber Technology

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Refractive Deviation Errors of Interferograms

Cited by 28 publications

References 3 publications

Correct ray-tracing analysis for interference microscopy of fibres

Correct ray-tracing analysis for interference microscopy of fibres

A novel simultaneous photoelastic and two‐beam interferometric system: I. Dynamic full‐field evaluation of the elasticity modulus profile of polymeric fibres

Characterization of Optical Fibers by Multiple-Beam Interferometry

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