Determination of GR-IN optical fibre parameters from transverse interferograms considering the refraction of the incident ray by the fibre

Hamza, A.A.; Mabrouk, M.; Ramadan, W. A.; Shams-Eldin, M.A.

doi:10.1016/s0030-4018(01)01561-9

Cited by 20 publications

(15 citation statements)

References 11 publications

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“…Following the analysis described in references [17,18], the infinitesimal change in metric distance along the ray path with respect to the radius variation is given by…”

Section: A Refractive Index and Stress Profiles Of A Homogenous Bentmentioning

confidence: 99%

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Two-dimensional refractive index and stresses profiles of a homogenous bent optical fiber

2014

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We present a significant contribution to the theory of determining the refractive index profile of a bent homogenous optical fiber. In this theory we consider two different processes controlling the index profile variations. The first is the linear index variation due to stress along the bent radius, and the second is the release of this stress on the fiber surface. This release process is considered to have radial dependence on the fiber radius. These considerations enable us to construct the index profile in two dimensions normal to the optical axis, considering the refraction of light rays traversing the fiber. This theory is applied to optical homogenous bent fiber with two bending radii when they are located orthogonal to the light path of the object arm in the holographic setup (like the Mach-Zehnder interferometer). Digital holographic phase shifting interferometry is employed in this study. The recorded phase shifted holograms have been combined, reconstructed, and processed to extract the phase map of the bent optical fiber. A comparison between the extracted optical phase differences and the calculated one indicates that the refractive index profile variation should include the above mentioned two processes, which are considered as a response for stress distribution across the fiber's cross section. The experimentally obtained refractive index profiles provide the stress induced birefringence profile. Thus we are able to present a realistic induced stress profile due to bending.

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“…Following the analysis described in references [17,18], the infinitesimal change in metric distance along the ray path with respect to the radius variation is given by…”

Section: A Refractive Index and Stress Profiles Of A Homogenous Bentmentioning

confidence: 99%

“…A function of the refractive index profile is set based on the stress expectation. This function is used to integrate the optical path for each ray transversed fiber [17,18]. The appropriate parameters of this function are used to estimate the optical phase differences, which give a good agreement with the experimental one.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional refractive index and stresses profiles of a homogenous bent optical fiber

2014

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“…[98] An opto-thermal device attached to automate Fizeau interferometer is used to investigate the influence of temperature on opto-thermal properties of multi-mode graded-index (GRIN) optical fiber and on fiber strucutre in a range from 27 to 54 °C. [99]- [101] Multiple-beam interferometry (MBI) of the Fizeau type is used to investigate multi-mode step-index optical fibers. Two different types of multi-mode step-index optical fibers are studied.…”

Section: Current Developments In Optical Fiber Technologymentioning

confidence: 99%

Characterization of Optical Fibers by Multiple-Beam Interferometry

El-Diasty¹

2013

Current Developments in Optical Fiber Technology

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“…The calculated optical parameters n o , Δn with their standard error (Sd) and ∆ are presented in table 1. The accuracy of the measurements of these optical parameters using the digital holographic method is increased in comparison to the accuracy of the multiple-beam Fizeau fringes and the two-beam interference Pluta polarizing microscope (Hamza et al, 2001). The corresponding parameters  o and  c for the centre of the core and the cladding of the optical waveguide respectively are determined.…”

Section: Mode Field Distribution Of Grin Optical Waveguidesmentioning

confidence: 99%

“…This model was verified with two-beam and multiple-beam interferometers. The consideration of incident beam refraction gave a better accuracy in the determination of the optical parameters of graded index optical fibres (Hamza et al, 1995(Hamza et al, , 2001, thick optical fibres and mechanically stressed optical fibres (Sokkar et al, 2008) than without this consideration. Automated Fizeau interferometric techniques were applied in studies of the optical and optothermal properties of fibres (ElMorsy et al, 2002a(ElMorsy et al, , 2002bHamza et al, 2007).…”

Section: Introductionmentioning

confidence: 99%