Two-wave-plate compensator method for full-field retardation measurements

Experimental investigation on the internal stress of bismuth-doped fiber and its effect on the noise figure of Bismuth-doped fiber amplifier

The noise figure (NF) of a fiber amplifier is one of the key measures of amplification performance, which characterizes the quality of the amplified signal. Residual stresses are inevitably generated during the manufacturing process of optical fibers, and this can lead to changes in the refractive index (RI) distribution of the fiber. Further, the change in RI distribution causes the mode-field characteristics of the fiber to change as well, and this ultimately has an impact on the NF performance of the amplifier. However, until now, there have been fewer studies on the effect of residual stress on the NF of the fiber amplifiers. In this work, we took a commercial single-mode bismuth-doped fiber (BDF) as an example and used a self-developed stress test device to measure its residual stress and refractive index distribution and compare it with that of a passive fiber. We also comprehensively compared the distribution of residual stress and refractive index of the fiber at different pump powers and pump wavelengths. Finally, we performed numerical simulations of the bismuth-doped fiber amplifier (BDFA) based on the BDF under the theoretical mode field area and BDF after the expansion of the mode field area due to stresses to compare the NF performance. The results demonstrate that: the entire cross-section (core and cladding) of the BDF exhibits tensile stress (>0 MPa), where the residual stress at the core of the BDF is nearly 9.8 MPa higher than that of the passive fiber; The residual stress makes the mode-field area of the BDF expand by 26.7% compared with the theoretical values, which ultimately makes the NF of the BDFA rise from 4.6 dB to 4.7 dB; The stress at the BDF core is exacerbated by pump excitation, where it is elevated by about 26% and 5% compared to vacancy at 1240 nm and 1310 nm pumps, which is most likely attributed to thermal effects. Therefore, it is necessary to consider the effect of residual stresses in the fabrication of optical fibers to better achieve the radius of the expected indicators. This work contributes to the better development of O-band BDFAs, especially for pre-simulation of the actual performance of BDFAs with a practical reference.

Fiber Residual Stress Effects on Modal Gain Equalization of Few-Mode Fiber Amplifier

The modal gain equalization (MGE) of few-mode fiber amplifiers (FMFAs) ensures the stability of signal transmission. MGE mainly relies on the multi-step refractive index (RI) and doping profile of few-mode erbium-doped fibers (FM-EDFs). However, complex RI and doping profiles lead to uncontrollable residual stress variations in fiber fabrication. Variable residual stress apparently affects MGE due to its impacts on the RI. So, this paper focuses on the residual stress effects on MGE. The residual stress distributions of passive and active FMFs were measured using a self-constructed residual stress test configuration. As the erbium doping concentration increased, the residual stress of the fiber core decreased, and the residual stress of the active fibers was two orders of magnitude lower than that of the passive fiber. Compared with the passive FMF and the FM-EDFs, the residual stress of the fiber core completely transformed from tensile stress to compressive stress. This transformation led to an obvious smooth RI curve variation. The measurement values were analyzed with FMFA theory, and the results show that the differential modal gain of the FMFA increased from 0.96 to 1.67 dB as the residual stress decreased from 4.86 to 0.01 MPa.

Segmentation, retardation and mass approximation of birefringent particles on a standard light microscope

This study presents a simple technique for the approximation of retardation, thickness and mass of birefringent particles with a retardation from 8 to 231 nm retardation. Tuning of the imaging system (standard light microscope equipped with a left and a right circular polarizer) to match grey values of polymer retarder films of known retardation with rendered grey values allows for a robust calibration and accurate approximation of retardation. In addition, a technique for accurate particle segmentation using a Canny-Deriche algorithm was used to minimize the bias on mass estimated from different thresholding techniques. The technique was tested using microscopic calcitic plates called coccoliths produced by the marine algal group coccolithophores, and the results compare well with published coccolith mass estimates obtained from volumetric analysis. LAY DESCRIPTION: Material with certain optical properties display interference colours when observed in a light microscope under circular polarized light. This study presents a simple technique for measuring the thickness and retardation of small particles within the 8 to 231 nm retardation range based on the grey values of their interference colours. Retardation is a measure of the distance between waves of two mutually perpendicular polarized light waves after passing through material. The technique involves the tuning of a standard light microscope system equipped with a left and a right circular polarizer and a digital camera to match grey values of polymer retarder films with a known retardation with grey values of a digitially rendered Michel-Lévy chart. A technique for accurate isolation of particles from the image background using a Canny-Deriche algorithm is also described, which avoids possible biased results from thresholding. The techniques were tested using microscopic calcitic plates called coccoliths produced by the marine algal group coccolithophores, and the results compare well with published estimates obtained from volumetric analysis.

Single-shot digital holographic microscopy for quantifying a spatially-resolved Jones matrix of biological specimens

Field-based polarization measurements are essential for the completeness of information when exploiting the complex nature of optical responses of target objects. Here, we demonstrate digital holographic microscopy for quantifying a polarization-sensitive map of an object with a single-shot measurement. Using the image-splitting device generating four different copies of an object image and a separate reference beam of an off-axis configuration enables single-shot and multi-imaging capability. With the use of two polarization filters, four complex field images containing an object's polarization response are obtained simultaneously. With this method, we can construct a complete set of 2-by-2 Jones matrix at every single point of the object's images, and thus clearly visualize the anisotropic structures of biological tissues with low level of birefringence. This method will facilitate the high-precision measurements for fast dynamics of the polarization properties of biological specimens.

Influence of measurement noise on the determination of the radial profile of the photoelastic coefficient in step-index optical fibers

We discuss a measurement method that aims to determine the radial distribution of the photoelastic constant C in an optical fiber. This method uses the measurement of the retardance profile of a transversely illuminated fiber as a function of applied tensile load and requires the computation of the inverse Abel transform of this retardance profile. We focus on the influence of the measurement error on the obtained values for C. The results suggest that C may not be constant across the fiber and that the mean absolute value of C is slightly larger for glass fibers than for bulk fused silica. This can, for example, influence the accuracy with which one is able to predict the response of optical fiber sensors used for measuring mechanical loads.

Accurate cross-sectional stress profiling of optical fibers

A novel technique for determining two-dimensional, cross-sectional stress distributions in optical fibers and fiber-based devices is presented. Use of the Brace-Köhler compensator technique and a polarization microscope for the measurement of retardation due to stress-induced birefringence is described, along with the tomographic reconstruction process for the determination of stress. Measurements are performed on Corning SMF-28 fiber in an unperturbed section, a section near a cleaved end-face, and a section exposed to CO2 laser radiation. Cross-sectional stress distributions are presented. Stress relaxation is quantified in the cleaved fiber and the fiber exposed to CO2 laser radiation.

Algorithm performance in the determination of the refractive-index profile of optical fibers

Three algorithms for computing the refractive-index profile of azimuthally symmetric optical fibers via the inverse Abel transform are compared to determine their relative accuracies. Appropriate values of algorithm parameters are also determined. The direct differentiation algorithm, the iterative algorithm, and the Fourier algorithm are used to calculate the refractive-index profile from simulated measurements of the phase shift of light transmitted transversely through the fiber. The rms error in the calculated index profile is used to quantify the accuracy of each algorithm. The Fourier algorithm is typically the most accurate of the three.