Twistability of the path of radiation propagating in an absorbing medium

The effect of rotation of the speckle pattern accompanying the propagation of radiation in an absorbing multimode optical fiber is predicted in the geometrical optics approximation. The direction of the angle of rotation of the speckle pattern at the fiber exit is determined by the photon helicity. The absolute value of the angle of rotation is proportional to the square of the fiber length.     

Speckle-pattern rotation in a few-mode optical fiber in a longitudinal magnetic field

The process of rotation of a speckle pattern at the output of a few-mode optical fiber in a longitudinal magnetic field is mathematically modeled. It is shown that the deviation from a linear relation between the rotation angle of a speckle pattern at the output of a few-mode fiber and the fiber length in the presence of a longitudinal magnetic field results from a specific dependence of polarization corrections to the propagation constants of TE and TM modes. The calculation results are compared with the results of an experiment on determining the rotation angle of a speckle pattern as a function of magnetic field in a fiber of constant length.     

Optical method for detecting variations of the magnetic field strength

A method of detecting the magnetic field variation is proposed and implemented experimentally. The method employs the rotation of the speckle pattern of light transmitted through an optical fiber that is placed into a longitudinal magnetic field and the recording of a holographic grating in a photorefractive crystal using the speckle field. The possibility of detecting the shape of a 0.15-s magnetic field pulse is demonstrated experimentally.     

Angular dependence of screen speckle and fiber speckle of coupled output of nine high-power blue laser diodes through a multi-mode fiber

Angular dependence of speckle contrast of speckle pattern projected out of a multi-mode fiber connected to a high-power blue laser module is investigated. The laser module has nine high-power InGaN/GaN blue laser diodes arranged in a three-by-three array. Each of the arrayed laser diodes have slightly different incident angle to the fiber. We have successfully extracted the fine screen speckle pattern from the projected pattern mixed up with the coarse fiber speckle pattern by processing the measured data. It is found that the speckle contrast of the both screen and fiber speckles are larger around the center area where the guided-light component closest to the paraxial direction is projected. This is because the output of the center laser in the array is likely to couple into the paraxial mode more than the rest. Speckle contrast behaviors when applying the speckle reduction methods, fiber vibration, diffuser, and spinning diffuser are also investigated.     

Improvement of the dynamic range of a fiber specklegram sensor based on volume speckle recording in photorefractive materials

In this work, the improvement of the dynamic range of a micro displacement sensor based on fiber specklegrams holographically stored in a photorefractive BSO (Bi₁₂SiO₂₀) crystal is reported. In our experimental setup, a plastic optical fiber (POF) was used to generate a subjective speckle pattern that was recorded in the crystal using a two-wave mixing arrangement. The speckle size was controlled by modifying the diameter of a pupil aperture adjacent to a lens producing the image of the speckle. Fringe patterns were obtained at the output of the system by producing micro displacements of the fiber output end. An increase in the visibility of the fringe patterns was appreciated when the pupil aperture diameter decreased even without controlling the average modulation of the intensity of the light pattern, i.e. when the speckle length increased and the average light modulation simultaneously decreased. This behavior allowed recovering the autocorrelation functions of fringe patterns associated with displacements that initially led to decorrelation, and therefore, significantly to improve the dynamic range of the metrological system. To the best of our knowledge this is the first report about the influence of speckle size on the dynamic range of fiber specklegrams sensors recorded on photorefractive materials.     

Influence of the volume speckle on fiber specklegram sensors based on four-wave mixing in photorefractive materials

In this work, the dependence on the speckle size in the performance of a micro displacement sensor based on fiber specklegrams stored in a photorefractive BSO (Bi₁₂SiO₂₀) crystal is experimentally demonstrated. In our experimental setup, a plastic optical fiber (POF) was used to generate a subjective speckle pattern which was recorded in the crystal by using a four-wave mixing arrangement in transmission geometry. The speckle size was controlled by modifying the diameter of a pupil aperture adjacent to a lens producing the image of the speckle. The signal speckle beam was mixed into the crystal with two counter propagating pump beams to generate a fourth beam which is proportional to the conjugate of the original speckle beam. Real time fringe patterns were obtained at the output of the system by producing micro displacements of the fiber output end. Increases of the phase conjugation reflectivity and the visibility of the fringe patterns were appreciated when the speckle length was increased by decreasing the pupil aperture diameter. This behavior allowed recovering the autocorrelation functions of fringe patterns associated to micro displacements that initially led to decorrelation, and therefore, to improve the dynamic range of the metrological system. Until the best of our knowledge this is the first report about the influence of the speckle size on fiber specklegrams sensors recorded on photorefractive materials by four-wave mixing.     

Effect of image fiber on the speckle fringe pattern in image fiber-guided DSPI endoscopy

The effect of using an image fiber on the speckle fringe visibility in an endoscopic DSPI is analyzed here. An endoscope system was designed and developed, using image fiber as the speckle pattern image conduit, to work in the out-of-plane speckle interferometric configuration and experiments were carried out using a curved phantom tissue specimen as the test target. Experimental results obtained using the developed system are compared with that obtained using conventional DSPI system. To obtain a relative and quantitative comparison of the quality of the fringes obtained employing the two methods, an evaluation method that can give a quantified ‘score’ is proposed here.     

Evaluation of the mode scrambler characteristics in terms of the speckle contrast

A new mode scrambler with sinusoidally serpentine bends is experimentally studied by analyzing both the half width and the average contrast of the far-field speckle pattern of an emitting light from a short multimode fiber. It is found that, as the number of bendings increases, the speckle contrast approaches a certain constant low level where the steady state mode power distribution is achieved.     

Digital Photography in Measuring the Inclination of the Object Surface with Formation of a Speckle Structure

Optical schemes for measuring surface inclination due to shift or deformation are considered. Speckle-interferometry methods are used. The distinguished features of these schemes are connected with using a digital photocamera and a forming speckle structure in nonmonochromatic light. Several technical solutions are proposed making it possibile to measure inclination with an accuracy up to tenths of degree using standard cheap equipment. To form the speckle structure, the pattern of a random binary structure with unit size of several millimeters is used in the base fixed plane. The digital camera was placed in the analyzed plane and turned together with the plane. It registered a reduced image of the pattern. The registration was done for two positions of the surface, the pattern being illuminated by the camera flash lamp. Measuring the width and orientation of the interference fringes formed for the two speckle structures allows one to determine the inclination and orientation of the rotation axis.     

Refractive index profiling of a GRIN optical fiber using a modulated speckled sheet of light

A method for calculating the refractive index of GRIN optical fiber from its transverse interference pattern is presented.In this method the transverse interference fringe pattern through an optical fiber using a sheet of light is applied to get the refractive index profile of it. The optical fiber is not immersed in a matching liquid as used in different techniques [Barakat N, El-Hennawi HA, El-Zaiat SY, Hassan R. Pure Appl Opt 1996;5:27].In this method a sheet of He–Ne laser light is allowed to illuminate the fiber. The light sheet is divided into two parts, the first is refracted through the fiber while the second is used as a reference beam. Interference pattern will be obtained between these two rays displaying the refractive index variation along the fiber radius.The fringe shift of such interference pattern has been measured and used to calculate the deflection angle of light refracted by the fiber and the cladding. An equation is derived to calculate the refractive index profile difference ratio δn at different positions across the fiber cross section in terms of the corresponding deflection angle and is verified experimentally.The optical path difference between these two rays (refracted and reference beam divided by the fiber) has been derived and the fringe shift obtained has been used to calculate the refractive index profile of the fiber.Introducing a ground glass screen on the passage of the two light beams (refracted and reference beam divided by the fiber), two superimposed identical speckle patterns are formed leading to the formation of a third speckle pattern modulated by a grid structure displaying the optical thickness of the fiber.     

内窥式散斑类共聚焦系统层析能力分析

本文研究了内窥式散斑类共聚焦系统(Endoscope-based speckle quasi-confocal system,EBSQCS)的层析能力。从散斑类共聚焦显微镜(Speckle quasi-confocal microscope,SQCM)成像原理出发,详细分析了内窥镜光学结构对散斑类共聚焦显微镜散斑场波动的影响规律,推导了内窥镜光学结构与内窥式散斑类共聚焦系统轴向分辨力的关系。实验测得了基于光纤束的内窥式散斑类共聚焦系统的轴向分辨力曲线。选用放大倍率4倍,光纤直径5μm的内窥镜系统的内窥式散斑类共聚焦系统轴向分辨力曲线的全峰半高是散斑类共聚焦显微镜的2.3倍,与理论计算值相符。实验结果表明内窥式散斑类共聚焦系统具有很好的轴向层析能力。     

旋转孔径散斑照相法用于动态三维位移场的研测

采用两套旋转孔径散斑照相系统对动态三维位移场进行了研测。一次实验可把缓慢连续变形体的动态三维位移场的整个变化过程记录于两张散斑图上．对散斑图进行全场滤波可摄取所有各时刻的三个位移分量的信息。     

利用振动光纤减弱激光散斑的研究

在激光投影显示技术中,引入振动光纤的方法能够以较小的能量损失减弱激光散斑.本文利用广义范西特-泽尼克定理对激光投影显示中采用振动光纤抑制散斑做了理论分析.结果表明,散斑衬比度的大小取决于光纤的模式数和投影系统的光瞳大小,对于相同大小的像面,收集更多的光纤模式数和增大孔径均可减弱散斑衬比度.用两种不同的多模光纤所做的对比...     

利用振动光纤减弱激光散斑的研究

在激光投影显示技术中,引入振动光纤的方法能够以较小的能量损失减弱激光散斑.本文利用广义范西特-泽尼克定理对激光投影显示中采用振动光纤抑制散斑做了理论分析.结果表明,散斑衬比度的大小取决于光纤的模式数和投影系统的光瞳大小,对于相同大小的像面,收集更多的光纤模式数和增大孔径均可减弱散斑衬比度.用两种不同的多模光纤所做的对比实验定性证实了这一结论.研究结果对光纤的选择和投影系统的设计有一定的指导意义.     

Evaluation of the quality of a speckle pattern in the digital image correlation method by mean subset fluctuation

The quality of the speckle pattern used in digital image correlation is studied in this paper using a parameter called mean subset fluctuation. A numerical translation test is performed on four speckle patterns captured from actual experiments. The translated images are analyzed and the results show that the mean bias error of the calculated displacement is linear with the value of the mean subset fluctuation. The results from the numerical calculation illustrate that speckle size and density have an influence on the quality of speckle pattern.     

Comparison of phase recovery methods in spiral speckle pattern interferometry correlation fringes

Spiral interferometry can be used as a solution to the problem of sign ambiguity presented in the conventional speckle pattern interferometric technique when the optical phase needs to be reconstructed from a single closed fringe system. Depressions and elevations of the topography corresponding to the object deformation are distinguished by the direction of rotation of the local spiral fringe pattern. In this work, we implement and compare several methods for optical phase reconstruction by analyzing a single image composed of spiral speckle pattern interferometry correlation fringes. The implemented methods are based on contour line demodulation, center line demodulation, Spiral Phase Quadrature Transform and the 2D Riesz transform with multivector structure. Contour line and center line demodulation approaches are exclusively dedicated to images containing a fringe system with spiral structure. The others are based on the 2D Riesz transform, these being well known approaches in conventional interferometry. We examine simulated experiments and analyze some of the emerging drawbacks for solving the phase reconstruction problem by using different mean values of speckle size and background noise levels. We also discuss several numerical procedures that may well improve the efficiency and robustness of the presented numerical implementations. The performance of the implemented demodulation methods is evaluated by using a universal image quality index and therefore a quantitative comparison is also presented.     

Mechanism of speckle reduction in laser-microscope images using a rotating optical fiber

The reduction mechanism of speckles appearing in laser-microscope images is studied theoretically and experimentally when an object is illuminated by laser light through a rotating multimode optical fiber. The principle of the speckle reduction is based on independent addition of microscope images with boiling-like speckles as a result of the rotational motion of the optical fiber used for illumination. Especially, the speckle reduction is evaluated from first-order statistics of the speckle intensity in which its saturation effect is taken into consideration.     

Variation of the speckle patterns in graded-index fibres with a misaligned joint

The intensity variation of a speckle pattern on the exit end face of graded-index multimode fibres with a misaligned fibre-to-fibre joint is experimentally studied from its first-order statistics of the average contrast and the probability density function for two different kinds of longitudinal and axial misalignments. It is found that the speckle contrast varies as a function of the radial position with a peak which shifts towards the periphery of the speckle pattern with an increase of the joint loss. A varying form of the speckle contrast also depends on the type of misalignment. The probability density function of the speckle intensity variation is also found to vary as a function of the radial position but to scarcely vary as a function of the joint loss.     

Optical inclinometer based on a single long-period fiber grating combined with a fused taper

A new concept to measure rotation angles based on a fiber-optic modal Mach-Zehnder interferometer is demonstrated by using a nonadiabatic taper cascaded with a long-period fiber grating. Information about the magnitude of the rotation angle can be obtained from the measurement of the interference pattern visibility, and under certain conditions it is also possible to obtain the sign of the rotation angle from the induced phase variation in the fiber interferometer.     

Digital speckle pattern interferometry (DSPI) with increased sensitivity: Use of spatial phase shifting

This paper presents a real-time digital speckle pattern interferometry system with twofold increase in sensitivity for the measurement of in-plane displacement and first order derivative of out-of-plane displacement (slope). Spatial phase shifting technique has been used for quantitative fringe analysis. The system employs a double aperture arrangement in front of the imaging system that introduces spatial carrier fringes within the speckle for spatial phase shifting. For in-plane displacement measurement, the scattered fields from the object are collected independently along the direction of illumination beams, and combined at the image plane. For slope measurement, a shear is introduced between the two scattered fields. Experimental results on an edge clamped circular plate subjected to in-plane rotation for in-plane displacement measurement and central loading for slope measurement are presented.