Single-shot digital holography for fast measuring optical properties of fibers.

We propose a fast method for measuring optical properties, e.g., the refractive index profile and birefringence, of fibers. It is based on recovering the phase distribution of light refracted by a fiber sample at the recording plane from a single-shot digital hologram. During the recovering process, an optimized approach based on the spatial carrier frequency method was utilized. The proposed approach enhances affects that arise from the limited spatial extent of the bandpass filter associated with the implementation of the spatial carrier frequency method. In contrast to the low spatial resolution of off-axis digital holograms, the method ensures the best utilization of the camera support. From the recovered phase information, the optical path difference is measured; thus, the refractive index profile, the mean refractive index, and the birefringence of isotactic polypropylene (IPP) are determined. Experimental results are given for illustration.

[1]  Claas Falldorf,et al.  Digital Holography and Wavefront Sensing: Principles, Techniques and Applications , 2014 .

[2]  U. Schnars Direct phase determination in hologram interferometry with use of digitally recorded holograms , 1994 .

[3]  M. El-Morsy,et al.  Automatic fringe analysis of two-beam interference patterns for measurement of refractive index and birefringence profiles of fibres , 2007 .

[4]  R. Young,et al.  Introduction to Polymers, Third Edition , 1991 .

[5]  Etienne Cuche,et al.  Polarization microscopy by use of digital holography: application to optical-fiber birefringence measurements. , 2005, Applied optics.

[6]  M. Mahmoudi,et al.  On the Physical Behavior of Isotactic Polypropylene Fibers Extruded at Different Draw-Down Ratios. I. Optical Properties and Cold-Drawing , 2009 .

[7]  J L Marroquin,et al.  Wave-front recovery from two orthogonal sheared interferograms. , 1996, Applied optics.

[8]  Mostafa Agour,et al.  On the digital holographic interferometry of fibrous material, I: Optical properties of polymer and optical fibers , 2010 .

[9]  A. A. Hamza,et al.  On the microinterferometric determination of refractive indices and birefringence of fibres , 1992 .

[10]  K. Yassien,et al.  Comparative study on determining the refractive index profile of polypropylene fibres using fast Fourier transform and phase-shifting interferometry , 2009 .

[11]  N. Barakat,et al.  Interferometric Studies on Fibers , 1971 .

[12]  Thomas Kreis,et al.  Characterization of graded index optical fibers by digital holographic interferometry. , 2009, Applied optics.

[13]  Claas Falldorf,et al.  Digital holography and quantitative phase contrast imaging using computational shear interferometry , 2015 .

[14]  M. Agour,et al.  Digital holographic interferometry: Optomechanical properties of fibers , 2011 .

[15]  W. J. Bates A wavefront shearing interferometer , 1947 .

[16]  M. Pluta,et al.  Interference microscopy of polymer fibres * , 1972 .

[17]  I. Yamaguchi,et al.  Phase-shifting digital holography. , 1997, Optics letters.

[18]  A. A. Hamza,et al.  Interferometric studies on the influence of temperature on the optical and dispersion parameters of GRIN optical fibre , 2007 .

[19]  M. Takeda,et al.  Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry , 1982 .

[20]  S. Simmens,et al.  Birefringence Determination in Objects of Irregular Cross-sectional Shape and Constant Weight per Unit Length , 1958, Nature.

[21]  R. C. Faust,et al.  The Determination of the Refractive Indices of Inhomogeneous Solids by Interference Microscopy , 1954 .

[22]  O. Focke,et al.  Inspection of lamb waves in carbon fiber composites using shearographic interferometry , 2008, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[23]  A. A. Hamza,et al.  The interferometric methods applied to the studies of fibrous materials , 1986 .

[24]  W. A. Ramadan,et al.  On the determination of the refractive index of a fibre. II. Graded index fibre , 1995 .