On the digital holographic interferometry of fibrous material, I: Optical properties of polymer and optical fibers

Abstract Digital holographic interferometry (DHI) was utilized for investigating the optical properties of polymer and optical fibers. The samples investigated here were polyvinylidene fluoride (PVDF) polymer fiber and graded-index (GRIN) optical fiber. The phase shifting Mach–Zehnder interferometer was used to obtain five phase-shifted holograms, in which the phase difference between two successive holograms is π/2, for each fiber sample. These holograms were recorded using a CCD camera and were combined to gain the complex wavefield, which was numerically reconstructed using the convolution approach into amplitude and phase distributions. The reconstructed phase distribution was used to determine the refractive index, birefringence and refractive index profile of the studied samples. The mean refractive index has been measured with an accuracy up to 4×10−4. The main advantage of DHI is to overcome the manual focusing limitations by means of the numerical focusing. The results showed accurate measurements of the optical properties of fibers.

[1]  A. A. Hamza,et al.  Interferometry of Fibrous Materials , 1990 .

[2]  I. Ward,et al.  An interferometric prediction of the intrinsic optical properties for cold-drawn iPP, PTFE and PVDF fibres , 2007 .

[3]  D. S. Mehta,et al.  Refractive index determination: an application of lensless Fourier digital holography , 2006 .

[4]  A. A. Hamza,et al.  Measurement of the spectral dispersion curves of low birefringence polymer fibres , 2007 .

[5]  A. A. Hamza.  A Contribution to the Study of Optical Properties of Fibers with Irregular Transverse Sections , 1980 .

[6]  E. Cuche,et al.  Measurement of the integral refractive index and dynamic cell morphometry of living cells with digital holographic microscopy. , 2005, Optics express.

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

[8]  Y Surrel,et al.  Design of algorithms for phase measurements by the use of phase stepping. , 1996, Applied optics.

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

[10]  David R. Burton,et al.  Error-compensating algorithms in phase-shifting interferometry: a comparison by error analysis , 1999 .

[11]  C. Vest.  Holographic Interferometry , 1979 .

[12]  J C Wyant,et al.  Phase shifter calibration in phase-shifting interferometry. , 1985, Applied optics.

[13]  Werner Jüptner,et al.  Digital recording and numerical reconstruction of holograms , 2002 .

[14]  Thomas S. Huang,et al.  Digital Holography , 2003 .

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

[16]  L. P. IAroslavskiĭ,et al.  Digital holography and digital image processing : principles, methods, algorithms , 2010 .

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

[18]  Yingjun Zheng,et al.  Nondestructive measurement of an optical fiber refractive-index profile by a transmitted-light differential interference contact microscope. , 2004, Applied optics.

[19]  Toyohiko Yatagai,et al.  Automatic refractive index profiling of fibers by phase analysis method using Fourier transform , 2002 .

[20]  Karl A. Stetson,et al.  Interferometric Hologram Evaluation and Real-Time Vibration Analysis of Diffuse Objects , 1965 .

[21]  Chris L. Koliopoulos,et al.  Interferometric optical phase measurement techniques , 1981 .

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

[23]  M. Pluta.  Advanced light microscopy , 1988 .

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

[25]  U. Schnars,et al.  Direct recording of holograms by a CCD target and numerical reconstruction. , 1994, Applied optics.

[26]  S. Pelli,et al.  Digital-holography refractive-index-profile measurement of phase gratings , 2006 .

[27]  Kenichi Hibino,et al.  Phase-Measuring Algorithms to Suppress Spatially Nonuniform Phase Modulation in a Two-Beam Interferometer , 2000 .

[28]  Leonid Yaroslavsky,et al.  Digital Holography and Digital Image Processing , 2004, Springer US.

[29]  D. Gabor.  A New Microscopic Principle , 1948, Nature.