Measurement of gradient index profile using deflectometry

Abstract The present paper reports a simple technique for measurement of one dimensional graded index (GRIN) profile using deflectometry. In this method the linear fringe pattern generated by a lateral shear interferometer using a Wollaston prism is made incident on the GRIN sample and the profile is measured from the deflection of the fringes. The method is simple and also gives a visual display of the GRIN profiles. Computation of the profile from the deflection of fringes is also simple. Measured data is compared with the theoretical ones obtained from the solution of the diffusion equation. Results are reported for negative refractive index profiles made by exchanging Na + for Li + ions in Na 2 O–Li 2 O–Al 2 O 3 –ZrO 2 –SiO 2 glasses.

[1]  W. Lama,et al.  Some radiometric properties of gradient-index fiber lenses. , 1980, Applied optics.

[2]  F. Ratajczyk,et al.  On an Autocollimation Method of Optical Glass Heterogeneity Measurement , 1965 .

[3]  Florian Ratajczyk,et al.  Some Remarks Concerning Optical Glass Heterogeneity Measurement with the Help of the Autocollimation Method , 1965 .

[4]  John Crank,et al.  The Mathematics Of Diffusion , 1956 .

[5]  Y Sumi,et al.  Spherical gradient-index sphere lens. , 1986, Applied optics.

[6]  D T Moore,et al.  Real-time index profile measurement during GRIN glass fabrication. , 1988, Applied optics.

[7]  Gerald Oster,et al.  Moire Patterns: Their Application to Refractive Index and Refractive Index Gradient Measurements , 1964 .

[8]  D. Moore,et al.  Measurement of the chromatic variation of index of refraction gradients. , 1982, Applied optics.

[9]  S. Sarkar,et al.  Measurement of gradient refractive index profile using a birefringent lens , 1996 .

[10]  R. V. Jones,et al.  The Interference Systems of Crossed Diffraction Gratings , 1957 .

[11]  G. Oster,et al.  Theoretical Interpretation of Moiré Patterns , 1964 .

[12]  Amitabha Basuray,et al.  Coherent moire technique for obtaining slope and curvature of stress patterns , 1994 .

[13]  Robert C. Sampson.  Holographic-interferometry applications in experimental mechanics , 1970 .

[14]  E. W. Marchand,et al.  Gradient Index Optics , 1978 .

[15]  D T Moore,et al.  Gradient-index optics: a review. , 1980, Applied optics.