Paper
2 November 2011 An alternative method for measuring the index profile of a gradient-index lens
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Abstract
An alternative method for measuring the index profile of the GRIN lens is proposed based on Fresnel's equations and the common-path phase-shifting interfermetry. A light beam composing of the right- and the left- circularly polarized components is obliquely incident on the tested GRIN lens and the reflected light passes through an analyzer. The light is collected and imaged by an imaging lens to a CMOS camera. Four interferograms under different additional phases are taken and Carre's phase-shifting method is used to calculate the full-field phase distribution. Next, the estimated data are substituted into the special equations derived from the Fresnel's equations, and the index profile of the GRIN lens can be obtained. Its validity has been demonstrated. It has both merits of the common-path interferemetry and the phase-shifting interferemetry.
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H. C. Hsieh, W. C. Wu, W. Y. Chang, F. S. Hsu, and D. C. Su "An alternative method for measuring the index profile of a gradient-index lens", Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 80116R (2 November 2011); https://doi.org/10.1117/12.901524
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KEYWORDS
GRIN lenses

Phase shifts

Refractive index

CMOS cameras

Commercial off the shelf technology

Data analysis

Electrooptic modulators

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