Talbot interferometry in the measurement of the refractive indices of a doubly refracting crystal

J. C. Bhattacharya

doi:10.1364/AO.40.001658

Applied Optics
Vol. 40,
Issue 10,
pp. 1658-1662
(2001)
•https://doi.org/10.1364/AO.40.001658

Talbot interferometry in the measurement of the refractive indices of a doubly refracting crystal

J. C. Bhattacharya

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J. C. Bhattacharya, "Talbot interferometry in the measurement of the refractive indices of a doubly refracting crystal," Appl. Opt. 40, 1658-1662 (2001)

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Abstract

The Talbot effect and moiré fringes are combined to measure the refractive indices of a birefringent material. Techniques based on the visibility of moiré fringes in finite fringe mode and based on fringe count are presented. These techniques are sensitive and advantageous. They are described and analyzed.

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Variable	Typical Value	Error	Error in μ₂	Error in μ₂ Due to Combined Effect of the Errors of the Variables
k	7.5	±1 × 10^-2	±3.312 × 10^-4
p	0.05 mm	±0.1 µm	±4.967 × 10^-4	±6.001 × 10^-4
t	5 mm	±0.1 µm	±0.050 × 10^-4
i	30 deg	±2 s	±0.012 × 10^-4
μ_o	1.66	±1 × 10^-4	±0.609 × 10^-4

Variable	Value	Error	Error in μ_e	Error in μ_e Due to the Combined Effect of the Errors of the Variables
μ₂	1.34	±6.001 × 10^-4	±3.549 × 10^-4
μ_o	1.66	±1 × 10^-4	±0.411 × 10^-4	±3.573 × 10^-4
i	30 deg	±2 s	±0.003 × 10^-4

Variable	Typical Value	Error	Error in μ₂	Error in μ₂ Due to Combined Effect of the Errors of the Variables
k	7.5	±1 × 10^-2	±3.312 × 10^-4
p	0.05 mm	±0.1 µm	±4.967 × 10^-4	±6.001 × 10^-4
t	5 mm	±0.1 µm	±0.050 × 10^-4
i	30 deg	±2 s	±0.012 × 10^-4
μ_o	1.66	±1 × 10^-4	±0.609 × 10^-4

Variable	Value	Error	Error in μ_e	Error in μ_e Due to the Combined Effect of the Errors of the Variables
μ₂	1.34	±6.001 × 10^-4	±3.549 × 10^-4
μ_o	1.66	±1 × 10^-4	±0.411 × 10^-4	±3.573 × 10^-4
i	30 deg	±2 s	±0.003 × 10^-4

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Equations (17)

Applied Optics