Error Compensation Based on Lagrange Multiplier in Heterodyne Laser Interferometer

Eun Hwan Oh; Woo Ram Lee; Kyung Hyun Lee; Kwan Ho You

doi:10.4028/www.scientific.net/AMM.681.43

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 681Error Compensation Based on Lagrange Multiplier in...

Error Compensation Based on Lagrange Multiplier in Heterodyne Laser Interferometer

Abstract:

In this paper, we propose a signal compensation algorithm. In heterodyne laser interferometer, the unexpected error restricts the precision such as nonlinearity and environmental error. To improve the accuracy in length measurement, we use the method of Lagrange multiplier which solves the constrained optimization problem and allows to minimize an objective function. With the method of Lagrange, we apply it to a length measurement and show the result of simulation.

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Periodical:

Applied Mechanics and Materials (Volume 681)

Pages:

43-46

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.681.43

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Online since:

October 2014

Authors:

Eun Hwan Oh, Woo Ram Lee, Kyung Hyun Lee, Kwan Ho You

Keywords:

Displacement, Error Compensation, Heterodyne, Lagrange Multiplier, Laser Interferometer

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