Eigenvalue decomposition and least squares algorithm for depth resolution of wavenumber-scanning interferometry

Abstract

Depth resolution of depth-resolved interferometry evaluated by Fourier transform is limited by the range of phase shifting. A novel algorithm, the eigenvalue decomposition and least squares algorithm (EDLSA), is proposed. Experimental results obtained using depth-resolved wavenumber-scanning interferometry demonstrate that the EDLSA performs better than the Fourier transform and complex number least squares algorithm. Not requiring any a priori information, the algorithm can replace the Fourier transform in depth-resolved interferometry with improved depth resolution.

© 2015 Optical Society of America

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