Dispersion compensation in Fourier domain optical coherence tomography using the fractional Fourier transform
Author(s) -
Norman Lippok,
Stéphane Coen,
Poul M. F. Nielsen,
Frédérique Vanholsbeeck
Publication year - 2012
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.20.023398
Subject(s) - fractional fourier transform , fourier transform , optics , dispersion (optics) , optical coherence tomography , group delay dispersion , physics , velocity dispersion , group velocity , fourier analysis , materials science , mathematical analysis , mathematics , dispersion shifted fiber , fiber optic sensor , optical fiber , quantum mechanics , galaxy
We address numerical dispersion compensation based on the use of the fractional Fourier transform (FrFT). The FrFT provides a new fundamental perspective on the nature and role of group-velocity dispersion in Fourier domain OCT. The dispersion induced by a 26 mm long water cell was compensated for a spectral bandwidth of 110 nm, allowing the theoretical axial resolution in air of 3.6 μm to be recovered from the dispersion degraded point spread function. Additionally, we present a new approach for depth dependent dispersion compensation based on numerical simulations. Finally, we show how the optimized fractional Fourier transform order parameter can be used to extract the group velocity dispersion coefficient of a material.
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