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Dispersion compensation in Fourier domain optical coherence tomography using the fractional Fourier transformNorman Lippok, Stéphane Coen, Poul Nielsen, and Frédérique Vanholsbeeck »View Author Affiliations
Norman Lippok,1,2,*
Stéphane Coen,1
Poul Nielsen,2
and Frédérique Vanholsbeeck1
1Physics Department, The University of Auckland, Private Bag 92019, Auckland, New Zealand 2Auckland Bioengineering Institute, The University of Auckland, Private Bag 92019, Auckland, New Zealand *Corresponding author: nlip001@aucklanduni.ac.nz |
Optics Express, Vol. 20, Issue 21, pp. 23398-23413 (2012)
http://dx.doi.org/10.1364/OE.20.023398
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Abstract
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.
© 2012 OSA
OCIS Codes
(110.4500) Imaging systems : Optical coherence tomography
(170.3890) Medical optics and biotechnology : Medical optics instrumentation
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms
ToC Category:
Imaging Systems
History
Original Manuscript: July 3, 2012
Revised Manuscript: September 6, 2012
Manuscript Accepted: September 14, 2012
Published: September 26, 2012
Citation
Norman Lippok, Stéphane Coen, Poul Nielsen, and Frédérique Vanholsbeeck, "Dispersion compensation in Fourier domain optical coherence tomography using the fractional Fourier transform," Opt. Express 20, 23398-23413 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-21-23398
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References
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- L. Durak and S. Aldirmaz, “Adaptive fractional Fourier domain filtering,” Sig. Proc.90, 1188–1196 (2010). [CrossRef]
- A. F. Fercher, C. K. Hitzenberger, G. Kamp, and S. Y. El-Zaiat, “Measurement of intraocular distances by backscattering spectral interferometry,” Opt. Commun.117, 43–48 (1995). [CrossRef]
- J. Liebermann, C. Brckner, B. Grajciar, J. Haueisen, and A. F. Fercher, “Dual-band refractive Low Coherence Interferometry in the spectral domain for dispersion measurements,” Proc. of SPIE7889, 788922 (2011). [CrossRef]
- R. Leitgeb, C. K. Hitzenberger, and A. F. Fercher, “Performance of Fourier domain vs. time domain optical coherence tomography,” Opt. Express11, 889–894 (2003). [CrossRef] [PubMed]
- M. Wojtkowski, R. Leitgeb, A. Kowalczyk, T. Bajraszewski, and A. F. Fercher, “In vivo human retinal imaging by Fourier domain optical coherence tomography”, Journal of Biomedical Optics7, 457–463 (2002). [CrossRef] [PubMed]
- A. F. Fercher, C. K. Hitzenberger, M. Sticker, R. Zawadzki, B. Karamata, and T. Lasser, “Dispersion compensation for optical coherence tomography depth-scan signals by a numerical technique,” Opt. Comm.204, 67–74 (2002). [CrossRef]
- A. F. Fercher, C. K. Hitzenberger, M. Sticker, R. Zawadzki, B. Karamata, and T. Lasser, “Numerical dispersion compensation for Partial Coherence Interferometry and Optical Coherence Tomography,” Opt. Express9, 610–615 (2001). [CrossRef] [PubMed]
- C. K. Hitzenberger, A. Baumgartner, W. Drexler, and A. F. Fercher, “Dispersion effects in partial coherence interferometry: implications for intraocular ranging,” J. of Biomed. Opt., 144–151 (1999). [CrossRef]
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- D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Hee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science254, 1178–1181 (1991). [CrossRef] [PubMed]
- L. Froehly, S. Iyer, and F. Vanholsbeeck, “Dual-fibre stretcher and coma as tools for independent 2nd and 3rd order tunable dispersion compensation in a fibre-based ‘scan-free’ time domain optical coherence tomography system,” Opt. Commun.284, 4099–4106 (2011). [CrossRef]
- R. Huber, M. Wojtkowski, and J. G. Fujimoto, “Fourier Domain Mode Locking (FDML): A new laser operating regime and applications for optical coherence tomography,” Opt. Express14, 3225–3237 (2006). [CrossRef] [PubMed]
- M. Wojtkowski, V. J. Srinivasan, T. H. Ko, J. G. Fujimoto, A. Kowalczyk, and J. S. Duker, “Ultrahigh-resolution, high-speed, Fourier domain optical coherence tomography and methods for dispersion compensation,” Opt. Express12, 2404–2422 (2004). [CrossRef] [PubMed]
- W. Drexler, U. Morgner, R. K. Ghanta, F. X. Krtner, J. S. Schuman, and J. G. Fujimoto, “Ultrahighresolution ophthalmic optical coherence tomography,” Nature Medicine7, 502–507 (2001). [CrossRef] [PubMed]
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