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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editor: Gregory W. Faris
  • Vol. 2, Iss. 5 — May. 17, 2007

Optical frequency domain reflectometry based on real-time Fourier transformation

Yongwoo Park, Tae-Jung Ahn, Jean-Claude Kieffer, and José Azaña  »View Author Affiliations


Optics Express, Vol. 15, Issue 8, pp. 4597-4616 (2007)
http://dx.doi.org/10.1364/OE.15.004597


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Abstract

We propose and demonstrate an ultrahigh-speed optical frequency domain reflectometry (OFDR) system based on optical frequency-to-time conversion by pulse time stretching with a linearly chirped fiber Bragg grating (LCFG). This method will be referred to as OFDR based on real-time Fourier transformation (OFDR-RTFT). In this approach the frequency domain interference pattern, from which the desired axial depth profile is reconstructed, can be captured directly in the time-domain over the duration of a single stretched pulse, which translates into unprecedented axial line acquisition rates (as high as the input pulse repetition rate). We provide here a comprehensive, rigorous mathematical analysis of this new OFDR approach. In particular, we derive the main design equations of an OFDR-RTFT system in terms of its key performance parameters. Our analysis reveals the detrimental influence of nonlinear phase variations in the input optical pulse (including higher-order dispersion terms and group delay ripples introduced by the LCFG stretcher) on the system performance, e.g. achievable resolution. A simple and powerful method based on Hilbert transformation is successfully demonstrated to compensate for these detrimental phase distortions. We show that besides its potential to provide ultrahigh acquisition speeds (in the MHz range), LCFG-based OFDR-RTFT also offers the potential for performance advantages in terms of axial resolution, depth range and sensitivity. All these features make this approach particularly attractive for imaging applications based on optical coherence tomography (OCT). In our experiments, single-reflection depth profiles with nearly transform-limited ≈ 92.8 μm (average) axial resolutions over a remarkable 18 mm depth range have been obtained from OFDR-RTFT interferograms, each one measured over a time window of ≈50 ns at 20 MHz repetition rate. Improved sensitivities up to -61 dB have been achieved without using any balanced detection scheme.

© 2007 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(110.2350) Imaging systems : Fiber optics imaging
(110.4500) Imaging systems : Optical coherence tomography
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Imaging Systems

History
Original Manuscript: January 29, 2007
Revised Manuscript: March 26, 2007
Manuscript Accepted: March 29, 2007
Published: April 3, 2007

Virtual Issues
Vol. 2, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Yongwoo Park, Tae-Jung Ahn, Jean-Claude Kieffer, and José Azaña, "Optical frequency domain reflectometry based on real-time Fourier transformation," Opt. Express 15, 4597-4616 (2007)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-15-8-4597


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