Unique interpretation of Talbot Bands and Fourier domain white light interferometry.

A theoretical model is developed to interpret the output of the diffraction grating spectrometer used to analyze the channelled spectrum produced by a low coherence interferometer set-up. This model leads to an unique interpretation which covers both cases (i) of Talbot bands and (ii) of a Michelson interferometer used in most spectral interferometry set-ups for sensing as well as for Fourier domain optical coherence tomography (FDOCT). Explanation of Talbot bands visibility as well as the decay of sensitivity with depth, characteristic for FDOCT, is explained by considering the extension of the two wavetrains diffracted by the diffraction grating in the spectrometer.

[1]  Allen L. King,et al.  The Curious Bands of Talbot. , 1971 .

[2]  C. Grover,et al.  Dispersion curve measurement using Talbot bands , 1988 .

[3]  L. M. Smith,et al.  Absolute displacement measurements using modulation of the spectrum of white light in a Michelson interferometer. , 1989, Applied optics.

[4]  David J. Webb,et al.  Channeled spectrum liquid refractometer , 1993 .

[5]  David J. Webb,et al.  Displacement sensor using channelled spectrum dispersed on a linear CCD array , 1993 .

[6]  J Schwider,et al.  Dispersive interferometric profilometer. , 1994, Optics letters.

[7]  David J. Webb,et al.  Channelled spectrum display using a CCD array for student laboratory demonstrations , 1994 .

[8]  D. Jackson,et al.  Theoretical study of Talbot-like bands observed using a laser diode below threshold , 1998 .

[9]  G. Ha Usler,et al.  "Coherence radar" and "spectral radar"-new tools for dermatological diagnosis. , 1998, Journal of biomedical optics.

[10]  A. Fercher,et al.  In vivo human retinal imaging by Fourier domain optical coherence tomography. , 2002, Journal of biomedical optics.

[11]  A. Fercher,et al.  Full range complex spectral optical coherence tomography technique in eye imaging. , 2002, Optics letters.

[12]  A. Fercher,et al.  Performance of fourier domain vs. time domain optical coherence tomography. , 2003, Optics express.

[13]  Changhuei Yang,et al.  Sensitivity advantage of swept source and Fourier domain optical coherence tomography. , 2003, Optics express.

[14]  B. Bouma,et al.  Improved signal-to-noise ratio in spectral-domain compared with time-domain optical coherence tomography. , 2003, Optics letters.

[15]  Joseph A. Izatt,et al.  Instantaneous complex conjugate resolved spectral domain OCT using 3⨉3 fiber couplers , 2004 .

[16]  S. Yun,et al.  Real-time fiber-based multi-functional spectral-domain optical coherence tomography at 1.3 microm. , 2005, Optics express.

[17]  Toyohiko Yatagai,et al.  Profilometry with line-field Fourier-domain interferometry. , 2005, Optics express.

[18]  D. Kane,et al.  Resolving the Complex Conjugate Ambiguity in FD-OCT by Harmonic Lock-In Detection of the Spectral Interferogram , 2006 .

[19]  Ki-Nam Joo,et al.  Absolute distance measurement by dispersive interferometry using a femtosecond pulse laser. , 2006, Optics express.

[20]  Theo Lasser,et al.  Heterodyne Fourier domain optical coherence tomography for full range probing with high axial resolution. , 2006, Optics express.