The Curious Bands of Talbot

King, Allen L.; Davis, R.W.

doi:10.1119/1.1976602

Cited by 11 publications

(9 citation statements)

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“…Equivalent explanation could be produced for a spectrometer based on dispersion by writing the effect of the dispersion on the delay of different parts of the beams traversing the prism [20].…”

Section: Discussionmentioning

confidence: 99%

“…G. B. Airy [19] dispelled any "curious" effects as mere results of interference which enhances the amplitude of some wavelengths and reduces the amplitude of others. When using a prism, the plate should be introduced into the side corresponding to the red part [20] of the dispersed spectrum while when using a diffraction grating, the plate should be introduced into the blue side of the beam. So far, the optical configurations producing Talbot bands and those using a Michelson interferometer in most sensing and OCT systems have been dealt with independently.…”

Section: Talbot Bandsmentioning

confidence: 99%

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Unique interpretation of Talbot Bands and Fourier domain white light interferometry

Podoleanu¹

2007

Opt. Express

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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.

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Section: Discussionmentioning

confidence: 99%

Section: Talbot Bandsmentioning

confidence: 99%

Unique interpretation of Talbot Bands and Fourier domain white light interferometry

Podoleanu¹

2007

Opt. Express

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“…These methods rely on the generation of the complex signal, where its imaginary component is inferred by producing a second interferogram shifted in phase by π/2. Talbot bands [1,2] present a solution to mirror terms in FD-OCT that does not require calculations or cancellation algorithms and therefore such a solution is not affected by sample movements or parameter instabilities. Simply put it, in Talbot bands configurations, mirror terms do not exist.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of the signal-to-noise ratio at depths in Fourier domain optical coherence tomography

2012

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We present a Fourier domain optical coherence tomography set-up built around an optical configuration that exhibits Talbot bands. To produce Talbot bands, the two interferometer beams, object and reference are laterally shifted in their way towards the diffraction grating. This allows attenuation of mirror terms and optimisation of the sensitivity profile. We imaged the human skin in-vivo, and quantified the profile of the sensitivity profile in tissue by measuring the ratio between the strengths of signals originating in the reticular dermis and in the stratum corneum for different values of the lateral shift of the two interfering beams.

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“…Talbot bands 16,17 present a solution to mirror terms in FD-OCT that does not require calculations or cancellation algorithms, and therefore, such a solution is not affected by sample movements or parameter instabilities. Simply put, in Talbot bands configurations, mirror terms do not exist.…”

Section: Dispersion-encoded Mirror Term Eliminationmentioning

confidence: 99%

Attenuation of mirror image and enhancement of the signal-to-noise ratio in a Talbot bands optical coherence tomography system

Bradu

Podoleanu

2011

J. Biomed. Opt.

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Abstract.A Fourier domain optical coherence tomography setup is presented built around an optical configuration that exhibits Talbot bands. A low astigmatism spectrometer is used, employing a spherical mirror and a cylindrical lens between a diffraction grating and a linear CCD camera. To produce Talbot bands, the two interferometer beams-object and reference-are laterally shifted in respect to each other in their way toward the diffraction grating. This allows attenuation of mirror terms and optimization of the sensitivity profile. We evaluate the optimization of the sensitivity profile with depth, in respect to its overall strength and its position peak, which can be shifted toward a larger optical path difference in the interferometer. We demonstrate the efficiency of such a configuration at large depths by imaging a thick phantom and human skin in vivo for different values of the lateral distance between the two beams. C 2011 Society of Photo-Optical Instrumentation Engineers (SPIE).

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The Curious Bands of Talbot

Cited by 11 publications

References 0 publications

Unique interpretation of Talbot Bands and Fourier domain white light interferometry

Unique interpretation of Talbot Bands and Fourier domain white light interferometry

Enhancement of the signal-to-noise ratio at depths in Fourier domain optical coherence tomography

Attenuation of mirror image and enhancement of the signal-to-noise ratio in a Talbot bands optical coherence tomography system

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