Application of the maximum entropy method to Fourier domain optical coherence tomography

Abstract Two-dimensional zero-field nutation NQR spectroscopy has been used to determine the full quadrupolar tensor of spin - 3/2 nuclei in serveral molecular crystals containing the 3 5 Cl and 7 5 As nuclei. The problems of reconstructing 2D-nutation NQR spectra using conventional methods and the advantages of using implementation of the maximum entropy method (MEM) are analyzed. It is shown that the replacement of conventional Fourier transform by an alternative data processing by MEM in 2D NQR spectroscopy leads to sensitivity improvement, reduction of instrumental artefacts and truncation errors, shortened data acquisition times and suppression of noise, while at the same time increasing the resolution. The effects of off-resonance irradiation in nutation experiments are demonstrated both experimentally and theoretically. It is shown that off-resonance nutation spectroscopy is a useful extension of the conventional on-resonance experiments, thus facilitating the determination of asymmetry parameters in multiple spectrum. The theoretical description of the off-resonance effects in 2D nutation NQR spectroscopy is given, and general exact formulas for the asymmetry parameter are obtained. In off-resonance conditions, the resolution of the nutation NQR spectrum decreases with the spectrometer offset. However, an enhanced resolution can be achieved by using the maximum entropy method in 2D-data reconstruction.

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Experimental demonstration of high-speed full-range Fourier domain optical coherence tomography imaging using orthogonally polarized light and a phase-shifting algorithm

Applied Optics ◽

10.1364/ao.51.008762 ◽

2012 ◽

Vol 51 (36) ◽

pp. 8762 ◽

Cited By ~ 4

Author(s):

Hsu-Chih Cheng ◽

Ming-Shiuan Shiu

Keyword(s):

Optical Coherence Tomography ◽

High Speed ◽

Full Range ◽

Polarized Light ◽

Phase Shifting ◽

Fourier Domain ◽

Optical Coherence ◽

Experimental Demonstration ◽

Tomography Imaging ◽

Optical Coherence Tomography Imaging

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Raman-pumped Fourier-domain mode-locked laser: analysis of operation and application for optical coherence tomography

Optics Letters ◽

10.1364/ol.33.002815 ◽

2008 ◽

Vol 33 (23) ◽

pp. 2815 ◽

Cited By ~ 40

Author(s):

Thomas Klein ◽

Wolfgang Wieser ◽

Benjamin R. Biedermann ◽

Christoph M. Eigenwillig ◽

Gesa Palte ◽

...

Keyword(s):

Optical Coherence Tomography ◽

Fourier Domain ◽

Optical Coherence ◽

Laser Analysis ◽

Mode Locked Laser

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Estimating the distribution of primary reflection coefficients

Geophysics ◽

10.1190/1.1598135 ◽

2003 ◽

Vol 68 (4) ◽

pp. 1417-1422 ◽

Cited By ~ 6

Author(s):

Danilo R. Velis

Keyword(s):

Maximum Entropy ◽

Maximum Entropy Method ◽

Entropy Method ◽

Reflection Coefficients ◽

Log Data ◽

Neuquen Basin ◽

Neuquén Basin ◽

Skewness And Kurtosis

The distribution of primary reflection coefficients can be estimated by means of the maximum entropy method, giving rise to smooth nonparametric functions which are consistent with the data. Instead of using classical moments (e.g. skewness and kurtosis) to constraint the maximization, nonconventional sample statistics help to improve the quality of the estimates. Results using real log data from various wells located in the Neuquen Basin (Argentina) show the effectiveness of the method to estimate both robust and consistent distributions that may be used to simulate realistic sequences.

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