Photon Statistics

Bertolotti, M.

doi:10.1007/978-1-4615-8906-8_3

Cited by 12 publications

(2 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For an accurate model of the data acquisition, the noise level of the imaging system must be taken into account. As the detected signals are light intensities captured by a CCD camera in our case, the dominant noise sources are shot noise during image acquisition and the internal signal processing of the camera (Bertolotti, 1974 ; Goodman, 2000 ). Here, the distribution of interest is the distribution of the number of detected photoelectrons during exposure time per pixel.…”

Section: Methodsmentioning

confidence: 99%

Derivation of Fiber Orientations From Oblique Views Through Human Brain Sections in 3D-Polarized Light Imaging

et al. 2018

View full text Add to dashboard Cite

3D-Polarized Light Imaging (3D-PLI) enables high-resolution three-dimensional mapping of the nerve fiber architecture in unstained histological brain sections based on the intrinsic birefringence of myelinated nerve fibers. The interpretation of the measured birefringent signals comes with conjointly measured information about the local fiber birefringence strength and the fiber orientation. In this study, we present a novel approach to disentangle both parameters from each other based on a weighted least squares routine (ROFL) applied to oblique polarimetric 3D-PLI measurements. This approach was compared to a previously described analytical method on simulated and experimental data obtained from a post mortem human brain. Analysis of the simulations revealed in case of ROFL a distinctly increased level of confidence to determine steep and flat fiber orientations with respect to the brain sectioning plane. Based on analysis of histological sections of a human brain dataset, it was demonstrated that ROFL provides a coherent characterization of cortical, subcortical, and white matter regions in terms of fiber orientation and birefringence strength, within and across sections. Oblique measurements combined with ROFL analysis opens up new ways to determine physical brain tissue properties by means of 3D-PLI microscopy.

show abstract

Section: Methodsmentioning

confidence: 99%

Derivation of Fiber Orientations From Oblique Views Through Human Brain Sections in 3D-Polarized Light Imaging

et al. 2018

View full text Add to dashboard Cite

show abstract

“…For when the birth and immigration rates are equal, thermal or Bose-Einstein statistics are predicted for the single-fold population distribution, which is a simple geometric progression. This feature is found to characterize the photon statistics of a laser below threshold (Shimoda et al 1957) and also Gaussian speckle noise generated when laser light is scattered by particles or rough surfaces (Berlolotti 1974). In the case of the laser model, spontaneous and stimulated emission within a population of photons in a cavity is analogous to immigration and birth, respectively, and absorption is the analogue of death.…”

Section: Birth-death Processmentioning

confidence: 99%

The evolution of a single-paired immigration death process

Gillespie

Renshaw²

2008

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

The general question of whether it is possible to determine the fundamental structure of a hidden stochastic process purely from counts of escaping individuals is of immense importance in fields such as quantum optics, where externally based radiation elucidates the nature of the electromagnetic radiation process. Although the general probability structure has been derived in an earlier paper in terms of the joint probability generating function of the (hidden) population size and (known) counts, its complex nature hides some particularly intriguing features of the underlying process. Our current objective is therefore to examine specific immigration regimes in order to highlight the underlying saw-tooth behaviour of the underlying probability and moment structures. The paper first explores paired- and triple-immigration schemes, and then introduces birth in order to show that the technique is equally successful in exposing hidden multiplicative effects. These analyses uncover novel and highly illuminating features, and emphasize the potential of this population-counting construct for expanding into more complex multi-type situations.

show abstract

Statistical Properties of Scattered Radiation

Pusey

1977

Photon Correlation Spectroscopy and Velocimetry

View full text Add to dashboard Cite

Photon Statistics

Cited by 12 publications

References 28 publications

Derivation of Fiber Orientations From Oblique Views Through Human Brain Sections in 3D-Polarized Light Imaging

Derivation of Fiber Orientations From Oblique Views Through Human Brain Sections in 3D-Polarized Light Imaging

The evolution of a single-paired immigration death process

Statistical Properties of Scattered Radiation

Contact Info

Product

Resources

About