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A probability distribution function is presented which provides a realistic description of the detection of scattered photons. The resulting probabilities can be described analytically by means of a superposition of several special…

Astrophysics · Physics 2009-06-23 N. van Eijndhoven , O. Fadiran , G. Japaridze

An iterative algorithm for reconstructing the photon distribution from the random phase homodyne statistics is discussed. This method, derived from the maximum-likelihood approach, yields a positive definite estimate for the photon…

Quantum Physics · Physics 2007-05-23 Konrad Banaszek

A theoretical analysis of the statistical distributions of the reflected intensities from random media is presented. We use random matrix theory to analytically deduce the probability densities in the localization regime. Numerical…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Garcia-Martin , T. Lopez-Ciudad , J. J. Saenz , M. Nieto-Vesperinas

We present a method for reconstructing the photon number distribution from the homodyne statistics based on maximization of the likelihood function derived from the exact statistical description of a homodyne experiment. This method…

Optics · Physics 2009-10-30 Konrad Banaszek

Wait-time distributions for the $n$th photo-detection at a detector illuminated by a stationary light beam are studied. Both unconditional measurements, initiated at an arbitrary instant, and conditional measurements, initiated upon a…

Quantum Physics · Physics 2023-12-18 Luis Felipe Morales Bultron , Reeta Vyas , Surendra Singh

Neutrino telescopes detect the emission of Cherenkov light resulting from the tracks and showers of charged and neutral current neutrino interactions. These tracks or showers are reconstructed using a corresponding probability density…

Astrophysics · Physics 2008-11-26 Mathieu Ribordy

We show that the delay time distribution for wave reflection from a one-dimensional random potential is related directly to that of the reflection coefficient, derived with an arbitrarily small but uniform imaginary part added to the random…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. Anantha Ramakrishna , N. Kumar

This is the first of two subsequent publications where the probability distribution of delay-times in scattering of wave packets is discussed. The probability distribution is expressed in terms of the on-shell scattering matrix, the…

Mathematical Physics · Physics 2017-05-24 Uzy Smilansky

Event reconstruction is a central step in many particle physics experiments, turning detector observables into parameter estimates; for example estimating the energy of an interaction given the sensor readout of a detector. A corresponding…

High Energy Physics - Experiment · Physics 2023-01-11 Philipp Eller , Aaron Fienberg , Jan Weldert , Garrett Wendel , Sebastian Böser , D. F. Cowen

Delay time is defined as a time that a wave spent in a scattering medium before it escapes, and this can be derived by the energy derivative of the phase of the scattering wave. Considering the complex reflection amplitude…

Optics · Physics 2018-12-31 Prabhakar Pradhan , Peeyush Sahay , Huda M. Almabadi

In this paper, we consider a nonlinear inverse problem occurring in nuclear science. Gamma rays randomly hit a semiconductor detector which produces an impulse response of electric current. Because the sampling period of the measured…

Applications · Statistics 2016-01-27 Paul Ilhe , Eric Moulines , François Roueff , Antoine Souloumiac

The probability density function of the arrival time of \v{C}erenkov light on a photo-multiplier tube has been studied. This study covers light production, transmission and detection. The light production includes the light from a muon, the…

Instrumentation and Methods for Astrophysics · Physics 2023-06-01 M. de Jong , E. van Campenhout

A class of phenomena either not contained in the Standard Model or in its perturbative treatment (multiple W/Z production, compositeness of quarks and leptons) leads to a large energy deposition in neutrino telescopes within a rather small…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. DOMOKOS , S. KOVESI-DOMOKOS

A complete one-dimensional scattering of a spinless particle on a time-independent potential barrier is considered. To describe separately transmitted and reflected particles in the corresponding subsets of identical experiments, we…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

A new generation of ultra-low-background scintillator-based detectors aims to study solar neutrinos and search for dark matter and new physics beyond the Standard Model. These optical, non-imaging detectors generally contain a "fiducial…

Instrumentation and Detectors · Physics 2009-11-11 Cristiano Galbiati , Kevin McCarty

For a given spatial distribution of the lenses and distribution of the transverse velocity of the lens relative to the line-of-sight, a probability distribution for the lens mass for a single observed event is derived. In addition, similar…

Astrophysics · Physics 2008-02-03 M. Dominik

We reveal a general explicit relation between the statistics of delay times in one-channel reflection from a mesoscopic sample of any spatial dimension and the statistics of the eigenfunction intensities in its closed counterpart. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Ossipov , Y. V. Fyodorov

Modern experiments aimed at measuring neutrino oscillation parameters have entered the age of precision. The determination of these parameters strongly depends on the ability to reconstruct the energy distributions of the neutrino beams. We…

High Energy Physics - Phenomenology · Physics 2016-04-29 Erica Vagnoni

We consider state reconstruction from the measurement statistics of phase space observables generated by photon number states. The results are obtained by inverting certain infinite matrices. In particular, we obtain reconstruction…

Quantum Physics · Physics 2010-02-11 Jukka Kiukas , Juha-Pekka Pellonpää , Jussi Schultz

Large spherical scintillation detectors are playing an increasingly important role in experimental neutrino physics studies. From the instrumental point of view the primary signal response of these set-ups is constituted by the time and…

Instrumentation and Detectors · Physics 2008-11-26 Paolo Lombardi , Gioacchino Ranucci
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