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Related Concept Videos

Poisson Probability Distribution01:09

Poisson Probability Distribution

A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
Poisson's Ratio01:23

Poisson's Ratio

Poisson's ratio is a material property that indicates their stress response. It explains the connection between the elongation or compression a material undergoes in the direction of an applied force and the contraction or expansion it experiences perpendicular to that force. When a slender bar is loaded axially, it stretches in the direction of the force and contracts laterally. Poisson's ratio is the negative ratio of this lateral contraction to the axial elongation. The negative sign ensures...
Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
Difference from Background: Limit of Detection01:05

Difference from Background: Limit of Detection

The limit of detection (LOD) is the smallest amount of analyte that can be distinguished from the background noise. The LOD value corresponds to the concentration at which the analyte signal is three times larger than the standard deviation of the blank signal. Below this value, the analyte signal cannot be differentiated from the background noise. It is calculated by dividing the calibration slope by 3 times the standard deviation of the blank signals.
The LOD indicates the presence or absence...
Probability Histograms01:17

Probability Histograms

A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.

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Related Experiment Video

Updated: Jun 22, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Optimization of multi-photon event discrimination levels using Poisson statistics.

Juri Soukka, Arho Virkki, Pekka Hänninen

    Optics Express
    |May 28, 2009
    PubMed
    Summary

    This study presents a novel method for optimizing photomultiplier (PMT) pulse discrimination levels for accurate single- and multi-photon counting. The technique uses laser pulse coincidence detection for automated calibration, ensuring reliable signal differentiation.

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    A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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    Published on: September 5, 2019

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    Last Updated: Jun 22, 2026

    Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
    09:23

    Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

    Published on: May 30, 2014

    A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
    07:56

    A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

    Published on: September 5, 2019

    Area of Science:

    • Photonics
    • Optical Instrumentation
    • Signal Processing

    Background:

    • Distinguishing random multi-photon events from background noise is crucial in many applications.
    • Current detection methods rely on analog current measurement or photon counting with multi-level discrimination.
    • Optimizing discrimination levels is key for accurate single- and multi-photon event detection.

    Purpose of the Study:

    • To demonstrate a novel method for optimizing photomultiplier (PMT) pulse discrimination levels.
    • To enable accurate differentiation between single- and multi-photon events in optical detection systems.
    • To provide a procedure applicable for automatic calibration of photon counting devices.

    Main Methods:

    • A calibration method based on detecting photon events in coincidence with short laser pulses.
    • Leveraging Poisson statistics of single- and multi-photon signals for calibration.
    • Utilizing three parallel discriminators with optimized levels for channel photomultiplier (CPM) analysis.

    Main Results:

    • Demonstrated a novel method for optimizing PMT pulse discrimination levels.
    • Achieved a linear response over a wide range of random single- and multi-photon signals.
    • Successfully applied the method to a channel photomultiplier (CPM).

    Conclusions:

    • The presented calibration method effectively optimizes PMT discrimination levels for photon counting.
    • The technique allows for reliable distinction of single- and multi-photon events.
    • This method is suitable for automated, production-line calibration of photon counting devices.