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Related Concept Videos

Random Variables01:09

Random Variables

A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability theory and was introduced by a Russian mathematician, Pafnuty Chebyshev, in the mid-nineteenth century.
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
Random Sampling Method01:09

Random Sampling Method

Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. Data are the result of sampling from a population. The sampling method ensures that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest. Among the various sampling methods used by...
Random and Systematic Errors01:20

Random and Systematic Errors

Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
Random and Systematic Errors01:20

Random and Systematic Errors

Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
Random Error01:04

Random Error

Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
Generating Electromagnetic Radiations01:10

Generating Electromagnetic Radiations

The German physicist Heinrich Hertz (1857–1894) was the first to generate and detect certain types of electromagnetic waves in the laboratory. Starting in 1887, he performed a series of experiments that confirmed the existence of electromagnetic waves and verified that they travel at the speed of light. Hertz used an alternating-current RLC (resistor-inductor-capacitor) circuit that resonated at a known frequency and connected it to a loop of wire. High voltages induced across the gap in the...

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Related Experiment Video

Updated: Jun 17, 2026

Localizing Protein in 3D Neural Stem Cell Culture: a Hybrid Visualization Methodology
21:47

Localizing Protein in 3D Neural Stem Cell Culture: a Hybrid Visualization Methodology

Published on: December 19, 2010

Random number generation from a self-chaotic broad-area VCSEL.

Yohann G Sanvert, Jules Mercadier, Stefan Bittner

    Optics Letters
    |June 15, 2026
    PubMed
    Summary
    This summary is machine-generated.

    Broad-area vertical-cavity surface-emitting lasers (BA-VCSELs) generate high-speed random numbers using intrinsic chaos. This simple, robust system achieves high bit-rate entropy generation, passing NIST tests up to 150 Gb/s.

    Related Experiment Videos

    Last Updated: Jun 17, 2026

    Localizing Protein in 3D Neural Stem Cell Culture: a Hybrid Visualization Methodology
    21:47

    Localizing Protein in 3D Neural Stem Cell Culture: a Hybrid Visualization Methodology

    Published on: December 19, 2010

    Area of Science:

    • Laser physics
    • Nonlinear dynamics
    • Information theory

    Background:

    • Broad-area vertical-cavity surface-emitting lasers (BA-VCSELs) exhibit complex nonlinear dynamics.
    • Chaos generation in lasers typically requires external perturbations like optical feedback or injection.

    Purpose of the Study:

    • To investigate the intrinsic chaotic dynamics of BA-VCSELs for high-speed random number generation (RNG).
    • To assess the performance of BA-VCSEL-based RNG in terms of bit rate, statistical randomness, and robustness.

    Main Methods:

    • Analysis of nonlinear dynamics of transverse and polarization modes in BA-VCSELs.
    • Leveraging intrinsic chaos for entropy generation and random number generation (RNG).
    • Performance evaluation using NIST statistical test suites.

    Main Results:

    • BA-VCSELs exhibit intrinsic chaos with high correlation dimension and large bandwidth without external perturbations.
    • Achieved high bit-rate entropy generation and RNG, passing NIST tests at rates up to 150 Gb/s.
    • Observed a correlation between correlation dimension and the number of passed NIST tests; consistent RNG performance across parameters.

    Conclusions:

    • Intrinsic chaos in BA-VCSELs provides a simple, compact, and robust platform for high-performance RNG.
    • The system eliminates the need for complex optical feedback or injection mechanisms.
    • Demonstrated potential for practical applications requiring high-quality random number generation.