Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

502
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
502
Nonlinear Pharmacokinetics: Causes of Nonlinearity01:22

Nonlinear Pharmacokinetics: Causes of Nonlinearity

935
Nonlinearity in drug pharmacokinetics is caused by various factors influencing how a drug is absorbed, distributed, metabolized, and excreted. Understanding these nonlinear processes is crucial for predicting drug behavior in the body and optimizing drug dosing regimens.
Nonlinear drug absorption can occur when the process is rate-limited by solubility, carrier-mediated transport systems, or saturation of the presystemic gut wall or hepatic metabolism. For instance, high doses of riboflavin...
935
Classification of Systems-I01:26

Classification of Systems-I

742
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
742
Nonlinear Pharmacokinetics: Overview01:19

Nonlinear Pharmacokinetics: Overview

1.4K
Nonlinear or dose-dependent pharmacokinetics is a phenomenon that occurs when the pharmacokinetic parameters of certain drugs deviate from linear pharmacokinetics at higher doses. These drugs do not follow the expected first-order kinetics, where the rate of drug elimination is directly proportional to the drug concentration. Instead, they exhibit a nonlinear relationship, which can be attributed to several factors.
Nonlinearity can arise due to the saturation of plasma protein-binding or...
1.4K
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.3K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.3K
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

460
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
460

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Thouless quantum walks in topological flat bands.

Light, science & applications·2026
Same author

Simultaneous broadband nonlinear quadratic processes in lithium niobate on insulator waveguides.

Optics express·2026
Same author

Phase retrieval via gain-based photonic XY-Hamiltonian optimization.

Communications physics·2026
Same author

Observation of Lump Solitons.

Physical review letters·2026
Same author

Investigating the Structural Basis of Diacetyl Recognition by the G-Protein-Coupled Receptor ODR-10 in <i>Caenorhabditis elegans</i>.

The journal of physical chemistry. B·2025
Same author

Ising Machine by Dimensional Collapse of Nonlinear Polarization Oscillators.

Physical review letters·2025

Related Experiment Video

Updated: May 5, 2026

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
09:19

Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

Published on: July 29, 2013

10.9K

Purely nonlinear disorder-induced localizations and their parametric amplification.

Viola Folli, Katia Gallo, Claudio Conti

    Optics Letters
    |December 11, 2013
    PubMed
    Summary

    Randomness in nonlinear media causes spatial localization of light waves. This localization grows exponentially with propagation and is controlled by pump intensity, with findings applicable to various nonlinearities.

    More Related Videos

    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
    15:06

    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

    Published on: January 3, 2016

    12.4K
    Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
    14:18

    Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

    Published on: February 28, 2016

    11.0K

    Related Experiment Videos

    Last Updated: May 5, 2026

    Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
    09:19

    Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light

    Published on: July 29, 2013

    10.9K
    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
    15:06

    Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

    Published on: January 3, 2016

    12.4K
    Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
    14:18

    Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements

    Published on: February 28, 2016

    11.0K

    Area of Science:

    • Nonlinear optics
    • Wave propagation in random media

    Background:

    • Spatial localization phenomena are crucial in understanding light-matter interactions.
    • Randomness in optical media can significantly alter wave behavior.

    Purpose of the Study:

    • To investigate spatial localization in quadratic nonlinear media with random modulations.
    • To analyze the impact of transverse random modulation on the fundamental wave.

    Main Methods:

    • Numerical simulations were employed to model the phenomenon.
    • Theoretical analyses were conducted to support the simulation results.

    Main Results:

    • Transverse random modulation of nonlinear susceptibility leads to exponential growth of fundamental wave localization.
    • The localization length is optically tunable via pump intensity, controlling the amplification rate.
    • The observed effects are also relevant for cubic nonlinearities.

    Conclusions:

    • Spatial localization in nonlinear media can be effectively generated and controlled by introducing randomness.
    • Pump intensity offers a mechanism for optical control over the localization dynamics.