Nonlinear Waves
Nonlinear Waves - Related Videos
01:22
Nonlinear Pharmacokinetics: Causes of Nonlinearity
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2025
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...
15:06
Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
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Cited by 2 •
2016
Saturable and reverse saturable scattering were discovered in isolated plasmonic particles and adopted as a novel non-bleaching contrast method in super-resolution microscopy. Here the experimental procedures of detecting and extracting nonlinear scattering are explained in detail, as well as how to enhance resolution with the aid of saturated excitation microscopy.
15:58
Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
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Cited by 3 •
2013
The technique of femtosecond four-wave mixing is described, including spectrally-resolved and time-resolved configurations. We illustrate the utility of this technique for the investigation of crucial physical properties in the III-V diluted magnetic semiconductors, afforded by its nonlinearity and high temporal resolution.
09:32
Standing Waves
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2023
Source: Arianna Brown, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA Standing waves, or stationary waves, are waves that appear not to propagate and are produced by the interference of two waves traveling in opposite directions with the same frequency and amplitude. These waves appear to vibrate up and down with no linear movement and are most easily identified in vibrating finite media like a plucked guitar string,...
02:12
The Wave Nature of Light
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2020
The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion. Others in the...
FAQs
Amplitude can become directly coupled to propagation through nonlinear terms in the governing equations. As a result, portions of a disturbance may travel at different speeds depending on their amplitude, changing the waveform as it moves. This amplitude dependence distinguishes the behavior from predictions based on linear superposition and can produce progressive waveform steepening.
Dispersion causes different wave components to propagate in ways that can spread or reshape a disturbance, while nonlinear effects can produce steepening. When these competing influences balance, the waveform can maintain a stable localized structure called a soliton. This balance is important because it explains how a disturbance can remain organized rather than continually broadening or deforming.
Nonlinear coupling can transfer energy among components of a wave and generate harmonics, meaning oscillations at related frequencies that were not present in the same way initially. Interactions between disturbances can therefore differ from simple addition under linear superposition. Examining these effects helps explain changes in waveform shape and the development of complex wave patterns.
A useful analysis begins by identifying the nonlinear terms that couple amplitude to propagation and then examining whether dispersion is also present. Researchers can relate those features to expected outcomes such as steepening, harmonic generation, localized structures, or shocks. Comparing the predicted behavior with the physical setting clarifies which mechanisms control wave shape, transport, or stability.
Nonlinear waves provide models for behavior in fluid and plasma dynamics, optical fibers, acoustics, and condensed matter systems. The relevant physical mechanisms may differ across these settings, but the framework connects amplitude-dependent propagation with observable changes in wave form and transport. This broad applicability makes the topic useful for studying both natural phenomena and engineered signal-transmission systems.
Models of nonlinear waves can describe shocks, energy transport, pattern formation, and controlled signal transmission. Waveform steepening helps connect the theory to shock-related behavior, while the balance between nonlinear effects and dispersion supports localized structures. These outcomes give researchers a way to relate mathematical terms in a model to measurable changes in propagation, organization, and signal behavior.