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Related Concept Videos

Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

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.
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Nonlinear Pharmacokinetics: Causes of Nonlinearity

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...

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Related Experiment Video

Updated: Jul 4, 2026

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

Single-cycle nonlinear optics.

E Goulielmakis1, M Schultze, M Hofstetter

  • 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany. elgo@mpq.mpg.de

Science (New York, N.Y.)
|June 21, 2008
PubMed
Summary
This summary is machine-generated.

Researchers confined light-matter interactions to a single wave cycle using ultrashort laser pulses. This breakthrough enables precise control over electron motion and interactions with attosecond resolution.

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Low-cost Custom Fabrication and Mode-locked Operation of an All-normal-dispersion Femtosecond Fiber Laser for Multiphoton Microscopy
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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

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Last Updated: Jul 4, 2026

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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Area of Science:

  • Nonlinear optics
  • Strong-field physics
  • Ultrafast science

Background:

  • Nonlinear optics is crucial for optical science and laser technologies.
  • Controlling light-matter interactions at the fundamental level is key to advancing scientific understanding.

Purpose of the Study:

  • To confine nonlinear light-matter interactions to a single optical wave cycle.
  • To demonstrate the utility of this confinement for time-resolved and strong-field science.
  • To generate isolated attosecond pulses for probing ultrafast phenomena.

Main Methods:

  • Utilized 3.3-femtosecond, 0.72-micron laser pulses with a controlled waveform.
  • Achieved atomic ionization near the crests of the central wave cycle.
  • Generated isolated sub-100-attosecond extreme ultraviolet (XUV) pulses.

Main Results:

  • Demonstrated ionization confined to a single wave cycle.
  • Produced isolated ~80 eV XUV pulses with ~0.5 nJ energy.
  • Achieved a conversion efficiency of approximately 10^-6.

Conclusions:

  • This technique allows for precise control of electron motion with light fields.
  • Enables the study of electron-electron interactions with resolution approaching the atomic unit of time (~24 attoseconds).
  • Opens new avenues for ultrafast science and strong-field physics research.