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Related Concept Videos

Compensation Mechanisms01:28

Compensation Mechanisms

The human body employs intricate mechanisms to counteract changes in blood pH, preventing conditions like acidosis (pH < 7.35) and alkalosis (pH > 7.45). These compensatory responses aim to restore normal arterial blood pH by engaging respiratory or renal systems, depending on the source of the imbalance.
Respiratory Compensation
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Minor Losses in Pipes

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Reducing Line Loss01:18

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Gain01:15

Gain

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Line Loss01:10

Line Loss

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Lossy Lines and Overvoltages

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Attenuation
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Updated: May 30, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

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Published on: April 4, 2017

Loss compensation by gain and spasing.

Mark I Stockman1

  • 1Department of Physics and Astronomy, Georgia State University, Atlanta, GA 30303, USA. mstockman@gsu.edu

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|August 3, 2011
PubMed
Summary
This summary is machine-generated.

Full loss compensation in gain metamaterials is impossible. Attempts lead to instability and spaser generation, limiting net gain and preventing overcompensation.

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Last Updated: May 30, 2026

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Area of Science:

  • Metamaterials
  • Plasmonics
  • Quantum Optics

Background:

  • Metamaterials offer unique electromagnetic properties.
  • Gain incorporation in metamaterials is crucial for novel applications.
  • Understanding loss compensation is key to controlling metamaterial behavior.

Purpose of the Study:

  • To develop a theory for the effective dielectric response of metamaterials with gain.
  • To analytically demonstrate the conditions for spaser generation and loss compensation.
  • To investigate the limits of loss compensation and its effect on metamaterial stability.

Main Methods:

  • Analytical theory development.
  • Investigation of plasmonic-gain metamaterial response.
  • Derivation of the criterion for loss overcompensation.

Main Results:

  • Identical conditions for spaser generation and full loss compensation.
  • Instability and transition to spaser state upon full or overcompensation of losses.
  • Inherent limitation (clamping) of inversion and elimination of net gain.
  • Universal criterion for loss overcompensation leading to instability.

Conclusions:

  • Full loss compensation in dense resonant plasmonic-gain metamaterials is fundamentally impossible.
  • Gain-induced instability prevents achieving net gain through complete loss cancellation.
  • The derived criterion provides a universal understanding of loss overcompensation limits in metamaterials.