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The arithmetic mean is usually skewed towards the larger values in the data set. Therefore, to avoid this inherent bias towards smaller values, the harmonic mean is used.
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To determine the energy of a simple harmonic oscillator, consider all the forms of energy it can have during its simple harmonic motion. According to Hooke's Law, the energy stored during the compression/stretching of a string in a simple harmonic oscillator is potential energy. As the simple harmonic oscillator has no dissipative forces, it also possesses kinetic energy. In the presence of conservative forces, both energies can interconvert during oscillation, but the total energy remains...
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Simple harmonic motion is the name given to oscillatory motion for a system where the net force can be described by Hooke's law. If the net force can be described by Hooke's law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position. To derive an equation for period and frequency, the equation of motion is used. The period of a simple harmonic oscillator is given...
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Smooth muscles are an important type of muscle tissue that plays a vital role in the involuntary movements of internal organs. For example, they help regulate the movement of food through the gut and the flow of blood through the circulatory system.
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Related Experiment Video

Updated: Jan 28, 2026

Fabrication of Thin Film Silver/Silver Chloride Electrodes with Finely Controlled Single Layer Silver Chloride
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Fabrication of Thin Film Silver/Silver Chloride Electrodes with Finely Controlled Single Layer Silver Chloride

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Second harmonic generation hotspot on a centrosymmetric smooth silver surface.

Matan Galanty1, Omer Shavit1, Adam Weissman1

  • 11Department of Chemistry, BINA Nano Center for Advanced Materials, Bar-Ilan University, Ramat-Gan, Israel.

Light, Science & Applications
|March 7, 2019
PubMed
Summary

Researchers enhanced second harmonic generation (SHG) on smooth silver films using surrounding nanocavities. This creates switchable nonlinear hotspots for applications in imaging and spectroscopy.

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Area of Science:

  • Nonlinear optics
  • Plasmonics
  • Surface science

Background:

  • Second harmonic generation (SHG) is typically forbidden in centrosymmetric materials like bulk metals.
  • SHG from smooth metallic surfaces is generally negligible due to symmetry.
  • Breaking symmetry via morphological or dielectric discontinuities is required for observable SHG.

Purpose of the Study:

  • To experimentally demonstrate enhanced SHG on smooth metallic films.
  • To investigate the role of nanocavities in boosting SHG.
  • To explore the dynamic control of nonlinear optical hotspots.

Main Methods:

  • Non-linear microscopy to visualize SHG.
  • Linear optical measurements for optical characterization.
  • Cathodoluminescence (CL) imaging to support observations.
  • Controlled polarization of incoming light field.

Main Results:

  • SHG was locally enhanced by over an order of magnitude on smooth silver films surrounded by nanocavities.
  • Nanocavity-assisted SHG hotspots were observed.
  • Hotspot intensity and location were dynamically controlled by light polarization.
  • Plasmonic modes from nanocavities were suggested to cause localized SHG.

Conclusions:

  • Nanocavities can create switchable nonlinear hotspots on smooth metallic films.
  • This technique offers significant enhancement for SHG.
  • Potential applications include photocatalysis, single-molecule spectroscopy, and nonlinear surface imaging.