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Related Concept Videos

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Harmonic Mean

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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.
Take the example of the speed of a car, which is the measure of the rate of distance traveled. If the vehicle traverses the same distance back-and-forth, its average speed equals the total distance traveled divided by the total time taken. However, if the car moves with varying speeds, then the arithmetic mean is more skewed...
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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.
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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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When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
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The key characteristic of the simple harmonic motion is that the acceleration of the system and, therefore, the net force are proportional to the displacement and act in the opposite direction to the displacement. Additionally, the period and frequency of a simple harmonic oscillator are independent of its amplitude. For example, diving boards move faster or slower based on their thickness. A stiff, thick diving board has a large force constant, which causes it to have a smaller period, while a...
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Updated: Feb 5, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Second-harmonic-assisted four-wave mixing in chip-based microresonator frequency comb generation.

Xiaoxiao Xue1,2, François Leo3,4, Yi Xuan2,5

  • 1Department of Electronic Engineering, Tsinghua University, Beijing 100084, China.

Light, Science & Applications
|September 1, 2018
PubMed
Summary

We demonstrate a new method for generating optical frequency combs in microresonators, even in the normal dispersion regime. This overcomes limitations for optical clocks and frequency metrology, particularly in the visible spectrum.

Keywords:
Kerr frequency combfour-wave mixingmicroresonatorsecond-harmonic generation

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Area of Science:

  • Nonlinear optics
  • Quantum optics
  • Microresonator devices

Background:

  • Simultaneous Kerr comb formation and second-harmonic generation in microresonators are crucial for optical clocks and frequency metrology.
  • Complex cavity dynamics arise from second- and third-order nonlinearities, requiring further understanding.

Purpose of the Study:

  • To explore a novel phase-matching mechanism for four-wave mixing in optical microresonators.
  • To enable optical frequency comb generation in the normal dispersion regime, overcoming typical limitations.

Main Methods:

  • Derivation of coupled time-domain mean-field equations.
  • Experimental observation and simulation of microresonator dynamics.
  • Investigating the interaction between fundamental and second-harmonic waves.

Main Results:

  • Demonstrated a new phase-matching pathway for four-wave mixing via fundamental-second-harmonic wave interaction.
  • Achieved optical frequency comb generation in the normal dispersion regime under previously prohibited conditions.
  • Simulation results showed good qualitative agreement with experimental observations.

Conclusions:

  • The interaction between fundamental and second-harmonic waves offers a new method for phase matching in microresonators.
  • This approach overcomes the dispersion limit for simultaneous Kerr comb formation and second-harmonic generation.
  • Findings are significant for optical clock stabilization in the near-visible to visible range.