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Related Concept Videos

Oscillations In An LC Circuit01:30

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...
Stability of Equilibrium Configuration01:23

Stability of Equilibrium Configuration

Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
Forced Oscillations01:06

Forced Oscillations

When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
RLC Circuit as a Damped Oscillator01:30

RLC Circuit as a Damped Oscillator

An RLC circuit combines a resistor, inductor, and capacitor, connected in a series or parallel combination.
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...

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Related Experiment Video

Updated: May 9, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
07:42

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

Published on: December 15, 2021

Stabilization of a Kerr frequency comb oscillator.

A A Savchenkov1, D Eliyahu, W Liang

  • 1OEwaves Inc., Pasadena, California 91107, USA.

Optics Letters
|August 2, 2013
PubMed
Summary
This summary is machine-generated.

We demonstrated a stabilized Kerr frequency comb using a microresonator. A correlation between the pump laser and comb repetition frequency enabled this stabilization with 87Rb.

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Last Updated: May 9, 2026

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

  • Optics and Photonics
  • Quantum Optics
  • Laser Physics

Background:

  • Microresonator-based Kerr frequency combs are crucial for optical frequency synthesis.
  • Understanding their stability and spectral purity is essential for advanced applications.

Purpose of the Study:

  • To experimentally investigate the stability and spectral purity of a microresonator Kerr frequency comb.
  • To demonstrate a method for stabilizing the comb's repetition frequency using an atomic transition.

Main Methods:

  • Experimental study of a nonlinear optical microresonator.
  • Observation and analysis of the correlation between pump laser frequency and comb repetition frequency.
  • Proof-of-principle demonstration of frequency comb stabilization using the 87Rb optical transition.

Main Results:

  • Observed a direct correlation between the pump laser frequency and the Kerr frequency comb's repetition frequency.
  • Successfully stabilized the Kerr frequency comb using the 87Rb atomic transition, leveraging the observed correlation.

Conclusions:

  • The identified correlation provides a viable mechanism for stabilizing microresonator-based Kerr frequency combs.
  • This work paves the way for practical applications requiring highly stable optical frequency combs.