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Related Concept Videos

Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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...
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...
Entropy and Solvation02:05

Entropy and Solvation

The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ ≥ 15); an...
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...

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Related Experiment Video

Updated: Jun 23, 2026

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

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Published on: December 15, 2021

Vacuum-induced jitter in spatial solitons.

E Nagasako, R Boyd, G S Agarwal

    Optics Express
    |April 23, 2009
    PubMed
    Summary

    Quantum fluctuations do not significantly impact spatial solitons in nonlinear materials. Calculations show quantum uncertainty in position is far smaller than the soliton width, ensuring device reliability.

    Area of Science:

    • Quantum mechanics
    • Nonlinear optics
    • Solid-state physics

    Background:

    • Spatial solitons are self-reinforcing light beams in nonlinear media.
    • Understanding quantum effects on soliton propagation is crucial for photonic device stability.
    • Previous studies have explored classical soliton dynamics, but quantum influences remain less understood.

    Purpose of the Study:

    • To investigate the influence of quantum mechanical fluctuations on spatial soliton propagation.
    • To quantify the quantum uncertainty in soliton position and transverse momentum.
    • To assess the impact of these quantum effects on the reliability of soliton-based photonic devices.

    Main Methods:

    • Derivation of equations of motion for linearized operators.
    • Analysis of deviations from classical soliton solutions.

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  • Calculation of quantum uncertainty in position and transverse momentum.

    • Main Results:

    • Quantum uncertainty in soliton position is several orders of magnitude smaller than the classical soliton width.
    • Quantum fluctuations have a negligible effect on the overall soliton propagation under realistic conditions.

    Conclusions:

    • Quantum mechanical fluctuations do not compromise the reliability of photonic devices utilizing spatial solitons.
    • The study provides theoretical evidence for the robustness of spatial solitons against quantum noise.