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Related Concept Videos

Magnetic Damping01:17

Magnetic Damping

Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
Stability of structures01:14

Stability of structures

In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
Pole and System Stability01:24

Pole and System Stability

The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's response.
Stability01:28

Stability

The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Residual Stresses in Circular Shafts01:10

Residual Stresses in Circular Shafts

In materials that exhibit elastic and plastic behavior, known as elastoplastic materials, residual stresses can accumulate when these materials experience plastic deformation. This deformation arises from either high levels of shearing stress or significant strains. Residual stresses are internal stresses that persist within a material after removing the external force causing deformation. This phenomenon is demonstrated when observing the behavior of a shaft under torque; notably, the shaft's...

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Related Experiment Video

Updated: Jun 22, 2026

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators
09:46

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Active control and stability in microring resonator chains.

Francisco J Fraile-Peláez, Pedro Chamorro-Posada

    Optics Express
    |June 18, 2009
    PubMed
    Summary

    We analyzed light propagation in microring resonator chains with loss or gain. The study shows how to control group index using amplification, with potential applications in photonics.

    Area of Science:

    • Photonics and optical engineering
    • Wave propagation phenomena

    Background:

    • Microring resonators are key components in integrated photonics.
    • Understanding light behavior in chains with loss/gain is crucial for device design.

    Purpose of the Study:

    • To analytically and numerically investigate light propagation in microring resonator chains.
    • To determine stability conditions for chains with gain.
    • To demonstrate control over group index via amplification.

    Main Methods:

    • Analytical modeling of light propagation.
    • Numerical simulations of resonator chains.
    • Derivation of stability criteria.

    Main Results:

    • Established stability conditions for microring resonator chains with distributed gain.

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  • Demonstrated tunable group index control within specific amplification regimes.
  • Identified potential applications for the observed phenomena.

    • Conclusions:

    • Distributed loss or gain significantly impacts light propagation in microring resonator chains.
    • Group index control is achievable through controlled amplification.
    • The findings offer pathways for novel photonic device functionalities.