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Related Concept Videos

Sound Waves: Resonance01:14

Sound Waves: Resonance

Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
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:
¹H NMR: Long-Range Coupling01:27

¹H NMR: Long-Range Coupling

The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene π orbitals.
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
Resonance in an AC Circuit01:26

Resonance in an AC Circuit

The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...
Concept of Resonance and its Characteristics01:19

Concept of Resonance and its Characteristics

If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not immune...

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Related Experiment Video

Updated: Jul 9, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
12:18

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Modal coupling in traveling-wave resonators.

T J Kippenberg, S M Spillane, K J Vahala

    Optics Letters
    |November 23, 2007
    PubMed
    Summary

    High-Q traveling-wave resonators exhibit strong modal coupling due to imperfections, altering their properties. These resonators act as narrowband reflectors, reflecting over 94% of optical signals.

    Area of Science:

    • Optics
    • Condensed Matter Physics
    • Photonics

    Background:

    • High-Q traveling-wave resonators are susceptible to scattering from imperfections.
    • These imperfections can induce strong modal coupling, significantly altering resonator behavior.

    Purpose of the Study:

    • To experimentally confirm predicted deviations from criticality in strongly coupled resonator systems.
    • To investigate the reflective properties of resonators in the strong modal coupling regime.

    Main Methods:

    • Utilizing high-Q resonators with Q > 10^8.
    • Employing modal coupling parameters up to 30.
    • Measuring optical signal reflection within a narrow bandwidth.

    Main Results:

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  • Resonators entered a strong modal coupling regime due to scattering.
  • Observed significant alterations in resonator coupling properties.
  • Achieved >94% optical signal reflection within a 40 MHz bandwidth.
  • Conclusions:

    • Strong modal coupling in high-Q resonators can mimic narrowband reflectors.
    • Experimental results confirm theoretical predictions of deviations from criticality.
    • These findings have implications for optical filtering and signal processing.