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Sound Waves: Resonance

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 Cavity

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:

Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

Characteristics of Series Resonant Circuit

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:

Double Resonance Techniques: Overview

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...

Concept of Resonance and its Characteristics

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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Unstable ring resonator with a compact output beam: description and experimental evaluation.

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Calculation of equivalent Fresnel numbers for unstable resonators with scraper mirrors.

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Improved method for calculating phase-matching criteria in biaxial nonlinear materials.

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Related Experiment Video

Updated: Jun 21, 2026

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Published on: April 4, 2016

Annular converging wave resonator: new insights.

A H Paxton, J H Erkkila

|August 15, 2009

Summary

A new theory for annular converging wave resonators has been developed, explaining experimental results. This research also explores resonator configurations for efficient single-mode power extraction from annular gain regions.

Area of Science:

Physics
Wave Phenomena
Resonator Technology

Background:

Annular converging wave resonators are crucial for various applications.
Previous experimental results required theoretical explanation.
Efficient power extraction from large-volume gain regions is a key challenge.

Purpose of the Study:

To develop a simple theory for annular converging wave resonators.
To explain existing experimental data.
To investigate configurations for single-mode power extraction.

Main Methods:

Theoretical modeling of annular converging wave resonators.
Comparison of theoretical predictions with experimental outcomes.
Analysis of resonator configurations for power extraction.

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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

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Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

Published on: August 8, 2025

Related Experiment Videos

Last Updated: Jun 21, 2026

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

Published on: April 4, 2016

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

Fabrication and Characterization of High-Q Silicon Nitride Membrane Resonators

Published on: August 8, 2025

Main Results:

A straightforward theory accurately describes annular converging wave resonator behavior.
The developed theory successfully explains results from two recent experiments.
Identified potential resonator configurations for single-mode power extraction.

Conclusions:

The new theory provides a foundational understanding of annular converging wave resonators.
The theory validates experimental observations.
The study offers insights into advanced resonator designs for efficient energy extraction.