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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...

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:

Series Resonance

Series Resonance

The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...

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...

Resonance in an AC Circuit

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...

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:

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Related Experiment Video

Updated: Mar 7, 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

Superresonant Radiation Stimulated by Higher Harmonics.

Cristian Redondo Lourés¹, Thomas Roger¹, Daniele Faccio¹

¹School of Engineering and Physical Sciences, Heriot-Watt University, EH14 4AS Edinburgh, United Kingdom.

Physical Review Letters

|February 11, 2017

Summary

Solitons in nonlinear media can now generate superresonant radiation, significantly boosting their intensity. This discovery has implications for frequency broadening and deep UV spectroscopy applications.

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Area of Science:

Nonlinear Optics
Soliton Physics
Quantum Optics

Background:

Solitons in higher-order dispersion media shed resonant radiation.
Applications include frequency broadening and deep UV sources.
Previous resonant radiation was a small fraction of the soliton intensity.

Purpose of the Study:

Investigate resonant radiation in ultrashort optical pulses.
Analyze the role of higher-order dispersion and nonlinear media.
Explore parametric stimulation of resonant radiation.

Main Methods:

Utilized a recently proposed analytic signal equation for modeling ultrashort optical pulses.
Investigated the third-harmonic generation term for resonant radiation.
Examined the universality of the mechanism in normal dispersion and higher harmonics.

Main Results:

Discovered unprecedented parametric gain stimulating resonant radiation.
Resonant radiation intensity now matches the soliton intensity.
Observed experimental hints of superresonant radiation stimulated by the fifth harmonic in diamond.

Conclusions:

The mechanism for superresonant radiation is universal.
This finding enhances possibilities for frequency broadening and deep UV generation.
Further research into superresonant phenomena is warranted.