Questions tagged [resonance]
Resonance is a characteristic of physical systems having a structure that allows energy to flow between various states at a specific, oscillatory rate (resonant frequency). For a stable resonant system at steady state the internal energy is either fixed without losses or the rate of energy input is equal to the energy losses.
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Does the AC Stark Effect in Multilevel Systems depend on whether a state is populated or not?
For the sake of simplicity, assume a 3 level system, subject to a Hamiltonian $H_0$. The Hilbert space is then completely spanned by 3 states with energies $E_1$, $E_2$ and $E_3$.
I'd like to ...
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Exciting a normal mode of $N$ coupled oscillator with driving force
Suppose we have $N$ coupled oscillator with the fixed ends.
We can find the normal modes of this system by considering an infinite system and using space translation symmetry to diagonalize the ...
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How many cavity round trips typically occur inside laser resonators?
Is it possible to estimate the number of cavity round trips occurring inside typical laser resonators, e.g. in a laser diode or a He-Ne laser?
Motivation: I've come across a short blog text, where the ...
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Why does blowing a whistle in someone's ear damage it more than blowing directly in their ear? Won't the whistle reduce overall energy?
If I blow really hard from a whistle near someone's ear, it'll hurt a lot. But if I blow directly at a person's ear, it won't hurt nearly as much. But shouldn't the whistle (or any other obstruction) ...
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One normal mode frequency not seen in Resonance in forced coupled oscilators
The problem is that I have three charges with mass $m$ connected by two springs with the same elastic constant. The first and the last charge has charge $q$, the middle one $-q$. They are inside an ...
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Time scale of earthquake simulations on scaled building models
The effect of earthquakes on a building can be investigated by creating a scaled down model of the building, and simulate an earthquake on a shake table.
A recording of a natural earthquake can be ...
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What exactly are sympathetic vibrations?
On every source and in every example, it seems that sympathetic vibrations are quite directly linked to or are the same as resonance.
The classic example of sympathetic vibrations is of two similar ...
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Force supplied by oscillation generator: is there a way in finding the amplitude of the force?
In a mass-spring system with an oscillation generator, a force is supplied by the generator that causes the mass to oscillate. I know that the force is periodic/harmonic and I have defined it as $F=f\...
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How to test resonance frequency of spring using sound?
I've done experiment with spring and mass to determine the natural frequencies of 4 springs. The first experiment went well but I had some problem when I want to test the resonant frequency. I'll ...
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How would you experimentally determine the damping coefficient of a system?
We have a suspended beam that we need to determine the natural frequency, and more importantly the damping, of. To avoid resonance.
The geometry of the beam is a little too complex to rely on theory ...
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Is resonance a general property of second-order differential equations?
I have read at this site as an answer at a question about how antennas work but that is not important
The resonant frequency of an antenna is determined by its constitution. Mathematically speaking, ...
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In theory, would amplitude keep increasing forever in an oscillating system in resonace?
Because there is a limit in experiments modelling resonance, the amplitude of oscillation will eventually reach a limit. However, in theory, if there wouldn't be any limitations in the set up of the ...
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Periodic Table of Elements Resonant Frequencies (Resonant, Emitted and Absorbtion)
I'm looking for a nice PTE chart that gives the frequencies of each element by Fraunhofer scale.
Any help?
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Understanding frequency in cuboid acoustic resonator
We have a box with a speaker in the corner:
There is a formula for a frequency: $\nu=\sqrt{\nu _x^2+\nu _y^2+\nu _z^2}$, where $\nu _x$,$\nu _y$ and $\nu _z$ can be any resonant frequencies in each ...
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Doppler broadening and Voigt profile
The shape of an isolated neutron resonance at incident neutron energy, $E_{R}$, can to first-order be represented by the single-level Breit-Wigner (SLBW) formalism, which is equivalent to a Lorentzian ...
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Question about demonstration of resonance
In my book, an experiment to demonstrate resonance if given with the help of tuning force.
The book suggests the use of two identical tuning forks on two separate sound boxes such that their open end ...
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How can there be absorption and reemission of photons when there is a coherent part of the resonance fluorescence radiation?
When we expose a 2-level system to monochromatic light and we are in the stationary state of resonance-fluorescence, the atom radiates into all space.
A part of the light that is emitted from the 2-...
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Q-factor decomposition of superconducting resonators
The internal Q-factor of superconducting resonator can be described by the following formula (B. Mergant et al. "Dielectric surface loss in superconducting resonators with flux-trapping
holes&...
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Is there a 'better' tuning frequency than 440 Hz? [closed]
My apologize if this question is a bit broad or open ended but I'm asking here rather than a music forum for two reasons:
I'm trying to gain a better understanding of the physics of sound
and ...
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Resonance and differential equation
I've read that resonance can be modelled by the differential equation:
$$\ddot{x}+\omega^2x=f\cos(\omega_\text{d} t), \quad x(0)=\dot{x}(0)=0$$
However, it's mainly explained in the context of a mass-...
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How Do Soundwaves Move and Influence Specific Particles or Gases? Natural Resonant Frequencies?
So I was browsing about natural resonant frequencies and how they work, and I stumbled upon this article:
https://www.euronews.com/2022/01/21/polish-town-tests-anti-smog-sound-cannon-to-tackle-...
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Resonance Frequency in a Tube
I am trying to design a physical experiment to find the acoustic resonance frequencies of a plastic, cylinder pipe, to draw an analogy to the workings of musical instruments such as a flute. However, ...
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What do we mean by 'resonance frequency' of a system?
Whenever we talk about oscillations, we generally take the term 'resonant frequency' for granted, but I don't understand what this frequency depends on.
For example, if we talk about a freely ...
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Transmission spectrum of optical cavities
Why is the transmission spectrum of a Fabry-Perot (FP) cavity looks different to that of a ring resonator? i.e. at resonances in FP we have transmission peaks at resonances whereas in rings there are ...
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Is stimulated emission emitted by a rotating classical dipole subject to a resonant oscillating wave beamed?
Consider a dipole, $\pm q$ connected by a rigid rod of length $2L$, spinning around its center in the $x-y$ plane with angular frequency $\omega$, such that the charges follow $\vec{r}_{\pm q}(t) = \...
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ODE solutions for a driven oscillator in higher resonance modes
An ODE for a driven, undamped, oscillator might be written as
$$
m\frac{d^2y}{dt^2}+ky=\sin{(\sqrt{k/m})}t
$$
If the initial conditions are $y(0)=0$ and $y'(0)=0$ and the values of parameters are $m=1$...
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Multiple Pendulums and Resonance
Set up with multiple pendulums suspended from a connecting string. Pendulums 1 and 4 have the same lengths and hence, the same natural frequencies. Others(pendulums 2, 3 and 5) are of varying ...
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Can cyclotron/gyromagnetic resonance occur if the peak of an AC wave corresponds with the resonance frequency?
So basically I'm curious if it's possible for cyclotron resonance to occur with a non-static, AC magnetic field if the frequency of it is equal to the cyclotron resonance frequency at the peak AC ...
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What is the name for this type of curve?
I encountered this curve in the notes for a physics experiment:
It was described by the equation
$$
A = \frac{kA_0}{m\sqrt{\left(\omega_0^2 - \omega^2\right)^2+(2\gamma\omega)^2}}
$$
EDIT: I think it ...
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How does the string of an acoustic guitar transfer energy to the guitar's body?
I've learned through the answer to this post that the purpose of the soundboard of an acoustic guitar is to match the impedance of air, facilitating the energy transfer from the strings to the sound ...
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Can an object's resonance be changed (and how easily if possible)?
If I take a ruler and restrict the motion of a part of the ruler, would that change the resonant frequency of the ruler? I was wondering this because if I take a ruler and have half of it off a desk ...
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Conversion of Reich-Moore resonance parameters to neutron cross section?
For the Single-Level Breit-Wigner (SLBW) formula, the peak resonant neutron cross section is related to the total width, $\Gamma = \Gamma_{(n)} + \Sigma_{r}\Gamma_{(r)}$, reported as GT in ENDF. For ...
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Is the resonance of a wine glass and resonance in an electrical circuit the same thing?
I am quite a noob at Physics, but I find it quite interesting, and resonance was especially intriguing when I first found out about it, but now that I have done a little bit of research, I either get ...
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Find resonance for vibration motor [closed]
I have a motor that spins with a certain RPM (let's consider it constant: r). I attach a weight of mass m on a (weightless) ...
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HOW are harmonics generated in longitudinal waves on the particle level?
I have been looking through the physics.se and all over the internet for weeks now honestly, and I still don't understand how harmonics are formatted on the particle level. Yes, I know that only ...
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How is maximum amplitude of resonance achieved?
Lets take a simplest case of a narrowly tuned system and the outside force exactly at the natural frequency of it. The first pulse will go through, bounce back somewhat weaker and get reinforced by ...
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Why damping affect natural frequency of simple harmonic motion? [duplicate]
I am curious about that since damping will not affect frequency of SHM, then why it does affect on the natural frequency of the SHM. In the resonance damping graph the peak amplitude become lower but ...
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How can I mathematically describe the reflected sound waves in an open tube?
When a sinusoidal sound wave passes through a tube open at both ends, it will get reflected when it reaches the end of the tube. The reflected wave will itself reflect when it reaches the opposite end ...
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Standing waves in a resonance tube
I am doing an experiment about standing waves in a resonance tube. I use a bucket of water, a waterproof tube (open at both ends), and a frequency generator app. I have two set-ups, A and B:
A. ...
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Going through resonance without damping by controlling the coupling between the oscillator and the generator
To introduce resonance, we usually find in elementary Physics lectures the following system"
The solution of which is:
$$\begin{cases}x(t)= \frac{A}{ \omega^2-\omega^2_{0}}sin(\omega~t) ~~~~\...
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AC Stark shift in a 3 level system
If we have a 2 level system and I send a laser on resonance, when working in the dressed atom description, each level gets split by $\pm\Omega$ i.e. the Rabi frequency of the laser. Now if we send a ...
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Measured frequency of the sound produced when blowing in a bottle is half of calculated
Preparing one lecture about resonance in cylindrical tubes with one closed end, I decided to make some experiments to compare calculated frequencies and measured ones.
We can find anwhere (click here, ...
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Motorcycle handle Bar vibration & Bar End Weights
Pic 1 is a normal motorcycle bar end weights.
My question, if I replace the bar end weights with a long threaded rod (M8x150) and the thread rod is inserted inside the handle bar(pic 2), will it ...
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Optical power between mirrors in resonant Fabry-Perot interferometer
I'm reading through the book Introduction To Laser Technology and just got to the section on Fabry-Perot interferometers. The book talks about the seemingly paradoxical behaviour of the optical power ...
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Vortex generated as a result of Newton's third law
This books states this process as a result of Newton's third law. However I just can't find ways to graps how the "vortex" is generated, is it a fundamental law? (The question emerges on the ...
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Acoustic resonance inside an enclosed sphere
I apologize if this question is too basic.
Assume an acoustic source suspended at the center of a hollow spherical shell. (The reason why the central acoustic source is suspended inside the sphere can ...
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Link between resonant states (quasinormal modes) in 1D wave equation, and roots in reflection coefficient?
For a simple Fabry-Perot cavity formed by a dielectric slab, the quasi-normal mode frequencies (i.e. $\omega=i \frac{c}{2nL}\ln{r^2}$, where $nL$ is the optical path difference between ends of the ...
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Does resonance still occur at half, a quarter, etc. of the resonant frequency?
Examples of resonance that I have seen are pushing a swing and shattering a glass.
I know the swing analogy, that if you push at the right frequency, you can make the swing go higher and higher. My ...
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Deriving an lumped element LC circuit as the limit of a resonant cavity mode
In principle, an LC circuit is just a degenerate limit of an electromagnetic cavity, where the frequency $\omega_0$ of the resonant mode is much lower than the inverse size of the cavity. As a result, ...
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What is the function of air cavity in drums?
I'm trying to understand the function of the air cavity inside drums.
I've read that 'The air cavity inside the drum will have a set of resonance frequencies determined by its shape and size. This ...
