Questions tagged [wave-propagation]
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Plot wavefronts of Laguerre-Gaussian modes
I am trying to plot wavefronts of Laguerre-Gaussian modes, and want to show the changing number of twists with the change in l values. If anyone has the code or any insights. Kindly help me about it. ...
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Solution to a 2D Schrödinger equation
I am trying to solve a 2D Schrödinger equation with a complicated non-separable potential $V(z,\rho)$,
$$ \nabla^{2}\Psi(z,\rho) +2(E_{0}-V(z,\rho))\Psi(z,\rho),$$
where $E_{0}$is the energy, $\hbar=m=...
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How to expand the wave-length of a time-series in Mathematica?
I have a set of coordinates that represent a time series for a wave train, ampitude/seconds.
An example of the time series is here:
As shown in previous posts, I extract the coordinates on a segment ...
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Animating a wave function
I have a wave equation which is generated from the command FourierSeries.
The generation of the time-component $FD[t]$ is given by:
...
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Solving equation using mathematica
How I can solve the equation :
$$R -\tan^{-1}[(m1/m3)*(k3/k1)] - \tan^{-1}[(m1/m2)*(k2/k1)]=0$$
I tried on it using findroot as following :
...
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Identifying an envelope function of a wave-packet [duplicate]
I have this wavepacket, which is defined over an interval $[a,b], \ a,b\in \mathbb{R}$. Suppose the wavepacket is complex trigonometric and analytic, then how can I find, using any formula or ...
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How should I define the boundary conditions of free end and fixed end scenarios for 1D Wave Equation?
The 1D wave equation is $$\frac{\partial^2 u(x,t)}{\partial t^2} = c^2 \frac{\partial^2 u(x,t)}{\partial x^2}$$
where $c$ is the wave speed, $c^2=E/\rho$, $E$ is the Young's modulus and $\rho$ is the ...
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Collision of two waves with phase difference
I am trying to produce collisional figures from this paper https://arxiv.org/pdf/1803.07165.pdf.
But failed to see the phase effect. In my case it just passes through one another. It basically solve a ...
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2D Chladni patterns realistic animation
My wish is to create a (realistic) animation of the patterns appearing during the Chladni experiment.
I tried something, but it is not continuous because it is based on the eigenmodes, so the ...
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How to solve the wave velocity in steel
In the simulation of stress wave propagation, I have the following two problems.
First question:
This question comes from page 69 of this book.
The Lame equation for a linear elastic body without ...
