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3
questions
4
votes
3
answers
292
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Lossless beam splitter relations
Wikipedia says that for a beam splitter $$\begin{bmatrix}E_{c}\\
E_{d}
\end{bmatrix}=\begin{bmatrix}r_{ac} & t_{bc}\\
t_{ad} & r_{bd}
\end{bmatrix}\begin{bmatrix}E_{a}\\
E_{b}
\end{bmatrix}$$ ...
1
vote
0
answers
19
views
Energy flux proportionality
It is considered trivial in texts that if:
$J \propto \frac{\partial \psi}{\partial x} \frac{\partial \psi}{\partial t}$
Where $J$ is the energy flux, then $J$ is proportional to the amplitude of the ...
1
vote
2
answers
1k
views
$\omega(k)$ and $k(\omega)$ about waves
Wave propagation is characterized by the wavenumber $k$ and the angular frequency $\omega$. Sometimes (like in this answer) the relation $\omega (k)$ is preferred; sometimes instead $k ( \omega)$ is ...