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4 votes
3 answers
292 views

Lossless beam splitter relations

Wikipedia says that for a beam splitter $$\begin{bmatrix}E_{c}\\ E_{d} \end{bmatrix}=\begin{bmatrix}r_{ac} & t_{bc}\\ t_{ad} & r_{bd} \end{bmatrix}\begin{bmatrix}E_{a}\\ E_{b} \end{bmatrix}$$ ...
Darkenin's user avatar
  • 1,038
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 ...
Darkenin's user avatar
  • 1,038
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 ...
BowPark's user avatar
  • 767