Skip to content

Commit

Permalink
Add line source fs in time domain
Browse files Browse the repository at this point in the history
  • Loading branch information
hagenw committed Feb 20, 2017
1 parent 2815a69 commit 597be37
Showing 1 changed file with 10 additions and 0 deletions.
10 changes: 10 additions & 0 deletions index.txt
Original file line number Diff line number Diff line change
Expand Up @@ -1640,6 +1640,16 @@ from :eq:`D.wfs.ls`
\frac{\scalarprod{\x_0-\xs}{\n_{\x_0}}}{|\x_0-\xs|}
\Hankel{1}{1}{\wc |\x_0-\xs|}.
Transferred to the temporal domain via an inverse Fourier transform :eq:`ifft`
it follows

.. math::
:label: d.wfs.fs.ls
d(\x_0,t) = \sqrt{\frac{1}{2\pi}} a(t) * h(t) * w(\x0)
\frac{\scalarprod{\vec{v}}{\n_{\x_0}}}{|\vec{v}|^{\frac{3}{2}}}
\dirac{t+\frac{|\vec{v}|}{c}}.
The window function :math:`w(\x_0)` for a focused source can be calculated as

.. math::
Expand Down

0 comments on commit 597be37

Please sign in to comment.