Controlling light in scattering media
Controlling light in scattering media
Controlling light in scattering media
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The scatter<strong>in</strong>g matrix<br />
Our system of study: A thick (opaque) layer of ZnO on a slab<br />
• Very stable (stationary diffuser, stable speckle figure)<br />
• Completely disordered, <strong>in</strong> the multiple scatter<strong>in</strong>g regime<br />
• L<strong>in</strong>ear, open system<br />
A natural formalism: the scatter<strong>in</strong>g matrix<br />
A <strong>in</strong><br />
A out<br />
t<br />
L<strong>in</strong>k the <strong>in</strong>put to the output fields of the system<br />
Bout B B <strong>in</strong><br />
<br />
A<strong>in</strong><br />
B <strong>in</strong><br />
=<br />
<br />
r<br />
t<br />
t <br />
.<br />
r<br />
<br />
Scatter<strong>in</strong>g matrix S<br />
<br />
Aout<br />
B out<br />
The transmission matrix (TM)<br />
can be measured with a CCD and a SLM!
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