Talbot Carpet for a Ronchi Grating

​
t
0.5
a
0.5
m
10
z
T
0.7
δ
0.01
view
1D
2D
3D
A Ronchi grating is a set of equally spaced parallel wires that creates a diffraction pattern known as a Talbot carpet. The pattern is repeated at multiples of a fixed distance
z
T
(the Talbot distance).

Details

The wave in the carpet has the functional form
ψ=
1
2
+
2
π
m
∑
k=0
k
(-i)
cos
2π(2k+1)x
a
exp-
iπ
2
(2k+1)
z
z
T
(2k+1)
,
where
a
is the separation between slits in the Ronchi grating. Here the series is approximated with
m
terms and evaluated in steps of size
δ
.

References

[1] M. V. Berry, I. Marzoli, and W. Schleich, "Quantum Carpets, Carpets of Light," Physics World, 14(6), 2001 pp. 39–44.
[2] M. S. Kim, T. Scharf, C. Menzel, C. Rockstuhl, and H. P. Herzig, "Talbot Images of Wavelength-Scale Amplitude Gratings," Optics Express, 20(5), 2012 pp. 4903–4920.

External Links

Diffraction (ScienceWorld)

Permanent Citation

Enrique Zeleny
​
​"Talbot Carpet for a Ronchi Grating"​
​http://demonstrations.wolfram.com/TalbotCarpetForARonchiGrating/​
​Wolfram Demonstrations Project​
​Published: August 13, 2013