Difference between revisions of "Spatial filter"

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A laser beam is by definition coherent with respect to longitudinal wavelengths which is determined by the length of the cavity. But coherent light can also exhibit transverse modes. A cross section of laser beam might exhibit a combination of various modes creating an uneven intensity. The spatial filter is a device such as a pinhole used to eliminate transverse modes.  
A laser beam is by definition coherent with respect to longitudinal wavelengths which is determined by the length of the cavity. But coherent light can also exhibit transverse modes. A cross section of laser beam might exhibit a combination of various modes creating an uneven intensity. The spatial filter is a device such as a pinhole used to eliminate transverse modes.


[[Image:Laguerre-gaussian.png|thumb|right|Cylindrical transverse mode patterns TEM(pl)]]
[[Image:Laguerre-gaussian.png|thumb|right|Cylindrical transverse mode patterns TEM(pl)]]
Most lasers now typically possess a single transverse mode though. Unfortunately, because of aberrations due to sub-optimal optical components (lenses, beamsplitters, etc.) or even nonlinear effects (going through an optical parametric amplifier), this single transverse mode beam gets aberrated and since Z-scan requires such a good Gaussian beam we need a way to clean it up. By focusing the beam down, you get the Fourier transform of it in the focal plane. The main point is that higher spatial frequencies (i.e. those responsible for the "noise" on the beam) are further away from the center than the lower spatial frequencies which make up the clean TEM00 mode. By placing an aperture just big enough to let through the low frequencies while cutting of the higher ones, we can clean up the beam.
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A pinhole selects for the central TEM<sub>0</sub> mode and blocks all the others.
A pinhole selects for the central TEM<sub>0</sub> mode and blocks all the others.


[[Image:Spatial coherence pinhole.png|thumb|300px|Coherent wavefront also have transverse waves which are elimnated by a pinhole. ]]
[[Image:Spatial_Filter_-_process.jpg|thumb|842px|center|Processing of a beam to remove higher spatial frequencies ]]
 
<swf width="600" height="400" align="center">images/7/71/Z-scanclean.swf</swf>
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The result is a clean gaussian distribution of beam power across the cross section.
The result is a clean gaussian distribution of beam power across the cross section. This is desirable for many optical setups such as the [[Femtosecond Z-Scan Spectrometer]]


[[Image:Laser gaussian profile.svg|thumb|300px|A gaussian power distribution ]]
[[Image:Laser gaussian profile.svg|thumb|300px|A gaussian power distribution ]]


see [[wikipedia.org:Gaussian_beam]]
see [[wikipedia:Gaussian_beam]]

Latest revision as of 13:13, 7 June 2011

A laser beam is by definition coherent with respect to longitudinal wavelengths which is determined by the length of the cavity. But coherent light can also exhibit transverse modes. A cross section of laser beam might exhibit a combination of various modes creating an uneven intensity. The spatial filter is a device such as a pinhole used to eliminate transverse modes.

Cylindrical transverse mode patterns TEM(pl)

Most lasers now typically possess a single transverse mode though. Unfortunately, because of aberrations due to sub-optimal optical components (lenses, beamsplitters, etc.) or even nonlinear effects (going through an optical parametric amplifier), this single transverse mode beam gets aberrated and since Z-scan requires such a good Gaussian beam we need a way to clean it up. By focusing the beam down, you get the Fourier transform of it in the focal plane. The main point is that higher spatial frequencies (i.e. those responsible for the "noise" on the beam) are further away from the center than the lower spatial frequencies which make up the clean TEM00 mode. By placing an aperture just big enough to let through the low frequencies while cutting of the higher ones, we can clean up the beam.


A pinhole selects for the central TEM0 mode and blocks all the others.

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Processing of a beam to remove higher spatial frequencies

<swf width="600" height="400" align="center">images/7/71/Z-scanclean.swf</swf>
The result is a clean gaussian distribution of beam power across the cross section. This is desirable for many optical setups such as the Femtosecond Z-Scan Spectrometer

A gaussian power distribution

see wikipedia:Gaussian_beam