Ilja Gerhardt

Software - Cesium Data


We performed not only sodium, but also cesium spectroscopy in our labs.

Therefore, we started to recalculate the cesium spectra from first principles. This was achieved by adapting our calculation of the susceptibilities from sodium to cesium.

 

The program now allows to calculate the susceptibilities of the cesium spectra of the D1 and the D2 line. We now release the program now for public use under the GNU Public License (GPL), version 2.0 or later.

 

Please find the program here: cesium_d1_d2.nb

 

Below are the optical spectra for 50°C and an optical path length of 100mm:
Cesium Spectrum - D1 line, susceptibilities
Cesium Spectrum - D1 line, optical rotation and Doppler spectrum
Cesium Spectrum - D1 line, Faraday transmission spectrum (often called "FADOF")
Cesium Spectrum - D2 line, susceptibilities
Cesium Spectrum - D2 line, optical rotation and Doppler spectrum
Cesium Spectrum - D2 line, Faraday transmission spectrum (often called "FADOF")

 

The above calculation takes quite some time (approx. 5 min on my notebook). Therefore, we calculated all susceptibilities for a range of -20 to 20 GHz of the line. The data can be found here:

  • cesium D1-Line

  • cesium D2-Line

The nomenclature is as follows: [d1|d2]_calc_[temp in Kelvin]["_small"|""].fits. I prohibit the directory listing of the files, since I do not want crawlers or robots to fetch the data (some GB!). A normal human visitor should know how to retrieve the files. Also the Mathematica notebook below can automatically fetch the relevant data, if the correct URL is changed from 'localhost' to 'gerhardt.ch'.

 

Everything was calculated in 2001 frequency steps (=20MHz per pixel, starting with -20GHz, last pixel is 20GHz). This is nice for lineplots etc.. The magnetic field is varied up to 100mT in steps of 0.2mT.

 

For multidimensional plots this is way too much. Therefore, a downsampled version with 285 frequency steps is available. This is called [d1|d2]_calc_[temp in Kelvin]_small.fits.

Still, this is quite some data. If you want, you can drop me a line and I will send you a free DVD with all these FITS files for no charge.

 

To calculate the final spectra from these FITS files, you can use our Mathematica file: cesium_fadof_spectra_01.nb

 

Here are the images, calculated with the above program:
Cesium Spectrum - D1 line, 50°C. The image shows the frequency dependent FADOF transmission (blue).
Cesium Spectrum - D1 line, 50°C. Here, the optical rotation is shown.
The hot cesium vapor with the magnetic field acts similar to a optical waveplate. This can be visualized with the Poincare sphere.
A magnetic field scan shows the different influences.
Cesium Spectrum - D1 line, 50°C. Here, the optical rotation is shown.
Poincare sphere. A magnetic field scan shows the dependent optical rotation.
This shows the optical transmission of the FADOF, the cross-FADOF and the Doppler absorption agains frequency and magnetic field. The approx. linear Zeeman split can be monitored.

 

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