Ilja Gerhardt

Software - Sodium Data


We performed quite some sodium spectroscopy in our labs. Please see some fancy pictures of our sodium FADOF here:

The sodium transitions.
The D1 hyperfine sodium transitions.
The D2 hyperfine sodium transitions.
120m of copper tubing, which was capton isolated by Wilhelm Kiefer...
The leak test of the coil.
Testing the magnetic field. When the current is increased above 235A, the water starts boiling after some time. The maximum field was about 400mT.
Initial testing as a Faraday filter.
The sodium filter as it is used right now, filtering some single photons into single mode fibers
Some little sketch how the system looks right now (now this is completely changed...)

Therefore, we started to recalculate the sodium spectra from first principles. This was achieved by adapting a program from Joanna Zielinska and Morgan Mitchell from rubidium to sodium.

 

The program now allows to calculate the susceptibilities of the sodium spectra of the D1 and the D2 line. With the support of Morgan Mitchel and Joanna Zielinska, we release the program now for public use under the GNU Public License (GPL), version 2.0 or later.

 

Please find the program here: sodium_d1_d2.nb

 

Below are the optical spectra for 153°C and an optical path length of 100mm:
Sodium Spectrum - D1 line, susceptibilities
Sodium Spectrum - D1 line, optical rotation and Doppler spectrum
Sodium Spectrum - D1 line, Faraday transmission spectrum (often called "FADOF")
Sodium Spectrum - D2 line, susceptibilities
Sodium Spectrum - D2 line, optical rotation and Doppler spectrum
Sodium Spectrum - D2 line, Faraday transmission spectrum (often called "FADOF")

 

The above calculation takes quite some time (approx. 1 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:

  • sodium D1-Line

  • sodium 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 400mT.

 

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: sodium_fadof_spectra_01.nb

 

Here are the images, calculated with the above program:
Sodium Spectrum - D1 line, 180°C. The image shows the frequency dependent FADOF transmission (blue).
Sodium Spectrum - D1 line, 180°C. Here, the optical rotation is shown.
The hot sodium 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.
Sodium Spectrum - D1 line, 180°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.

  • Videos of the Sodium FADOF for different temperatures and magnetic fields


    Sodium D1 line Sodium D2 line

     

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