The first book and season are quite slow due to the character development. The first 3 seasons followed a very formulaic development meant for network television. It was canceled after season 3, and is the only show I know of that was saved and rebooted by Amazon. Seasons 4-6 received a higher...
I would recommend watching the show first. Then absolutely read the books. In my case, it helped to visualize the characters because they casted them so well. The series was on network television for the first few seasons, so it drags on sometimes using the old TV formulas, but never has a...
Here is the link to the original cesium fountain.
https://www.nist.gov/pml/time-and-frequency-division/time-realization/primary-standard-nist-f1
Here is the new time standard...
Metrologist here. You have the right idea. There is an animated video of the current cesium fountain on the NIST website if it helps with understanding the theory.
Cheers
I'm sorry these posts haven't been very helpful, and instead beat around the bush by asking details about your studies instead of answering your question. The only option I know of is what berkeman said, which was COMSOL. I don't think there's any free software of such quality.