The theory behind ATHLETICS is presented in 3 papers. The first runs thorugh the theory for uniformally magnetised nanoparticles, and the second and thrid specialise more in the application of the equations from the first paper to the outputs from micromagnetic simulations which mimic experimental results.
Belaggia M and Zhu Y (2003), Electron-optical phase shift of magentic nanoparticles I. Basic concepts, Philisophical Magazine, 83, 8, 1045-1057, doi:10.1080/0141861031000066166
Kasama T, Harrison RJ, Church NS, Nagao M, Feinberg JM and Dunin-Borkowski RE (2012), Ferrimagnetic/ferroelastic domain interactions in magnetite below the Verwey transition. Part I: electron holography and Lorentz microscopy, Phase Transitions, 86, 1, 67-87
Bryson JFJ, Kasama T, Dunin-Borkowski RE and Harrison RJ (2013) Ferrimagnetic/ferroelastic domain interactions in magnetite below the Verwey transition: Part II. Micromagnetic and image simulations, Phase Transitions, 86, 1, 88-102
If you have trouble accessing the papers, then please email the authors (James Bryson, Richard Harrison).