Abeles matrix formalism

The Abeles matrix method is a computationally fast and easy way to calculate the specular reflectivity from a stratified interface, as a function of the perpendicular momentum transfer, Qz:

\( Q_{z}={\frac {4\pi }{\lambda }}\sin \theta =2k_{z} \)

where θ is the angle of incidence/reflection of the incident radiation and λ is the wavelength of the radiation.

O. S. Heavens. Optical Properties of Thin Films. Butterworth, London (1955).
Névot, L.; Croce, P. (1980). "Caractérisation des surfaces par réflexion rasante de rayons X. Application à l'étude du polissage de quelques verres silicates" (PDF). Revue de Physique Appliquée (in French). EDP Sciences. 15 (3): 761–779. doi:10.1051/rphysap:01980001503076100. ISSN 0035-1687. S2CID 128834171.
Abelès, Florin (1950). "La théorie générale des couches minces" [The generalized theory of thin films]. Journal de Physique et le Radium (in French). EDP Sciences. 11 (7): 307–309. doi:10.1051/jphysrad:01950001107030700. ISSN 0368-3842.

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