His 1903 doctoral dissertation, portions of which were published in German in the Proceedings of the Royal Academy of Sciences in Amsterdam under the sponsorship of Heike Kamerlingh Onnes,[1] is considered to be a pivotal contribution to multiple scattering theory (MST) by such experts as Paul Peter Ewald and Jan Korringa.
[2] The MST formalism is widely used for electronic structure calculations as well as diffraction theory, and is the subject of many books.
Kasterin studied at the Physical-Mathematical Faculty of Moscow University under the supervision of Aleksandr Stoletov.
In 1899, Kasterin returned to Moscow University where he became an assistant professor and taught theoretical physics.
In 1905, Kasterin defended his doctoral dissertation "On the propagation of waves in non-uniform medium".