V.K. Ignatovich Frank Neutron Physics Laboratory, Joint Institute of Nuclear Research, Dubna, Moscow Region, Russian Federation
All the formulas pertinent to dynamic diffraction in either the Bragg geometry or the Laue geometry are derived for an arbitrary one-dimensional periodic potential for which the reflection amplitude $(r)$ and the transmission amplitude $(t)$ for a single period are known. These formulas are derived by strictly algebraic methods. The diffraction of neutrons by monatomic and diatomic ideal single crystals is analyzed as an example. A general relation between the phases of the reflection and transmission amplitudes is proved by a gedanken experiment for an arbitrary nonabsorbing potential barrier.
PACS:61.10.Nz DOI:10.1070/PU1986v029n09ABEH003502 URL: https://ufn.ru/en/articles/1986/9/d/ Citation: Ignatovich V K "Étude on the one-dimensional periodic potential" Sov. Phys. Usp.29 880–887 (1986)