title: The generalized pendulum analogy of the X-ray dynamical diffraction by one-dimensional regularly deformed crystals.
abstract: The pendulum analogy has been generalized in a form suitable for the case of an off-Bragg position. It is shown that, by introducing a time variation of the pendula masses, this analogy can be supplied to simulate the X-ray dynamical diffraction by a one-dimensional regularly deformed crystal. The correspondence between the adiabatic invariants of the new mechanical system and the invariants of the Eikonal approximation of the X-ray dynamical theory is established
authors.affiliation: Institute for Metal Physics, National Academy of Sciences of the Ukraine, 36 Vernadsky Street, 03680 Kiev-142, Ukraine. mish@imp.kiev.ua
authors.forename: M B
authors.initials: MB
authors.lastname: Shevchenko
authors.forename: O V
authors.initials: OV
authors.lastname: PobyDaylo