title: Third-order nonlinear and linear time-dependent dynamical diffraction of X-rays in crystals.
abstract: For the first time the third-order nonlinear time-dependent Takagi's equations of X-rays in crystals are obtained and investigated. The third-order nonlinear and linear time-dependent dynamical diffraction of X-rays spatially restricted in the diffraction plane pulses in crystals is investigated theoretically. A method of solving the linear and the third-order nonlinear time-dependent Takagi's equations is proposed. Based on this method, results of analytical and numerical calculations for both linear and nonlinear diffraction cases are presented and compared.
authors.affiliation: Faculty of Physics, Department of Solid State Physics, Yerevan State University, Alex Manoogian 1, Yerevan 0025, Armenia.
authors.forename: Minas K
authors.initials: MK
authors.lastname: Balyan
keywords: X-ray pulse; dynamical diffraction; third-order nonlinearity; time-dependent propagation equations