Characteristic solutions of Takagi equations in two-ray dynamic diffraction

The earlier introduced representation of characteristic solutions of the Takagi equations in the two-ray dynamic diffraction is further developed by the authors. It is shown that this approach is physically adequate to the concept of a dynamically self-consistent system of fields in a crystal. Within the framework of this approach, equations are derived for characteristic solutions in a perfect and in a one-dimensionally distorted crystal. It is demonstrated that the system of Takagi equations involving a local accommodation function is singled out in the consideration of diffraction by one-dimensionally distorted crystals. Based on the notion of characteristic solutions of the Takagi equations, a model of a crystal with random one-dimensional distortion field is considered and the statistical averaging of the equations for characteristic solutions is carried out.