Three-beam diffraction in an elastically strained crystal plate

Based on the Takagi-Taupin equations, an analytical expression for the three-beam diffraction profile function in an elastically strained crystal plate is derived. The strain parameters appear in the shape functions governing both triplet-phase dependent and independent terms in the solution. Simulations show that three-beam profiles are significantly influenced. With increasing strain any phase information in the profiles is obscured and subsequently lost.