The Takagi-Taupin equations are solved in their simplest form (zero deformation) to obtain the Bragg-diffracted and transmitted complex amplitudes. The case of plane-parallel crystal plates is discussed using a matrix model. The equations are implemented in an open-source Python library crystalpy adapted for numerical applications such as crystal reflectivity calculations and ray tracing.
Download full-text PDF |
Source |
---|---|
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11542662 | PMC |
http://dx.doi.org/10.1107/S160057752400924X | DOI Listing |
Acta Crystallogr A Found Adv
January 2025
Institute of Physics and Mathematics, Federal Research Center `Komi Scientific Center, the Ural Branch of the Russian Academy of Sciences', Kommunisticheskaya st. 24, Syktyvkar, 167982, Russian Federation.
J Synchrotron Radiat
November 2024
European Synchrotron Radiation Facility, 71 Avenue des Martyrs, F-38000 Grenoble, France.
The Takagi-Taupin equations are solved in their simplest form (zero deformation) to obtain the Bragg-diffracted and transmitted complex amplitudes. The case of plane-parallel crystal plates is discussed using a matrix model. The equations are implemented in an open-source Python library crystalpy adapted for numerical applications such as crystal reflectivity calculations and ray tracing.
View Article and Find Full Text PDFActa Crystallogr A Found Adv
November 2024
National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 621999, People's Republic of China.
Acta Crystallogr A Found Adv
July 2024
A.V. Shubnikov Institute of Crystallography, Federal Scientific Research Centre Crystallography and Photonics RAS, Leninskii prospekt, 59, Moscow, 119333, Russian Federation.
Fundamental equations describing the X-ray and electron diffraction scattering in imperfect crystals have been derived in the form of the matrix Fredholm-Volterra integral equation of the second kind. A theoretical approach has been developed using the perfect-crystal Green function formalism. In contrast, another approach utilizes the wavefield eigenfunctions related to the diagonalized matrix propagators of the conventional Takagi-Taupin and Howie-Whelan equations.
View Article and Find Full Text PDFA coupled mode theory based on Takagi-Taupin equations describing electromagnetic scattering from distorted periodic arrays is applied to the problem of light scattering from beetles. We extend the method to include perturbations in the permittivity tensor to helicoidal arrays seen in many species of scarab beetle and optically anisotropic layered materials more generally. This extension permits analysis of typical dislocations arising from the biological assembly process and the presence of other structures in the elytra.
View Article and Find Full Text PDFEnter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!