{"title":"高木-陶平方程的完美晶体衍射公式： crystalpy 库中的数值实现。","authors":"Jean Pierre Guigay, Manuel Sanchez Del Rio","doi":"10.1107/S160057752400924X","DOIUrl":null,"url":null,"abstract":"<p><p>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.</p>","PeriodicalId":48729,"journal":{"name":"Journal of Synchrotron Radiation","volume":" ","pages":"1469-1480"},"PeriodicalIF":2.5000,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11542662/pdf/","citationCount":"0","resultStr":"{\"title\":\"Formulation of perfect-crystal diffraction from Takagi-Taupin equations: numerical implementation in the crystalpy library.\",\"authors\":\"Jean Pierre Guigay, Manuel Sanchez Del Rio\",\"doi\":\"10.1107/S160057752400924X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>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.</p>\",\"PeriodicalId\":48729,\"journal\":{\"name\":\"Journal of Synchrotron Radiation\",\"volume\":\" \",\"pages\":\"1469-1480\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2024-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11542662/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Synchrotron Radiation\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1107/S160057752400924X\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2024/10/29 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Synchrotron Radiation","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1107/S160057752400924X","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2024/10/29 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
Formulation of perfect-crystal diffraction from Takagi-Taupin equations: numerical implementation in the crystalpy library.
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.
期刊介绍：
Synchrotron radiation research is rapidly expanding with many new sources of radiation being created globally. Synchrotron radiation plays a leading role in pure science and in emerging technologies. The Journal of Synchrotron Radiation provides comprehensive coverage of the entire field of synchrotron radiation and free-electron laser research including instrumentation, theory, computing and scientific applications in areas such as biology, nanoscience and materials science. Rapid publication ensures an up-to-date information resource for scientists and engineers in the field.
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