Analytical derivation of higher-order terms of Molière’s series and accuracy of Molière’s angular distribution of fast charged particles

Autor:	Naoya Takahashi, T. Nakatsuka, K. Okei
Rok vydání:	2013
Předmět:	Physics Nuclear and High Energy Physics Angular distribution Classical mechanics Series (mathematics) Mathematical analysis Order (ring theory) Poisson series Scattering process Series expansion Instrumentation Cauchy's integral formula Charged particle
Zdroj:	Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms. 311:60-70
ISSN:	0168-583X
Popis:	Moliere’s series functions of higher orders describing angular distributions of charged particle under the multiple scattering process are solved by exactly evaluating Cauchy integral with poles within the contour of integration. The functions of Moliere’s series giving higher-order terms are evaluated accurately by Poisson series expansion, both for spatial and projected angular distributions. Moliere’s series for the integrated angular distributions are also derived. Accuracy of the Moliere’s series expansion of higher orders is examined by comparing the reconstructed angular distributions with those derived exactly through the numerical Hankel transforms.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::89380fb9b5bdd03ede573f8e80ae3e78 https://doi.org/10.1016/j.nimb.2013.06.008 Zobrazit plný text záznamu Full Text from ScienceDirect