A highaccuracy method of computation of xray waves propagation through an optical system consisting of many lenses
Abstract
The propagation of Xray waves through an optical system consisting of many Xray refractive lenses is considered. Two differential equations are contemplated for solving the problem for electromagnetic wave propagation: first – an equation for the electric field, second – an equation derived for a complex phase of an electric field. Both equations are solved by the use of a finitedifference method. The simulation error is estimated mathematically and investigated. The presented results for equations show that in order to establish a high accuracy computation a much smaller number of points is needed to solve the problem of Xray waves propagation through a multilens system when the method for the second equation is used. The reason for such a result is that the electric field of a wave after passing through many lenses is a quickly oscillating function of coordinates, while the electric field phase is a quickly increasing, but not oscillating function. Therefore, a very detailed difference grid, which is necessary to approximate the considered electric field can be replaced by not such a detailed grid, when computations are made for the complex wave of the electric field. The simulation error of both suggested methods is estimated. It is shown that the derived equation for a phase function allows effiient simulation of propagation of Xrays for the multilens optical system.
Authors
Details
 Category:
 Articles
 Type:
 artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
 Published in:

TASK Quarterly
no. 20,
pages 171  186,
ISSN: 14286394  Language:
 English
 Publication year:
 2016
 Bibliographic description:
 Kshevetskii S., Wojda P.: A highaccuracy method of computation of xray waves propagation through an optical system consisting of many lenses// TASK Quarterly. Vol. 20., nr. 2 (2016), s.171186
 Verified by:
 Gdańsk University of Technology
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