Synchrotron radiation curve-edge focus lens design method by combining gravity bending coordinating and maximum application range

Abstract

The invention provides a method for obtaining gravity-assisting bending combined maximum application range of a synchrotron radiation curve-edge vertical focus lens, including: establishing a gravity-containing bending deflection differential equation by taking the center of a lens body as an origin and an axis along the length of a lens surface as an x axis according to the beam bending theory of material mechanics; establishing a gravity-assisting bending equation by enabling a bending surface to be an oval shape; when a focusing condition is calculated to deviate a calculation value, adjusting a focus lens bending moment deviation value to adapt to the variation of the focusing condition; establishing the maximum application range design equation by enabling residual surface shape slope error after the bending moment is adjusted to increase at the lowest speed along with the focusing condition; solving the bending mechanics and lens body geometric parameter kMfd and W(x) functions by combining the gravity-assisting bending equation and the maximum application range equation; and determining the focus lens parameter according to the calculation result and bending the focus lens. By the method, self-gravity surface shape error can be eliminated and the application range of the focusing condition is maximized.

Description

technical field [0001] The invention relates to a method for eliminating the self-gravity surface shape error and realizing the maximum application range of a synchrotron radiation curved-edge vertical focusing mirror combined with gravity co-bending and belongs to the technical fields of synchrotron radiation beamline engineering and synchrotron radiation optics. Background technique [0002] One of the advantages of synchrotron radiation is its high brightness. Brightness generally refers to the photon number density in the phase space. The high photon flux of synchrotron radiation and the small volume of the phase space create the characteristics of high brightness. According to Liu Wei's theorem, the brightness cannot be increased without sacrificing the photon flux. When the line width of a beam is compressed, its angular width increases; conversely, when the angular width is compressed so that the beam becomes more collimated, its line width increases. However, diffe...

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Problems solved by technology

[0029] The purpose of the present invention is to provide a method for obtaining the maximum applicable range of gravity co-bending of synchrotron radiation curvilinear vertical focusing mirror, so as to solve the problem that the gravity surface shape error is not well eliminated in the prior art, and the pressure is too low near the design focusing condition. The error of the remaining surface shape after the bending adjustment is very large, and there is no problem of maximizing the application range of the curved edge mirror

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