LIU Bin, WANG Qiu-ping, XU Xiang-dong, et al. Analysis of groove density for diffraction grating during bending[J]. Optics and precision engineering, 2006, 14(2): 224-228.
LIU Bin, WANG Qiu-ping, XU Xiang-dong, et al. Analysis of groove density for diffraction grating during bending[J]. Optics and precision engineering, 2006, 14(2): 224-228.DOI:
In order to derive the effect of an arbitrary bending curve in tangential orientation on a grating
a general expression about the transform of groove density was represented in theory
and simulated by Finite Element Method(FEM) using ABAQUS/Standard. The results show that the groove density was severely determined by the attribute of diffractive grating and bending curve. Sequentially
the imaging properties of grating monochromator due to bending were numerically pointed out with a simple example. As a result of shape change and groove density variation
it not only improves the focusing condition
but also affectes higher order aberrations such as coma aberration of the imaging system.
. WARWICK T,HOWELLS M. A variable radius mirror for imaging the exit slit of a spherical grating monochromator undulator beamline at the ALS .Rev. Sci. Instrum. 1995, 66 (2): 2270-2272.
. PALMER C,MCKINNEY W R. Imaging properties of varied line-space (VLS) gratings with adjustable curvature[J].SPIE, 1998, 3450: 87-102.
. CHEN S J,CHEN C T. Design and fabrication of an active polynomial grating for soft-X-ray monochromators and spectrometers[J]. Nucl. Instrum. Methods in Physics Research A, 2001, 467-468: 298-301.
. LIU B,HU ZH W,WANG Q P,et al. Generalized groove density equation concerning bending grating related imaging properties[J]. J. Opt. Soc. Am. A.,2006,23(5):1135-1140.
. FERME J J,DAHAN G. Bendable mirrors[J].SPIE, 1998, 3447: 72-80.
. 曲艳峰,吕丽军. 同步辐射仪器中柔性铰链压弯机的研究[J]. 光学 精密工程, 2002, 10(2): 220-225. QU Y F, LV L J, Research on the flexural hinge-based bender in a synchrotron radiation instrument[J].Optics and Precision Engineering, 2002,10(2):220-225.(in Chinese)
. 柳晖,高雪官. 同步辐射单色器冷却压弯机构[J]. 光学 精密工程, 2004, 12(6): 608-613. LIU H, GAO X G, Monochromator cooling bender in synchrotron radiation[J]. Optics and Precision Engineering, 2004, 12(6): 608-613. (in Chinese)
. MALCOM R,CAMBIE H D,DUARTE R M. Theory and practice of elliptically bent X-ray mirros[J]. Opt. Eng., 2000, 39(10): 2748-2762.