Analysis of the influence of fabrication errors on the efficiency of X-ray zone plates by summing up the wavelets
|更新时间:2020-08-12
|
Analysis of the influence of fabrication errors on the efficiency of X-ray zone plates by summing up the wavelets
Optics and Precision EngineeringVol. 13, Issue 6, Pages: 643-649(2005)
作者机构:
中国科学技术大学 国家同步辐射实验室,安徽 合肥,230026
作者简介:
基金信息:
DOI:
CLC:O436.1
Received:01 August 2005,
Revised:02 September 2005,
Published Online:30 December 2005,
Published:30 December 2005
稿件说明:
移动端阅览
XIAO Kai, LIU Ying, FU Shao-jun. Analysis of the influence of fabrication errors on the efficiency of X-ray zone plates by summing up the wavelets[J]. Optics and precision engineering, 2005, 13(6): 643-649.
DOI:
XIAO Kai, LIU Ying, FU Shao-jun. Analysis of the influence of fabrication errors on the efficiency of X-ray zone plates by summing up the wavelets[J]. Optics and precision engineering, 2005, 13(6): 643-649.DOI:
Analysis of the influence of fabrication errors on the efficiency of X-ray zone plates by summing up the wavelets
interdiffusion and roughness on the efficiency of X-ray zone plates (ZP) was analyzed by summing up the wavelets of every pair of rings. Strehl ratio was used to quantify and evaluate the performance of the zone plates deviating from perfect ones. The tolerances of the 4 errors mentioned above were gained by using Strehl limit in two examples. The influence of random zone position and width error on the efficiencies of a Ni soft X-ray zone plate was calculated
and the influence of interdiffusion and roughness on the efficiencies of a SiO
2
/Ni hard X-ray sputtered sliced zone plate was analyzed. It is showed that the efficiency of the main focus decrease with increasing the four errors. The root-mean-square of random zone position and width error of the first zone plate need to be less than about 20% of the outmost zone width to generate a Strehl ratio higher than Strehl limit; the width of random interdiffusion region and the root-mean-square roughness of the second zone plate need to be less than about 90% and 60% of the outmost zone width to generate a Strehl ratio higher than Strehl limit respectively.
关键词
Keywords
references
. SCHNEIDER G. X-ray microscopes: methods and perspectives[J]. Analytical and Bioanalytical Chemistry, 2003,376:558-561.
. 乐孜纯,王占山,马月英. X射线成像光学的新进展:Bragg-Fresnel多层膜元件[J]. 光学 精密工程,1996,4(2):1-6. LE Z C, WANG Z S, MA Y Y. A new opportunity at X-Ray optics: Bragg-Fresnel multilayer elements[J]. Optics and Precision Engineering, 1996, 4(2):1-6. (in Chinese)
. SCHMAHL G, RUDOLPH D, SCHNEIDER G, et al. Diffractive optics for X-ray imaging[J]. Microelectronic Engineering, 1996,32: 351-367.
. KIRZ J. Phase zone plate for X-rays and the extreme UV[J]. Journal of the Optical Society of America A, 1974,64:301-309.
. KEIGO I. 工程光学[M]. 重庆:西南师范大学出版社,1991:83-85. KEIGO I. Engineering optics[M]. Chongqing: The Press of Southwest China Normal University. 1991:83-85. (in Chinese)
. CAO Q, JAHNS J. Comprehensive focusing analysis of various Fresnel zone plates[J]. Journal of the Optical Society of America A, 2004,21(4):561-571.
. SIMPSON M J, MICHETTE A G. The effects of manufacturing inaccuracies on the imaging properties of Fresnel zone plates[J]. Optica Acta, 1983,30:1455-1462.
. SCHNEIDER G. Influence of roughness and interdiffusion in zone plate structures on the diffraction efficiency described by coupled wave theory[J]. Applied Physics Letters, 1998,73:599-601.
. SHENG Y L, FENG D, LAROCHELLE S. Analysis and synthesis of circular diffractive lens with local linear grating model and rigorous coupled-wave theory[J]. Journal of the Optical Society of America A, 1997,14:1562-1568.
. MASER J, SCHMAHL G. Coupled wave description of the diffraction by zone plates with high aspect ratios[J]. Optics Communications, 1992,89:355-362.
. MIROTZNIK M S, PRATHER D W, MAIT J N, et al. Three-dimensional analysis of subwavelength diffractive optical elements with the finite-difference time-domain method[J]. Applied Optics, 2000,39 (17):2871-2880.
. WELFORD W T. Aberrations of the symmetrical optical system[M]. New York: Academic Press, 1974.