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应用于多层短波散射强度严格分析的多尺度浮雕非线性连续体生长模型。I. 光栅

Nonlinear continuum growth model of multiscale reliefs as applied to rigorous analysis of multilayer short-wave scattering intensity. I. Gratings.

作者信息

Goray Leonid, Lubov Maxim

机构信息

Academic University , St Petersburg, 194021, Russian Federation ; Institute for Analytical Instrumentation RAS , St Petersburg, 194021, Russian Federation.

出版信息

J Appl Crystallogr. 2013 Aug 1;46(Pt 4):926-932. doi: 10.1107/S0021889813012387. Epub 2013 Jun 7.

DOI:10.1107/S0021889813012387
PMID:24046500
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3769063/
Abstract

It is shown that taking into proper account certain terms in the nonlinear continuum equation of thin-film growth makes it applicable to the simulation of the surface of multilayer gratings with large boundary profile heights and/or gradient jumps. The proposed model describes smoothing and displacement of Mo/Si and Al/Zr boundaries of gratings grown on Si substrates with a blazed groove profile by magnetron sputtering and ion-beam deposition. Computer simulation of the growth of multilayer Mo/Si and Al/Zr gratings has been conducted. Absolute diffraction efficiencies of Mo/Si and Al/Zr gratings in the extreme UV range have been found within the framework of boundary integral equations applied to the calculated boundary profiles. It has been demonstrated that the integrated approach to the calculation of boundary profiles and of the intensity of short-wave scattering by multilayer gratings developed here opens up a way to perform studies comparable in accuracy to measurements with synchrotron radiation, at least for known materials and growth techniques.

摘要

结果表明,在薄膜生长的非线性连续介质方程中适当考虑某些项,可使其适用于模拟具有大边界轮廓高度和/或梯度跃变的多层光栅表面。所提出的模型描述了通过磁控溅射和离子束沉积在具有闪耀槽轮廓的硅衬底上生长的光栅的Mo/Si和Al/Zr边界的平滑和位移。已对多层Mo/Si和Al/Zr光栅的生长进行了计算机模拟。在应用于计算边界轮廓的边界积分方程框架内,已求出Mo/Si和Al/Zr光栅在极紫外范围内的绝对衍射效率。已经证明,这里开发的用于计算多层光栅边界轮廓和短波散射强度的综合方法,至少对于已知材料和生长技术而言,为开展精度与同步辐射测量相当的研究开辟了一条途径。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/09b1/3769063/bdf5980db7de/j-46-00926-fig4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/09b1/3769063/f164f6ffe181/j-46-00926-fig1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/09b1/3769063/1a305df45c22/j-46-00926-fig2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/09b1/3769063/67453b98e702/j-46-00926-fig3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/09b1/3769063/bdf5980db7de/j-46-00926-fig4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/09b1/3769063/f164f6ffe181/j-46-00926-fig1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/09b1/3769063/1a305df45c22/j-46-00926-fig2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/09b1/3769063/67453b98e702/j-46-00926-fig3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/09b1/3769063/bdf5980db7de/j-46-00926-fig4.jpg

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本文引用的文献

1
Ultra-high efficiency multilayer blazed gratings through deposition kinetic control.通过沉积动力学控制实现超高效率多层闪耀光栅。
Opt Lett. 2012 May 15;37(10):1628-30. doi: 10.1364/OL.37.001628.
2
Analysis of two-dimensional photonic band gaps of any rod shape and conductivity using a conical-integral-equation method.使用锥形积分方程法分析任意棒状和电导率的二维光子带隙。
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Mar;85(3 Pt 2):036701. doi: 10.1103/PhysRevE.85.036701. Epub 2012 Mar 5.
3
A 10,000 groove/mm multilayer coated grating for EUV spectroscopy.
用于极紫外光谱学的每毫米10000条刻槽的多层镀膜光栅。
Opt Express. 2011 Mar 28;19(7):6320-5. doi: 10.1364/OE.19.006320.
4
Solving conical diffraction grating problems with integral equations.用积分方程求解圆锥衍射光栅问题。
J Opt Soc Am A Opt Image Sci Vis. 2010 Mar 1;27(3):585-97. doi: 10.1364/JOSAA.27.000585.
5
Efficiencies of master, replica, and multilayer gratings for the soft-x-ray-extreme-ultraviolet range: modeling based on the modified integral method and comparisons with measurements.软X射线-极紫外波段主光栅、复制光栅和多层光栅的效率:基于改进积分法的建模及与测量结果的比较
Appl Opt. 2002 Mar 1;41(7):1434-45. doi: 10.1364/ao.41.001434.