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    • 33. 发明申请
    • Caching of intra-layer calculations for rapid rigorous coupled-wave analyses
    • 快速严格耦合波分析的层内计算缓存
    • US20050068545A1
    • 2005-03-31
    • US10964353
    • 2004-10-12
    • Xinhui NiuNickhil Jakatdar
    • Xinhui NiuNickhil Jakatdar
    • G02B5/18G01B11/06G01B11/14G01B11/24
    • G02B5/18G01B11/0675G01B11/14G01B11/2441
    • The diffraction of electromagnetic radiation from periodic grating profiles is determined using rigorous coupled-wave analysis, with intermediate calculations cached to reduce computation time. To implement the calculation, the periodic grating is divided into layers, cross-sections of the ridges of the grating are discretized into rectangular sections, and the permittivity, electric fields and magnetic fields are written as harmonic expansions along the direction of periodicity of the grating. Application of Maxwell's equations to each intermediate layer, i.e., each layer except the atmospheric layer and the substrate layer, provides a matrix wave equation with a wave-vector matrix A coupling the harmonic amplitudes of the electric field to their partial second derivatives in the direction perpendicular to the plane of the grating, where the wave-vector matrix A is a function of intra-layer parameters and incident-radiation parameters. W is the eigenvector matrix obtained from wave-vector matrix A, and Q is a diagonal matrix of square roots of the eigenvalues of the wave-vector matrix A. The requirement of continuity of the fields at boundaries between layers provides a matrix equation in terms of Wand Q for each layer boundary, and the solution of the series of matrix equations provides the diffraction reflectivity. Look-up of W and Q, which are precalculated and cached for a useful range of intra-layer parameters (i.e., permittivity harmonics, periodicity lengths, ridge widths, ridge offsets) and incident-radiation parameters (i.e., wavelengths and angles of incidence), provides a substantial reduction in computation time for calculating the diffraction reflectivity.
    • 使用严格的耦合波分析确定来自周期性光栅轮廓的电磁辐射的衍射,缓冲中间计算以减少计算时间。 为了实现该计算,将周期光栅分成多个层,将光栅的脊的横截面离散成矩形截面,并将介电常数,电场和磁场沿着光栅的周期方向写为谐波扩展 。 将麦克斯韦方程应用于每个中间层,即除了大气层和基底层之外的每一层,提供了一个矩阵波方程,其中波矢矩阵A将电场的谐波幅度与其部分二次导数方向耦合 垂直于光栅的平面,其中波矢量矩阵A是层内参数和入射辐射参数的函数。 W是从波矢矩阵A获得的特征向量矩阵,Q是波矢矩阵A的特征值的平方根的对角矩阵。层间边界处的场的连续性要求提供了矩阵方程 的每个层边界的Wand Q,并且该系列矩阵方程的解提供了衍射反射率。 W和Q的查找是预先计算和缓存的,用于有用范围的内层参数(即介电常数谐波,周期长度,脊宽度,脊偏移)和入射辐射参数(即波长和入射角) ),大大减少了计算衍射反射率的计算时间。
    • 34. 发明授权
    • Grating test patterns and methods for overlay metrology
    • 光栅测试图案和覆盖计量方法
    • US06699624B2
    • 2004-03-02
    • US09794686
    • 2001-02-27
    • Xinhui NiuNickhil Jakatdar
    • Xinhui NiuNickhil Jakatdar
    • G03F900
    • G03F7/70633G02B5/1819G02B27/4255
    • A metrology for determining bias or overlay error in lithographic processes. This metrology includes a set of diffraction test patterns, optical inspection techniques by using spectroscopic ellipsometer or reflectometer and a method of test pattern profile extraction. The invention uses a set of diffraction gratings as the test patterns, and thin film metrology equipment, such as spectroscopic ellipsometer or spectroscopic reflectometer. The profiles of the test patterns in the two successive layers are analyzed. Overlay information is obtained after processing the profile data. In a first aspect of the invention, a line-on-line overlay grating test patterns structure is disclosed in which a second layer mask is placed in the center of a clear line in a first layer mask. In a second aspect of the invention, a line-in-line overlay grating test patterns structure is disclosed in which a second layer mask is placed in the center of a dark line in the first mask.
    • 用于确定平版印刷过程中偏差或重叠误差的计量。 该测量包括一组衍射测试图案,使用光谱椭偏仪或反射计的光学检测技术以及测试图案剖面提取的方法。 本发明使用一组衍射光栅作为测试图案,以及薄膜计量设备,如光谱椭偏仪或光谱反射计。 分析两个连续层中的测试图案的轮廓。 处理简档数据后获得叠加信息。 在本发明的第一方面中,公开了一种在线覆盖光栅测试图案结构,其中第二层掩模被放置在第一层掩模中的清晰线的中心。 在本发明的第二方面中,公开了一种在线叠加光栅测试图案结构,其中第二层掩模被放置在第一掩模中暗线的中心。