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    • 3. 发明授权
    • Determining the gradient and hessian of the image log slope for design rule optimization for accelerating source mask optimization (SMO)
    • 确定用于加速源掩码优化(SMO)的设计规则优化的图像对数斜率的梯度和粗糙度
    • US08356261B1
    • 2013-01-15
    • US12830258
    • 2010-07-02
    • Robert John Socha
    • Robert John Socha
    • G06F17/50
    • G03F7/705G03F1/70
    • The Hessian (second derivative) of the image log slope (ILS) can be quickly and accurately calculated without the need to use approximate methods from the gradient of the ILS with respect to mask transmission and source intensity. The Hessian has been traditionally calculated using a finite-difference approach. Calculating the Hessian through a finite-difference approach is slow and is an approximate method. The gradient of the ILS improves the speed of calculation of the Hessian, and thus accelerated SMO operation is realized. The results of ILS evaluation can be used in design for manufacturing (DFM) to suggest changes in the design rules to improve imaging. For a fixed illumination, this information can help remove forbidden pitches and help select design rules for 1-D and 2-D patterns on a mask design layout.
    • 图像对数斜率(ILS)的Hessian(二阶导数)可以快速准确地计算,而无需使用相对于掩模传输和源强度的ILS梯度的近似方法。 传统上使用有限差分法计算黑森州。 通过有限差分方法计算Hessian是一个很简单的方法。 ILS的梯度提高了Hessian的计算速度,从而实现了加速的SMO操作。 ILS评估的结果可用于制造设计(DFM),以建议设计规则的改变以改​​善成像。 对于固定照明,该信息可以帮助删除禁止的间距,并帮助在面罩设计布局上选择1-D和2-D图案的设计规则。
    • 5. 发明授权
    • Method, program product, and apparatus for performing a model based coloring process for pattern decomposition for use in a multiple exposure process
    • 用于执行用于多次曝光处理的图案分解的基于模型的着色处理的方法,程序产品和装置
    • US08224061B2
    • 2012-07-17
    • US12614208
    • 2009-11-06
    • Robert John Socha
    • Robert John Socha
    • G06K9/00
    • G03F7/70466G03F7/705
    • A method of decomposing a target pattern containing features to be imaged onto a substrate into a plurality of exposure patterns for use in a multi-exposure process. The method includes dividing the target pattern into fragments; associating the fragments with an exposure pattern; associating the fragments with image log slope (ILS) evaluation points; and maximizing ILS values. Maximizing the ILS values further includes calculating ILS values at the ILS evaluation points; determining a minimum ILS value; calculating changes in the ILS values as a result of associating fragments with a different exposure pattern; determining a maximum change of the ILS values; and associating fragments associated with the maximum change with a different exposure pattern.
    • 一种将包含待成像特征的目标图案分解成多曝光图案以用于多曝光过程的方法。 该方法包括将目标图案划分成片段; 将片段与曝光图案相关联; 将片段与图像对数斜率(ILS)评估点相关联; 并最大化ILS值。 最大化ILS值还包括在ILS评估点计算ILS值; 确定最小ILS值; 计算ILS值的变化,作为将片段与不同曝光模式相关联的结果; 确定ILS值的最大变化; 以及将与最大变化相关联的片段与不同的曝光模式相关联。
    • 7. 发明授权
    • Method, program product and apparatus for model based geometry decomposition for use in a multiple exposure process
    • 用于多重曝光过程中用于基于模型的几何分解的方法,程序产品和装置
    • US07493589B2
    • 2009-02-17
    • US11496742
    • 2006-08-01
    • Robert John Socha
    • Robert John Socha
    • G06F17/50G03F1/00
    • G03F7/70466G03F1/36G03F1/70G03F7/70433G03F7/705
    • A method of decomposing a target pattern having features to be imaged on a substrate so as to allow said features to be imaged in a multi-exposure process. The method includes the steps of: (a) segmenting a plurality of the features into a plurality of polygons; (b) determining the image log slope (ILS) value for each of the plurality of polygons; (c) determining the polygon having the minimum ILS value, and defining a mask containing the polygon; (d) convolving the mask defined in step (c) with an eigen function of a transmission cross coefficient so as to generate an interference map, where the transmission cross coefficient defines the illumination system to be utilized to image the target pattern; and (e) assigning a phase to the polygon based on the value of the interference map at a location corresponding to the polygon, where the phase defines which exposure in said multi-exposure process the polygon is assigned.
    • 一种分解具有要在基底上成像的特征的目标图案的方法,以便允许所述特征在多曝光过程中成像。 该方法包括以下步骤:(a)将多个特征分割为多个多边形; (b)确定所述多个多边形中的每一个的图像对数斜率(ILS)值; (c)确定具有最小ILS值的多边形,并且定义包含多边形的掩模; (d)将步骤(c)中定义的掩模与传输交叉系数的本征函数进行卷积,以产生干涉图,其中传输交叉系数定义要用于对目标图案成像的照明系统; 以及(e)基于在与所述多边形相对应的位置处的所述干涉图的值将相位分配给所述多边形,其中所述相位定义在所述多曝光处理中分配多边形的曝光。
    • 10. 发明授权
    • Method, program product and apparatus for model based geometry decomposition for use in a multiple exposure process
    • 用于多重曝光过程中用于基于模型的几何分解的方法,程序产品和装置
    • US08640058B2
    • 2014-01-28
    • US13244127
    • 2011-09-23
    • Robert John Socha
    • Robert John Socha
    • G06F17/50G03F1/00
    • G03F7/70466G03F1/36G03F1/70G03F7/70433G03F7/705
    • A method of decomposing a target pattern having features to be imaged on a substrate so as to allow said features to be imaged in a multi-exposure process. The method includes the steps of: segmenting a plurality of the features into a plurality of polygons; determining the image log slope (ILS) value for each of the plurality of polygons; determining the polygon having the minimum ILS value, and defining a mask containing the polygon; convolving the defined mask with an eigen function of a transmission cross coefficient so as to generate an interference map, where the transmission cross coefficient defines the illumination system to be utilized to image the target pattern; and, assigning a phase to the polygon based on the value of the interference map at a location corresponding to the polygon, where the phase defines which exposure in said multi-exposure process the polygon is assigned.
    • 一种分解具有要在基底上成像的特征的目标图案的方法,以便允许所述特征在多曝光过程中成像。 该方法包括以下步骤:将多个特征分割成多个多边形; 确定所述多个多边形中的每一个的图像对数斜率(ILS)值; 确定具有最小ILS值的多边形,并且定义包含多边形的掩模; 将所定义的掩模与传输交叉系数的本征函数进行卷积,以产生干涉图,其中传输交叉系数定义要用于对目标图案成像的照明系统; 并且基于在与所述多边形相对应的位置处的所述干涉图的值将相位分配给所述多边形,其中所述相位定义在所述多曝光处理中指定所述多边形的哪个曝光。