摘要:
A method for illuminating a mask to project a desired image pattern into a photoactive material is described. The method includes receiving an image pattern. Determining a relationship between source pixels in a set of source pixels to desired intensities at one or more points in the image pattern is performed. Linear constraints are imposed on a set of intensity values based on one or more contingent intensity condition. The contingent intensity conditions include integer variables specifying contingent constraints. The method includes determining values of the set of intensity values in accordance with the linear constraints, using a constrained optimization algorithm. The set of intensity values represents intensities of a set of source pixels. The set of intensity values are output. Apparatus and computer readable storage media are also described.
摘要:
A structure and a method for an equi-brightness optimization. The method may include projecting a plurality of bright patterns having a plurality of bright points and a plurality of dark patterns having a plurality of dark points on a substrate, generating a plurality of joint eigenvectors of the plurality of bright points and a plurality of dark points, selecting a predetermined number of joint eigenvectors to project the plurality of bright patterns, generating a plurality of natural sampling points from the plurality of bright points, wherein the plurality of natural sampling points has a substantially equal intensity, and obtaining a representation of an aperture from the plurality of natural sampling points, wherein an image of the representation of the aperture has a substantially uniform intensity.
摘要:
A simplified version of a multiexpose mask optimization problem is solved in order to find a compressed space in which to search for the solution to the full problem formulation. The simplification is to reduce the full problem to an unconstrained formulation. The full problem of minimizing dark region intensity while maintaining intensity above threshold at each bright point can be converted to the unconstrained problem of minimizing average dark region intensity per unit of average intensity in the bright regions. The extrema solutions to the simplified problem can be obtained for each source. This set of extrema solutions is then assessed to determine which features are predominantly printed by which source. A minimal set of extrema solutions serves as a space of reduced dimensionality within which to maximize the primary objective under constraints. The space typically has reduced dimensionality through selection of highest quality extrema solutions.
摘要:
Programmable illuminators in exposure tools are employed to increase the degree of freedom in tool matching. A tool matching methodology is provided that utilizes the fine adjustment of the individual source pixel intensity based on a linear programming (LP) problem subjected to user-specific constraints to minimize the difference of the lithographic wafer data between two tools. The lithographic data can be critical dimension differences from multiple targets and multiple process conditions. This LP problem can be modified to include a binary variable for matching sources using multi-scan exposure. The method can be applied to scenarios that the reference tool is a physical tool or a virtual ideal tool. In addition, this method can match different lithography systems, each including a tool and a mask.
摘要:
A simplified version of a multiexpose mask optimization problem is solved in order to find a compressed space in which to search for the solution to the full problem formulation. The simplification is to reduce the full problem to an unconstrained formulation. The full problem of minimizing dark region intensity while maintaining intensity above threshold at each bright point can be converted to the unconstrained problem of minimizing average dark region intensity per unit of average intensity in the bright regions. The extrema solutions to the simplified problem can be obtained for each source. This set of extrema solutions is then assessed to determine which features are predominantly printed by which source. A minimal set of extrema solutions serves as a space of reduced dimensionality within which to maximize the primary objective under constraints. The space typically has reduced dimensionality through selection of highest quality extrema solutions.
摘要:
A structure and a method for an equi-brightness optimization. The method may include projecting a plurality of bright patterns having a plurality of bright points and a plurality of dark patterns having a plurality of dark points on a substrate, generating a plurality of joint eigenvectors of the plurality of bright points and a plurality of dark points, selecting a predetermined number of joint eigenvectors to project the plurality of bright patterns, generating a plurality of natural sampling points from the plurality of bright points, wherein the plurality of natural sampling points has a substantially equal intensity, and obtaining a representation of an aperture from the plurality of natural sampling points, wherein an image of the representation of the aperture has a substantially uniform intensity.
摘要:
A method for illuminating a mask to project a desired image pattern into a photoactive material is described. The method includes receiving an image pattern. Determining a relationship between source pixels in a set of source pixels to desired intensities at one or more points in the image pattern is performed. Linear constraints are imposed on a set of intensity values based on one or more contingent intensity condition. The contingent intensity conditions include integer variables specifying contingent constraints. The method includes determining values of the set of intensity values in accordance with the linear constraints, using a constrained optimization algorithm. The set of intensity values represents intensities of a set of source pixels. The set of intensity values are output. Apparatus and computer readable storage media are also described.
摘要:
A method for obtaining mask and source patterns for printing integrated circuit patterns includes providing initial representations of a plurality of mask and source patterns. The method identifies long-range and short-range factors in the representations of the plurality of mask and source patterns, and provides a plurality of clips including a specified number of mask patterns. Short-range factors having overlapping ranges for each of the clips are specified. The method includes determining an initial processing priority for the plurality of clips, and determining a patterning relationship between integrated circuit patterns and the mask and source patterns. A primary objective is determined which expresses the printability of the integrated circuit patterns in terms of the patterning relationship. The method defines and iteratively solves a master problem employing the primary objective to generate values for the long-range factors, and solves subproblems employing a second objective for generating values for the short-range factors.
摘要:
Optical wave data for a semiconductor device design is divided into regions. First wavefront engineering is performed on the wave data of each region, accounting for just the wave data of each region and not accounting for the wave data of neighboring regions of each region. The optical wave data of each region is normalized based on results of the first wavefront engineering. Second wavefront engineering is performed on the wave data of each region, based at least on the wave data of each region as has been normalized. The second wavefront engineering takes into account the wave data of each region and a guard band around each region that includes the wave data of the neighboring regions of each region. The second wavefront engineering can be sequentially performed by organizing the regions into groups, and sequentially performing the second wavefront engineering on the regions of each group in parallel.
摘要:
A method for illuminating a mask with a source to project a desired image pattern through a lithographic system onto a photoactive material including: defining a representation of the mask; obtaining a fractional resist shot noise (FRSN) parameter; determining a first relationship between a first set of optical intensity values and an edge roughness metric based on the FRSN parameter; determining a second relationship between a second set of optical intensity values and a lithographic performance metric; imposing a set of metric constraints based on one of the first and second relationships; setting up an objective function of optimization based on the remaining of the two relationships; determining optimum constrained values of the representation of the mask based on the set of metric constraints and the objective function; and outputting these values.