Abstract: Minimizing memory access by converting a given matrix computation into a set of low-order polynomials. The set of polynomials is processed using parallel computational hardware such as graphical processing units.

Abstract: Optical proximity correction techniques performed on one or more graphics processors improve the masks used for the printing of microelectronic circuit designs. Execution of OPC techniques on hardware or software platforms utilizing graphics processing units. GPUs may share the computation load with the system CPUs to efficiently and effectively execute the OPC method steps.

Abstract: In an electronic design automation technique for optical proximity correction, an optimized mask function that has values other than those allowed for a particular mask type, such as 0 and 1 for a chrome-on-glass binary mask, evolves it to a solution restricted to these values or narrow intervals near them. The technique “regularizes” the solution by mixing in a new cost functional that encourages the mask to assume the desired values. The mixing in may be done over one or more steps or even “quasistatically,” in which the total cost functional and the mask is brought from pure goodness-of-fit to the printed layout for given conditions to pure manufacturability by keeping the total cost functional minimized step-by-step. A goal of this gradual mixing-in is to do thermodynamically optimal work on the mask function to bring it to manufacturable values.

Abstract: A method for optical proximity correction (OPC) is disclosed, in which a set of VSB shots is determined, where the set of shots can approximately form a target reticle pattern that is an OPC-compensated version of an input pattern. The set of shots is simulated to create a simulated reticle pattern. A substrate image is calculated, based on using the simulated reticle pattern in an optical lithographic process to form the substrate image. A system for OPC is also disclosed.

Abstract: In an electronic design automation technique for optical proximity correction, a mask is represented by a function with an exact analytical form over a mask region. Using the physics of optical projection, a solution based on a spatial frequency analysis is determined. Spatial frequencies above a cutoff are determined by the optical system do not contribute to the projected image. Spatial frequencies below this cutoff affect the print (and the mask), while those above the cutoff only affect the mask. Frequency components in the function below this cutoff frequency may be removed, which will help to reduce computational complexity.

Abstract: A method for fracturing or mask data preparation is disclosed, in which a set of shots is determined, where each shot will direct a circular or nearly-circular dosage pattern to a surface, where each shot comprises a shot dosage, and in which the set of shots is output. A method for forming patterns on a surface using charged particle beam lithography is also disclosed, in which a stencil is provided comprising one or more circular apertures, and where a plurality of circular patterns of different sizes are formed on the surface using a single aperture, by varying the shot dosage.

Abstract: A method and system for fracturing or mask data preparation or proximity effect correction is disclosed in which a series of charged particle beam shots is determined, where the series of shots is capable of forming a continuous non-manhattan track on a surface, such that the non-manhattan track has a line width roughness (LWR) which nearly equals a target LWR. A method and system for fracturing or mask data preparation or proximity effect correction is also disclosed in which at least two series of shots are determined, where each series of shots is capable of forming a continuous non-manhattan track on a surface, and where the space between tracks has space width roughness (SWR) which nearly equals a target SWR.

Abstract: A method for forming a pattern on a surface using charged particle beam lithography is disclosed, where the shots in an ordered set of input shots are modified within a subfield to reduce either a thermal variation or a maximum temperature of the surface during exposure by the charged particle beam writer. A method for fracturing or mask data processing is also disclosed, where an ordered set of shots is generated which will expose at least one subfield of a surface using a shaped beam charged particle beam writer, and where a temperature or a thermal variation generated on the surface during the exposure of one subfield is calculated. Additionally, a method for forming a pattern on a surface with an ordered set of shots using charged particle beam lithography is disclosed, in which a blanking period following a shot is lengthened to reduce the maximum temperature of the surface.

Abstract: A method and system for fracturing or mask data preparation or proximity effect correction is disclosed in which a series of charged particle beam shots is determined, where the series of shots is capable of forming a continuous non-manhattan track on a surface, such that the non-manhattan track has a line width roughness (LWR) which nearly equals a target LWR. A method and system for fracturing or mask data preparation or proximity effect correction is also disclosed in which at least two series of shots are determined, where each series of shots is capable of forming a continuous non-manhattan track on a surface, and where the space between tracks has space width roughness (SWR) which nearly equals a target SWR.

Abstract: A method and system for fracturing or mask data preparation are presented in which overlapping shots are generated to increase dosage in selected portions of a pattern, thus improving the fidelity and/or the critical dimension variation of the transferred pattern. In various embodiments, the improvements may affect the ends of paths or lines, or square or nearly-square patterns. Simulation is used to determine the pattern that will be produced on the surface.

Abstract: A method and system for optical proximity correction (OPC) is disclosed in which a set of shaped beam shots is determined which, when used in a shaped beam charged particle beam writer, will form a pattern on a reticle, where some of the shots overlap, where the pattern on the reticle is an OPC-corrected version of an input pattern, and where the sensitivity of the pattern on the reticle to manufacturing variation is reduced. A method for fracturing or mask data preparation is also disclosed.

Abstract: In a method for fracturing or mask data preparation or mask process correction for charged particle beam lithography, a plurality of shots are determined that will form a pattern on a surface, where shots are determined so as to reduce sensitivity of the resulting pattern to changes in beam blur (?f). In some embodiments, the sensitivity to changes in ?f is reduced by varying the charged particle surface dosage for a portion of the pattern. Methods for forming patterns on a surface, and for manufacturing an integrated circuit are also disclosed, in which pattern sensitivity to changes in ?f is reduced.

Abstract: A method for mask data preparation or mask process correction is disclosed in which a set of charged particle beam shots is determined which is capable of forming a pattern on a surface, wherein critical dimension uniformity (CDU) of the pattern is optimized. In some embodiments the CDU is optimized by varying at least two factors. In other embodiments, model-based techniques are used. In yet other embodiments, the surface is a reticle to be used in an optical lithographic process to form a pattern on a wafer, and CDU on the wafer is optimized.

Abstract: A method for mask process correction or forming a pattern on a resist-coated reticle using charged particle beam lithography is disclosed, where the reticle is to be used in an optical lithographic process to form a pattern on a wafer, where the sensitivity of the wafer pattern is calculated with respect to changes in resist exposure of the reticle, and where the pattern exposure information is modified to lower the calculated sensitivity. A method for fracturing or mask data preparation is also disclosed, where pattern exposure information is determined that can form a pattern on a resist-coated reticle using charged particle beam lithography, where the reticle is to be used in an optical lithographic process to form a pattern on a wafer, and where the sensitivity of the wafer pattern is calculated with respect to changes in resist exposure of the reticle.

Abstract: An integrated circuit comprising a plurality of standard cell circuit elements is disclosed, wherein for at least one layer of the integrated circuit, a majority of minimum-width patterns are in a preferred diagonal orientation.

Abstract: A method and system for fracturing or mask data preparation is disclosed in which the central core portion of a diagonal pattern is fractured using overlapping variable shaped beam (VSB) shots, and an outer portion of the diagonal pattern is fractured using non-overlapping VSB shots. A transition region is interposed between the central core and outer pattern portions, and transition region shots are generated so as to produce in the transferred pattern a smooth transition in pattern characteristics such as line edge roughness or period of waviness, from the central core portion of the pattern to the outer portion of the pattern. A pattern determined by the transition region shots is then compared to a reticle pattern created using conventional non-overlapping VSB shots. Methods for forming a semiconductor device layout pattern on a reticle or substrate are also disclosed.

Abstract: Computationally intensive electronic design automation operations are accelerated with algorithms utilizing one or more graphics processing units. The optical proximity correction (OPC) process calculates, improves, and optimizes one or more features on an exposure mask (used in semiconductor or other processing) so that a resulting structure realized on an integrated circuit or chip meets desired design and performance requirements. When a chip has billions of transistors or more, each with many fine structures, the computational requirements for OPC can be very large. This processing can be accelerated using one or more graphics processing units.

Abstract: In the field of semiconductor production using shaped charged particle beam lithography, a method and system for fracturing or mask data preparation or proximity effect correction is disclosed, wherein a plurality of circular or nearly-circular shaped beam shots can form a non-circular pattern on a surface. Methods for manufacturing a reticle and for manufacturing a substrate such as a silicon wafer by forming non-circular patterns on a surface using a plurality of circular or nearly-circular shaped beam shots is also disclosed.

Abstract: A method and system for fracturing or mask data preparation for charged particle beam lithography are disclosed in which a plurality of charged particle beam shots is determined that will form a pattern on a surface using a multi-beam charged particle beam writer, where the sensitivity of the pattern on the surface to manufacturing variation is reduced by increasing edge slope.

Abstract: A method for forming patterns on a surface using charged particle beam lithography is disclosed, in which a stencil is provided comprising first and second apertures, where circular or nearly-circular patterns in a first plurality of sizes are formed on the surface using the first aperture by varying shot dosage, and where circular or nearly-circular patterns in a second plurality of sizes are formed on the surface using the second aperture by varying shot dosage. A similar method for fracturing or mask data preparation is also disclosed. A stencil for charged particle beam lithography is also disclosed, where the stencil comprises first aperture and second apertures capable of forming, in one shot, patterns in a first and a second range of sizes on a surface by varying the shot dosage, where the first range of sizes is discontinuous with the second range of sizes.