WO2007041135A1

WO2007041135A1 - Model-based sraf insertion

Info

Publication number: WO2007041135A1
Application number: PCT/US2006/037603
Authority: WO
Inventors: Shumay D. Shang; Lisa Swallow; Yuri Granik
Original assignee: Mentor Graphics Corporation
Priority date: 2005-09-30
Filing date: 2006-09-25
Publication date: 2007-04-12
Also published as: EP1932058A1; TW200809558A; US8037429B2; EP1932058B1; EP2357528A1; EP2357528B1; JP2009510526A; US20060200790A1; TWI364679B

Abstract

A system for producing mask layout data retrieves target layout data defining a pattern of features, or portion thereof and an optimized mask layout pattern that includes a number of printing and non-printing features. Mask layout data for one or more subresolution assist features (SRAFs) is then defined to approximate one or more non¬ printing features of the optimized mask layout pattern.

Description

MODEL-BASED SRAF INSERTION

FIELD OF THE INVENTION

The present invention relates to the preparation of layout data for use in a photolithographic processing system and, in particular, to resolution enhancement techniques for improving the quality of a printed layout pattern on a semiconductor wafer.

BACKGROUND OF THE INVENTION

In conventional photolithographic processing, integrated circuits are created on a semiconductor wafer by exposing the wafer with a pattern of features on a mask or reticle. The pattern of features selectively exposes photosensitive chemicals on a wafer that is then further chemically and mechanically processed to build up layers of the integrated circuit.

As the features on a mask become smaller and smaller, optical distortions can occur whereby the exposure pattern created on a wafer will not match the pattern of features on the mask. To correct this, numerous resolution enhancement techniques

(RETs) may be employed to improve the image quality so that the exposure pattern on a wafer more faithfully matches the pattern of features desired. Such RETs often comprise making extensive changes to the corresponding pattern of features on a mask to compensate for the known distortions in the imaging process.

With conventional resolution enhancement techniques, data for a pattern of mask features are analyzed with a computer program to estimate how a corresponding pattern of features will print on a mask. The data for the individual mask features or portions thereof may be adjusted such that the pattern created on the wafer will more faithfully match the desired layout. In addition, features, such as subresolution assist features (SRAFs), may be added to the layout data as necessary to improve printing fidelity. Typically, SRAFs are rectangular elements that are positioned adjacent to an edge of a feature in order to improve the contrast of the feature. The shape, size and placement of the SRAFs are typically predetermined, and often follow simple geometric rules. While conventional resolution enhancement techniques are functional at compensating for some process distortions, a better match between the image produced and the image desired can be achieved. SUMMARY OF THE INVENTION

To further improve the fidelity of a lithographic image to the desired layout pattern, the present invention is a system for generating mask layout data that approximates an optimized mask layout pattern that has been calculated to print a target pattern of features with a photolithographic process. The target layout pattern or portion thereof is received and the optimized mask layout pattern is calculated using the target layout pattern and the known parameters of a photolithographic printing system. The optimized mask layout pattern includes a number of printing features that correspond to features in the target layout and a number of non-printing features. In one embodiment of the invention, the mask layout data is generated from the optimized mask layout pattern by approximating one or more of the non-printing features as sub-resolution assist features (SRAFs). These SRAFs can in particular be generated with further constraints and criteria based on manufacturability parameters derived from the mask fabrication and

/ or wafer manufacturing processes. BRIEF DESCRIPTION OF THE DRAWINGS

The foregoing aspects and many of the attendant advantages of this invention will become more readily appreciated as the same become better understood by reference to the following detailed description, when taken in conjunction with the accompanying drawings, wherein: FIGURE 1 illustrates an example for a target pattern of features to be created on a semiconductor wafer;

FIGURE 2 illustrates an optimized mask layout pattern calculated to print the target pattern of features on a semiconductor wafer shown in Figure 1;

FIGURE 3 illustrates a number of non-printing features contained in the optimized mask layout pattern shown in FIGURE 2;

FIGURE 4 illustrates a number of first order or primary non-printing features identified within the optimized mask layout pattern;

FIGURE 5 illustrates a method of creating mask layout data that approximates one or more of the non-printing features in the optimized mask layout pattern in accordance with an embodiment of the present invention;

FIGURE 6 illustrates a number of polygons defined in the mask layout data to approximate one or more of the non-printing features; FIGURE 7 illustrates a number of polygons defined in the mask layout data to approximate one or more of the non-printing features, including polygons oriented at 45 degree angles;

FIGURE 8 is a flow chart of a method of creating mask layout data that approximates an optimized mask layout pattern in accordance with one embodiment of the present invention; and

FIGURE 9 illustrates a representative computer system that can implement the present invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT As indicated above, the present invention is a system for approximating an optimized mask layout pattern for use in printing a target pattern of features with a photolithographic process. FIGURE 1 illustrates a layout pattern of target features 8a, 8b, 8c . . , 8h etc., to be created on a semiconductor wafer.

In the example shown, the target features 8a-8h, etc. are square or rectangular contact pads in an integrated circuit. In the example, the normal 4x magnification of the mask features over the wafer features has also been assumed, and mask features are shown at the same scale of the corresponding wafer.

FIGURE 2 illustrates one possible optimized mask layout pattern that is calculated to print the target features of FIGURE 1. In the example shown in FIGURE 2, the optimized mask layout pattern includes irregular polygons 10a, 10b, 10c, etc., corresponding to and occupying approximately the same position as each target feature/contact pad 8a, 8b, 8c . . ., to be created on the wafer. Also included in the optimized mask layout pattern are a number of first order non-printing features 12a, 12b, 12c . . . and second order non-printing features 14a, 14b, 14c . . . At least some features are necessary in order to achieve an optimum printing of the individual target features 8a-8h . . . The non-printing features 12a, 12b, 12c . . . are generally irregularly shaped polygons. This is generally a function of the inverse calculation performed to calculate the optimized mask layout pattern. Each polygon for the printing and nonprinting features is stored in a layout database. In one embodiment of the invention, the optimized mask layout pattern shown in

FIGURE 2 is calculated by reading in the target layout data, or portion thereof, from a layout database. Typically, the target layout data is stored as a number of polygons in a layout language such as GDS-II or OASIS™. In the example shown, the target layout database stores a polygon for each of the contact pads to be created on a wafer. In some embodiments, the layout database may store polygons hierarchically, whereby the data for a repeated target feature may be defined once in the database along with a list of where each instance of the target feature is to be printed on the wafer. From the target layout data received and the known properties of the photolithographic system that will be used to print the mask layout data on a wafer, a calculation is performed with a computer system to determine what the optimized mask layout pattern should be in order to actually print the target layout of features 8 on a wafer. In one embodiment of the invention, the calculation of the optimized mask layout pattern comprises creating an inverse image of the target pattern using Fourier transforms and numerical de-convolution. In one embodiment of the invention, a gradient of an objective function based on the difference between a simulated image of the mask layout and the target image is generated analytically by convolution, and changes to individual pixels in the mask layout are systematically changed to minimize this objective function. In one embodiment of the invention, the changes to the individual pixels can be further constrained by additional mask constraints, such as a minimum pixel size, total number of mask writer shots, or other mask writing limitations. In one embodiment of the invention, the calculation of the optimized mask layout pattern comprises optimizing both the mask and the illumination. In one embodiment of the invention, the calculation of the optimized mask layout pattern is performed in accordance with techniques described in the paper "Solving Inverse Problems of Optical Microlithography" by Yuri Granik, published in Optical Microlithography XVIII, Proceedings of the SPIE Vol. 5754, pp. 506-526 (May 2005) and contained in U.S. Provisional Application No. 60/658,278, which are expressly incorporated by reference. In another embodiment of the invention, the optimized mask layout pattern is calculated in the manner described in U.S. Provisional Patent

Application No. , titled "Fast Pixel-Based Mask Optimization for Inverse

Lithography" by Yuri Granik, (attorney reference No. MEGC- 1-26523), which is filed concurrently herewith and expressly incorporated by reference herein. As used herein, the term "optimized" mask layout pattern refers to a layout pattern that is calculated mathematically from the target layout data and one or more optical parameters, e.g., illumination system, numerical aperture NA, illumination wavelength λ, etc. and process parameters such as print bias, resist threshold, etch bias, etc. Once the optimized mask layout pattern has been calculated for printing the target pattern of features on a wafer, the non-printing features of the mask pattern are analyzed. Some of the non-printing features, for example, feature 12a, completely surround a printing feature, i.e., feature 10a. Other non-printing features, e.g., feature 12e, are merely nearby a corresponding printing feature, e.g., 1Og. As indicated above, the optimized mask layout pattern also includes a number of second order non-printing features 14a, 14b, etc. For example, feature 14a is a second order feature to the printing feature 10a because it is farther away from the printing feature 10a than the primary or first order non-printing feature 12a. FIGURE 3 illustrates the optimized mask layout pattern with the printing features 10a- 1Oh etc. removed, thereby leaving the non-printing features 12a, 12b, 12c . . 14a, 14b, . .. In one embodiment of the invention, second order non-printing features are not approximated in the mask layout data created. However, if time and processing power permit and if the features can be approximated on a mask, such second order (or higher) features can be included in the final mask layout data, if desired.

FIGURE 4 illustrates the first order non-printing features 12 (shown as shaded) identified from the second order non-printing features 14 (shown as non-shaded). In one embodiment, the first order non-printing features 12 are identified in the optimized mask layout pattern by creating a set of polygons, with each of the printing features surrounded by a polygon. The dimension of the polygon will typically be the dimension of the printing feature expanded by a predetermined amount. This amount will typically be the sum of 1) a predetermined allowable distance between a printing feature and a first order non-printing feature, and 2) an additional amount added to accommodate the complete non-printing feature. This additional amount can be, for example, a factor of two or more times the typical non-printing feature width. A logical Boolean operation (typically an AND operation) is then carried out between the features of the optimized mask layout pattern and the polygons. Non-printing features which overlap the polygons are considered to be first order non-printing features, while those that do not overlap the polygons are higher order non-printing features. The critical maximum distance between printing features and the first order non-printing features is determined by evaluating the full mask optimization data. This distance typically varies according to the particular photolithographic process to be used and the target design to be created. As can be seen, the non-printing features shown in FIGURES 3 and 44 generally have irregular shapes that either cannot be directly produced on a mask or would require too much time or memory to produce accurately on a mask. Typically, mask writers are limited by one or more parameters, including a minimum jog width for the beam writer and certain allowed angles with which mask features can be defined, and mask writing time can increase in proportion to the number of exposure shots required. To approximate a curved feature, several shots may be required where only one is needed for an equivalent rectangle. These limitations can prevent the non-printing features from being written on a mask directly. In addition, incorrect interpretation of these detailed shapes by the fracturing software used to convert data to mask writer formats can result in these features being incorrectly rendered, with odd polygonal shapes, additional unwanted jogs, or other structures that will not function correctly when included on the mask. Therefore, in one embodiment of the invention, one or more of the non-printing features of an optimized mask layout are analyzed and approximated with subresolution assist features that can be printed on a mask.

One method of generating mask features that approximate one or more of the non-printing features in the optimized mask layout pattern is shown in FIGURE 5. hi the embodiment shown, an area 50 of the optimized mask layout pattern is selected and divided into a grid having a number of cells. In one embodiment, each grid cell has a dimension corresponding to the minimum jog size of the mask writer to be used in creating the masks. The grid cells may be square but that is not required. The search area 50 is analyzed with a mathematical algorithm or numerical program in which an analysis window 52 has a length and width equal to a preset number of grid cells. The analysis window 52 is generally rectangular or square but could be other shapes, hi the example shown in FIGURE 5, the analysis window 52 is a rectangle having a width of four grid cells and a height of two grid cells. The analysis window 52 is compared to various regions of the search area 50 by using a numerical algorithm that places a corner of the window 52 at a corresponding corner of a grid cell, and then stepping the location through each of the grid cells one-by-one. Next, it is determined if the analysis window 52 overlaps an area of a first order non-printing feature. In one embodiment shown, the area of the non-printing feature contained by the analysis window 52 is compared to the area of the analysis window to determine what the percentage of the window is occupied by a non-printing feature. If the area occupied is greater than some predetermined threshold, a polygon having a dimension equal to the dimensions of the analysis window 52 is defined in the mask layout data. The mask layout data is typically created in a separate data layer, distinct from the data layers used to represent the polygons of the target layout and also the those that represent the optimized mask layout pattern. This process is repeated until the window is stepped through the entire search area 50.

If the analysis window 52 is not square, the orientation of the window can be changed and the window stepped through the search area 50 again. In the example shown, the analysis window 52 is rotated by 90 degrees to be two grid cells wide and four grid cells high to capture vertically oriented portions of the non-printing features. FIGURE 6 illustrates a number of polygons 60, 62, 64, 66 overlaying a non-printing feature 12a. The polygons 60-66 are defined to approximate portions of the non-printing feature 12a. Polygons 60 and 62 are created by stepping a horizontally oriented, rectangular analysis window through the optimized mask layout pattern, m addition, polygons 64 and 66 are defined to approximate portions of the non-printing feature 12a by stepping a vertically oriented rectangular analysis window through the optimized mask layout pattern.

In some instances, a mask writer can write geometries at an angle such as ±45 degrees. Therefore, if the mask layout data is to be used with such a mask writer, the optimized mask layout pattern can be rotated by ±45 degrees and the above process of searching areas with an analysis window repeated. FIGURE 7 illustrates additional polygons 68, 70, 72, 74, positioned over a corresponding feature 12a. The polygons 68- 79 are defined in the mask layout data to approximate the non-printing feature 12a. The polygons 68-74 are obtained by creating a version of the optimized mask layout pattern with coordinates rotated at angles of ±45 degrees, stepping a rectangular search window through the pattern in the manner described above, then rotating the coordinates of the mask data generated in this step by an inverse of the original rotation. The inverse rotation ensures that all mask data is written using the same orientation as the original target data. As will be appreciated, each of the polygons 60-74 is initially defined as a series of rectangular (or other shape) polygons corresponding to the shape of the analysis window. For example, a single polygon may be defined for each group overlapping polygons by including the outer perimeter of the overlapping polygons. The combined polygon defines a subresolution assist feature within the mask layout data because the polygon is not large enough to print on a wafer but does aid in printing a target feature.

Once the mask data are determined that approximate one or more of the nonprinting features of optimized mask layout pattern, a data clean-up step can be executed. In one embodiment, polygons or portions thereof in the mask layout data that overlap can be removed if the density of one of the overlapping polygons is less than that of another. Similarly, the maximum width of an individual polygon can be thinned to have a width that is less than the maximum width of a non-printing feature for the photolithographic processing system to be used. Similarly, the maximum length of any polygon can be shortened to be less than the length of a maximum non-printing feature.

In yet another embodiment, irregularly shaped polygons that approximate a nonprinting feature or portion thereof can be simplified to remove jogs or other features that are difficult to write on a mask, or the shot count has increased to such a degree that the write time is too long. The exact parameters and limitations of the clean-up step can be selected by a user, and can use criteria based on rules derived from the printing capabilities of the mask writer or can be based on a model simulation of how the polygons will behave during photolithographic processing.

Although the embodiment of the present invention described operates to create mask layout data features that approximate one or more first order, non-printing features in the optimized mask layout pattern, it will be appreciated that polygons that approximate the second order or higher non-printing features could also be included in the mask layout data if desired.

FIGURE 8 is a flow chart illustrating a series of steps performed by one embodiment of the present invention in order to produce mask layout data for one or more masks to print a target layout pattern. Beginning at 100, target layout data for a layout design, or portion thereof, is retrieved from a layout database. At 102, an optimized mask layout pattern is computed from the target layout data and the optical properties of the photolithographic system to be employed in printing the target layout.

At 104, the non-printing features of the optimized mask layout pattern are identified. These can be copied to a separate data layer containing only these nonprinting features, or remain in a data layer merged with printing features. At 106, mask features are defined that approximate all or a portion of one or more of the non-printing features. As described above, in one embodiment of the invention, subresolution assist features are defined to approximate only the first order non-printing features. However, subresolution assist features that approximate higher order non-printing features can be included in the mask layout data, if desired. At 108, the mask layout data is created by merging the printing features and the sub-resolution assist features corresponding to the non-printing features and is stored in a database.

The data for the printing features can be either the polygons 10 computed in the optimized mask layout pattern or can be the polygons that describe the original target features 8. The mask layout data, including the data for the target features and the data that correspond to the non-printing features, is then finalized. In some embodiments of the invention, additional analysis and correction of the mask layout data may be performed (such as DRC, OPC, PSM, etc.) at 110. At 112, the finalized data is converted to standard encapsulation formats such as GDS-II or OASIS, or converted (fractured) into mask writer formats (MEBES, Hitachi, .MIC, etc.). At 114, the finalized, converted mask data is exported, for example, to a mask writer to create one or more masks used for creating the target pattern features on a semiconductor wafer.

FIGURE 9 illustrates one embodiment of a computer system that can be used to implement the present invention. In the example shown, a computer system 200 includes one or more programmable processors that receive a set of executable instructions on a computer-readable media 202. Alternatively, the instructions may be received from a wireless or wired communications link 204. The computer system 200 executes the instructions to receive target layout data from a layout database 206 in order to compute mask layout data that can be transmitted to a mask writer 210, as described above.

The computer system 200 may be a stand alone, single or multiprocessor device or may be a networked or parallel processing computer system. La addition, the computer system 200 may be connected by a communication link 220, such as the Internet, to one or more remotely located computers 240. Target layout data can be retrieved from the layout database and transmitted to the remotely located computer 240, which may be inside or outside the United States, to perform the mask data calculations as described above. Mask layout data from the remotely located computer 240 can be returned to the computer system 200 or transmitted directly to the mask writer 210 to create one or more corresponding masks or reticles.

While the preferred embodiment of the invention has been illustrated and described, it will be appreciated that various changes can be made therein without departing from the scope of the invention. It is therefore intended that the scope of the invention be determined from the following claims and equivalents thereof.

Claims

The embodiments of the invention in which an exclusive property or privilege is claimed are defined as follows:

1. A method of preparing mask layout data for use in a photolithographic printing system to create a pattern of features on a semiconductor wafer, comprising: receiving target layout data that defines a pattern of features to be printed on a semiconductor wafer; determining an optimized mask layout pattern that will produce the pattern of features on a semiconductor wafer, wherein the optimized mask pattern includes data for printing features and data for a number of non-printing features; defining one or more subresolution assist features in the mask layout data that approximates one or more non-printing features; and combining the data for the subresolution assist features and the data for the printing features to create the mask layout data.

2. The method of Claim 1, wherein the subresolution assist features that approximate the non-printing feature are defined by: defining one or more polygons in the mask layout data that overlap non-printing features in the optimized mask layout pattern.

3. The method of Claim 2, wherein the polygons in the mask layout data are defined by stepping a an analysis window through a portion of the optimized mask layout pattern and determining if the analysis window is positioned over a non-printing feature, wherein a polygon having a shape of the analysis window is defined in the mask layout data if the analysis window and a non-printing feature overlap by a predefined amount.

4. The method of Claim 1, wherein overlapping polygons in the mask layout data are defined as a single polygon having a perimeter equal to the outer edges of the overlapping polygons to define a subresolution assist feature.

5. The method of Claim 4, further comprising adjusting the size of the polygons in the mask layout data that define subresolution assist features to ensure that the polygons do not print on the semiconductor wafer.

6. The method of Claim 1, wherein the optimized mask layout pattern is determined by: computing an approximation of the Fourier Transform of the target layout pattern.

7. The method of Claim 1, wherein the optimized mask layout pattern is determined by: computing a deconvolution.

8. The method of Claim 6, wherein the optimized mask layout pattern additionally is additionally determined by: computing an inverse Fourier Transform of a convolution.

9. The method of Claim 1, wherein the optimized mask layout pattern is determined by: dividing the target layout data into a number of pixels; determining an objective function; systematically changing the values of pixels in the target mask data, and retaining the changes in pixel value that improve the result of the objective function.

10. The method of Claim 9, further comprising: computing a gradient of the objective function analytically by convolution.

11. A computer-readable media containing a sequence of program instructions that are executed by a computer to perform a method of: receiving target layout data that defines a pattern of features to be printed on a semiconductor wafer; determining an optimized mask layout pattern that will produce the pattern of features on a semiconductor wafer, wherein the optimized mask pattern includes data for printing features and data for a number of non-printing features; defining one or more subresolution assist features in the mask layout data that approximates one or more non-printing features; and combining the data for the subresolution assist features and the data for the printing features to create the mask layout data.

12. A mask for creating a target pattern of features on a semiconductor wafer that includes: a number of polygons printed on the mask that correspond to the pattern of features to be created; and a number of subresolution assist features that approximate non-printing features of an optimized mask layout pattern computed to print the target pattern of features.