Model-Based Photomask Synthesis for Lithography

Resolve Bottlenecks,
Find Innovative Solutions
Generate Solutions

Solution Overview

Problem

In sub-wavelength optical lithography, existing methods for synthesizing photomasks fail to accurately replicate patterns on wafers due to distortions, necessitating improved techniques for optical proximity correction and subresolution assist feature insertion.

Innovation Solution

A model-based photomask synthesis method that calculates a figure-of-merit for the mask function, adjusts it by determining the Fréchet derivative, and optimizes edge movements and segmentation to enhance image quality, incorporating subresolution assist features and continuously varying phase and amplitude.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Manufacturing precision

If conventional photomask synthesis methods are used, then the manufacturing process is simpler, but the manufacturing precision of the pattern on the wafer deteriorates due to optical proximity effects and distortions

Engineering Contradiction:
Improvepattern accuracy on waferVSAvoidphotomask synthesis complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent applies preliminary action by performing optical proximity correction and pattern optimization during the photomask synthesis stage before actual lithography. The method calculates proximity effects using a lithography model and adjusts the photomask pattern in advance to compensate for expected distortions, ensuring accurate pattern transfer to the wafer without requiring complex real-time corrections during manufacturing

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent implements feedback by using a lithography model to simulate and calculate the actual pattern that will be formed on the wafer from the proposed photomask design. The calculated proximity effects and pattern deviations are fed back into the synthesis process to iteratively optimize the photomask pattern, creating a closed-loop system that continuously improves pattern accuracy based on simulated performance

Inventive Principle:
Principle #23Feedback

2Manufacturing precision

If optical proximity correction and subresolution assist features are added, then the image quality improves, but the device complexity increases

Engineering Contradiction:
Improveimage qualityVSAvoidphotomask structure complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent applies segmentation by dividing the photomask pattern into different feature types: main resolution features and subresolution assist features. The synthesis method separately optimizes each category, allowing subresolution features to be added to enhance image quality and compensate for proximity effects without directly increasing the complexity of the primary pattern structure

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent implements local quality by applying different design criteria and optimization parameters to different regions and feature types within the photomask. Subresolution assist features are strategically placed in specific locations where proximity effects are most problematic, while main features follow different design rules, allowing localized optimization of image quality without uniformly increasing overall complexity

Inventive Principle:
Principle #3Local quality

Data Source

PatentUS7480891B2Method and apparatus of model-based photomask synthesis
Publication Date: 2009.01.20 SILVACO INC
  • US7480891B2 patent drawing
  • US7480891B2 patent drawing
  • US7480891B2 patent drawing

AI summary

An apparatus and method for improving image quality in a photolithographic process includes calculating a figure-of-demerit for a photolithographic mask function and then adjusting said photolithographic mask function to reduce the figure of demerit.