Lithography Pattern Calculation for Critical Dimension Variation Control

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Solution Overview

Problem

Current lithography methods face challenges in accurately reproducing small critical dimensions on substrates due to manufacturing variations and computational inefficiencies, particularly in optical lithography and inverse lithography technology, leading to increased costs and reduced yield.

Innovation Solution

A method involving neural networks is used to calculate patterns on substrates by inputting physical design patterns, generating multiple possible neighborhoods, and adjusting parameters to reduce manufacturing variation, incorporating charged particle beam systems for precise pattern formation.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Manufacturing precision

If optical lithography or inverse lithography technology is used to fabricate small critical dimensions, then manufacturing precision is improved, but computational time increases and manufacturing variations worsen

Engineering Contradiction:
Improvecritical dimension accuracyVSAvoidcomputational time
Core Design Contradiction:
Manufacturing precisionVSLoss of time

Solution Approach 1:

The patent pre-calculates and stores lookup tables containing pattern formation results for various parameter combinations before actual manufacturing. During production, the system only needs to query these pre-computed tables rather than performing full computational simulations, dramatically reducing real-time computational time while maintaining precision for small critical dimensions

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent accounts for manufacturing variations by pre-computing patterns under multiple possible variation conditions and storing them in lookup tables. This beforehand cushioning against variations allows the system to quickly select appropriate pre-computed patterns that compensate for expected manufacturing tolerances, improving critical dimension accuracy without adding computational overhead during production

Inventive Principle:
Principle #11Beforehand cushioning (Prior cushioning)

2Manufacturing precision

If inverse lithography technology is used to calculate patterns, then manufacturing precision is improved, but device complexity increases

Engineering Contradiction:
Improvepattern fidelityVSAvoidcomputational system complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent creates simplified lookup tables that copy and store pre-computed pattern results from complex inverse lithography calculations. Instead of performing complex computations during manufacturing, the system uses these simplified lookup tables to quickly retrieve appropriate patterns, reducing device complexity while preserving the high pattern fidelity achieved through inverse lithography

Inventive Principle:
Principle #26Copying

Solution Approach 2:

The patent divides the complex inverse lithography calculation process into separate pre-computation and query phases. The computationally intensive parts are segmented and performed beforehand to build lookup tables, while the manufacturing phase only requires simple table lookups, effectively reducing the complexity burden during actual production

Inventive Principle:
Principle #1Segmentation

3Device complexity

If traditional lithography methods are used, then device complexity is reduced, but manufacturing precision deteriorates

Engineering Contradiction:
Improvesystem simplicityVSAvoidcritical dimension control
Core Design Contradiction:
Device complexityVSManufacturing precision

Solution Approach 1:

The patent performs preliminary computations to create lookup tables that encode the complex pattern formation physics. This allows traditional simpler lithography systems to achieve improved critical dimension control by querying pre-computed results rather than requiring complex real-time calculations, effectively bridging the gap between system simplicity and manufacturing precision

Inventive Principle:
Principle #10Preliminary action

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

Enhances manufacturing accuracy and reduces computational time by modeling multiple manufacturing stages simultaneously, allowing for real-time adjustments and improved pattern fidelity on substrates.

Implementation Method 1

In all types of charged particle beam lithography, charged particle beams shoot energy to a resist-coated surface to expose the resist

Methodology Applied
Scientific EffectCharged particle beam exposure: Ion Beam

Data Source

PatentUS12372864B2Methods and systems to determine shapes for semiconductor or flat panel display fabrication
Publication Date: 2025.07.29 D2S INC
  • US12372864B2 patent drawing
  • US12372864B2 patent drawing
  • US12372864B2 patent drawing

AI summary

Methods for calculating a pattern to be manufactured on a substrate include inputting a physical design pattern, determining a plurality of possible neighborhoods for the physical design pattern, generating a plurality of possible mask designs for the physical design pattern, calculating a plurality of possible patterns on the substrate, calculating a variation band from the plurality of possible patterns, and modifying the physical design pattern to reduce the variation band. Embodiments also include inputting a set of parameters for a neural network to calculate a pattern to be manufactured on a substrate, calculating a plurality of patterns to be manufactured on the substrate for the physical design in each possible neighborhood of the plurality of possible neighborhoods, training the neural network with the calculated plurality of patterns, and adjusting the set of parameters to reduce the manufacturing variation for the calculated plurality of patterns to be manufactured on a substrate.