Sub-layer Proximity Effect Modeling for Semiconductor Critical Dimension Accuracy

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Solution Overview

Problem

Conventional modeling algorithms for semiconductor device fabrication do not account for the impact of sub-layers, such as active layers positioned below gate polysilicon layers, leading to inaccuracies in critical dimension reproduction during photolithography due to optical and process proximity effects.

Innovation Solution

A method that performs first and second proximity effect modeling based on photolithography effects caused by gate and field polysilicon layers and active layers respectively, calculates pattern density using kernels like Top Hat or Gaussian, and combines results for proximity correction to manipulate mask layouts, incorporating sub-layer effects into the modeling algorithm.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional modeling algorithms are used that only consider gate and field polysilicon layers, then the modeling process is simple, but the critical dimension reproduction accuracy deteriorates due to unaccounted sub-layer proximity effects

Engineering Contradiction:
Improvecritical dimension reproduction accuracyVSAvoidmodeling algorithm complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The proximity effect modeling is segmented into multiple independent components: first proximity effect modeling for gate and field polysilicon layers, and second proximity effect modeling for sub-layers. Each component is modeled separately using dedicated algorithms and parameters, then combined to achieve comprehensive accuracy without overwhelming complexity in a single monolithic model.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

A sub-layer proximity effect modeling component is introduced as an intermediary between the conventional polysilicon layer modeling and the final critical dimension prediction. This intermediary layer specifically captures the optical and process proximity effects from active layers and other sub-layers, filling the gap in conventional models and improving overall accuracy.

Inventive Principle:
Principle #24Intermediary (Mediator)

2Manufacturing precision

If multi-layer proximity effect modeling is performed to account for sub-layers, then the accuracy of critical dimension reproduction improves, but the computational complexity and processing time increase

Engineering Contradiction:
Improveline width variation controlVSAvoidmodeling and correction processing time
Core Design Contradiction:
Manufacturing precisionVSLoss of time

Solution Approach 1:

The computational workload is segmented into separate modeling passes for different layers. The first proximity effect modeling handles gate and field polysilicon, while the second handles sub-layers. This segmentation allows for optimized computational approaches in each pass and enables parallel processing where applicable, reducing overall processing time compared to a single comprehensive model.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The modeling approach applies partial action by focusing computational resources on the most critical layers that have the greatest impact on critical dimension accuracy. Rather than modeling every possible effect from all layers with equal detail, the method prioritizes sub-layers and polysilicon layers that contribute most significantly to proximity effects, achieving high accuracy with reduced computational overhead.

Inventive Principle:
Principle #16Partial or excessive action

Data Source

PatentUS8555209B2Method for fabricating a semiconductor device using a modeling algorithm to model the proximity effect from the sub-layer
Publication Date: 2013.10.08 SAMSUNG ELECTRONICS CO LTD
  • US8555209B2 patent drawing
  • US8555209B2 patent drawing
  • US8555209B2 patent drawing

AI summary

A method for forming a circuit layout comprises performing process proximity effect modeling based on process proximity effects caused by a sub-layer, wherein the sub-layer comprises an active layer positioned under a gate poly, and wherein performing the process proximity effect modeling includes calculating a pattern density of the sub-layer, incorporating results of the process proximity effect modeling into a modeling algorithm, and performing proximity correction using the results to manipulate a layout of a mask to be used when forming the circuit layout by photolithography.