SEM Edge Detection via Inverse Linescan Noise Subtraction

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Solution Overview

Problem

Existing edge detection methods in scanning electron microscopes (SEMs) face challenges in accurately measuring feature roughness due to noise contamination, leading to biased measurements that are dependent on tool settings and struggle with high noise levels, especially at smaller feature sizes.

Innovation Solution

The implementation of an inverse linescan model that calibrates and fits measured linescan information to determine feature geometry, allowing for unbiased roughness measurements by averaging along axes of symmetry to separate noise from actual roughness, and subtracting noise from power spectral density (PSD) to obtain accurate roughness parameters.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional edge detection methods are used in SEMs, then edge positions can be detected, but measurement precision deteriorates due to noise contamination and bias dependence on tool settings

Engineering Contradiction:
Improveroughness measurement accuracyVSAvoidmeasurement bias dependence on tool settings
Core Design Contradiction:
Measurement precisionVSReliability

Solution Approach 1:

The patent extracts and removes the noise component from the power spectral density (PSD) measurement. By separating the noise PSD from the total measured PSD, the method isolates the true roughness signal, eliminating the bias that would otherwise be present in conventional measurements that cannot distinguish noise from actual feature roughness.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent changes the parameter being measured from the raw PSD to the noise-subtracted PSD. By transforming the measurement parameter to represent only the true roughness component (after removing noise contributions), the method achieves unbiased roughness measurements that are independent of SEM tool settings and noise levels.

Inventive Principle:
Principle #35Parameter changes

2Object-affected harmful factors

If noise filtering is applied to improve edge detection, then noise is reduced, but measurement precision deteriorates due to loss of actual roughness information

Engineering Contradiction:
Improveimage noise levelVSAvoidroughness measurement accuracy
Core Design Contradiction:
Object-affected harmful factorsVSMeasurement precision

Solution Approach 1:

Instead of filtering out noise, the patent extracts and separately measures the noise component through PSD analysis. By identifying the noise PSD in frequency domain and subtracting it from the total PSD, the method removes only the noise contribution while preserving all actual roughness information across all frequency ranges.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent introduces the power spectral density (PSD) as an intermediary tool to separate noise from roughness. The PSD transformation allows noise and signal to be distinguished in the frequency domain, serving as a mediator that enables selective removal of noise without affecting the true roughness characteristics.

Inventive Principle:
Principle #24Intermediary (Mediator)

3Device complexity

If conventional edge detection is used, then processing is simpler, but measurement precision deteriorates due to inability to separate noise from roughness

Engineering Contradiction:
Improvedetection method complexityVSAvoidroughness measurement accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent introduces power spectral density (PSD) analysis as an intermediary computational step that enables noise separation. While this adds complexity compared to simple threshold-based edge detection, the PSD intermediary provides the mathematical framework needed to accurately distinguish noise from true roughness, achieving superior measurement precision.

Inventive Principle:
Principle #24Intermediary (Mediator)

Solution Approach 2:

The patent replaces physical noise filtering mechanisms with a computational signal processing approach. Instead of using hardware filters that physically remove frequency components, the method uses mathematical operations on the PSD to subtract noise contributions, achieving noise removal through computation rather than physical filtering.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

Data Source

PatentUS11664188B2Edge detection system
Publication Date: 2023.05.30 FRACTILIA LLC
  • US11664188B2 patent drawing
  • US11664188B2 patent drawing
  • US11664188B2 patent drawing

AI summary

An edge detection system is provided that generates a scanning electron microscope (SEM) linescan image of a pattern structure including a feature with edges that require detection. The edge detection system includes an inverse linescan model tool that receives measured linescan information for the feature from the SEM. In response, the inverse linescan model tool provides feature geometry information that includes the position of the detected edges of the feature.