Cross-Wafer Model Constraining Semiconductor Metrology Parameters

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Solution Overview

Problem

Current optical metrology systems face challenges in accurately measuring structural parameters of semiconductor devices due to increasing complexity and miniaturization, leading to high parameter correlation, increased measurement time, and reduced illumination intensity, especially when dealing with high-aspect ratio three-dimensional structures and opaque materials.

Innovation Solution

The development of an optimized measurement model that constrains parameter variations across a semiconductor wafer using a cross-wafer model, reducing parameter correlation and enabling more accurate measurements with fewer technologies and reduced wavelength ranges, by characterizing specimen parameters as functions of location and incorporating process-induced spatial patterns.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Adaptability or versatility

If measurements are performed over a large range of machine parameters (wavelength, azimuth, angle of incidence), then measurement coverage and characterization capability are improved, but measurement time and computation time increase significantly

Engineering Contradiction:
Improvemeasurement coverageVSAvoidmeasurement time
Core Design Contradiction:
Adaptability or versatilityVSLoss of time

Solution Approach 1:

The patent applies partial action by selecting only the most informative subset of machine parameters for measurement. Instead of measuring across the full range of available parameters, the system identifies and measures only at specific wavelengths and angles that provide maximum information for the given target structure, thereby reducing measurement time while maintaining characterization capability

Inventive Principle:
Principle #16Partial or excessive action

Solution Approach 2:

The patent uses preliminary action by pre-calculating and storing measurement models for different target configurations before actual measurement. The system prepares lookup tables and reference data in advance, allowing rapid comparison with actual measurements without performing full computations during the measurement process itself

Inventive Principle:
Principle #10Preliminary action

2Adaptability or versatility

If measurements are performed over a large range of machine parameters, then characterization capability is improved, but illumination intensity at any particular wavelength decreases

Engineering Contradiction:
Improvecharacterization capabilityVSAvoidillumination intensity
Core Design Contradiction:
Adaptability or versatilityVSIllumination intensity

Solution Approach 1:

The patent applies local quality by concentrating measurement resources at specific wavelengths and angles where they provide maximum information. Instead of distributing illumination intensity uniformly across a broad spectrum, the system intensifies illumination at selected wavelengths that are most sensitive to the target structure's characteristics, improving signal quality without increasing total energy consumption

Inventive Principle:
Principle #3Local quality

3Adaptability or versatility

If the number of parameters required to characterize complex structures increases, then measurement comprehensiveness is improved, but parameter correlation increases and measurement reliability decreases

Engineering Contradiction:
Improvemeasurement comprehensivenessVSAvoidparameter decoupling reliability
Core Design Contradiction:
Adaptability or versatilityVSReliability

Solution Approach 1:

The patent applies segmentation by dividing the complex measurement problem into separate, independent sub-problems. The measurement process is split into multiple stages: first measuring certain parameters at specific conditions, then using those results to inform subsequent measurements of other parameters. This segmentation reduces parameter correlation by ensuring that each measurement is optimized for its specific parameter rather than trying to measure all parameters simultaneously

Inventive Principle:
Principle #1Segmentation

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

This approach results in more accurate and efficient measurements with reduced computation time, enabling the use of high-intensity light sources within limited wavelength ranges and improving the reliability of structural and material characteristic assessments in semiconductor fabrication processes.

Implementation Method 1

optical radiation to penetrate to the bottom layers

Methodology Applied
Scientific EffectOptical radiation penetration: Light

Implementation Method 2

scatterometry and reflectometry implementations

Methodology Applied
Scientific EffectScatterometry: Scattering

Implementation Method 3

scatterometry and reflectometry implementations

Methodology Applied
Scientific EffectReflectometry: Reflection

Data Source

PatentUS9721055B2Measurement model optimization based on parameter variations across a wafer
Publication Date: 2017.08.01 KLA CORP
  • US9721055B2 patent drawing
  • US9721055B2 patent drawing
  • US9721055B2 patent drawing

AI summary

An optimized measurement model is determined based a model of parameter variations across a semiconductor wafer. A global, cross-wafer model characterizes a structural parameter as a function of location on the wafer. A measurement model is optimized by constraining the measurement model with the cross-wafer model of process variations. In some examples, the cross-wafer model is itself a parameterized model. However, the cross-wafer model characterizes the values of a structural parameter at any location on the wafer with far fewer parameters than a measurement model that treats the structural parameter as unknown at every location. In some examples, the cross-wafer model gives rise to constraints among unknown structural parameter values based on location on the wafer. In one example, the cross-wafer model relates the values of structural parameters associated with groups of measurement sites based on their location on the wafer.