Stokes Ellipsometry Using SHG for Fast Wafer Polarization Analysis

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Solution Overview

Problem

Conventional ellipsometric methods in semiconductor manufacturing face limitations due to mechanical rotation uncertainties, noise from background light, and slow data acquisition times, which degrade precision and accuracy in characterizing semiconductor wafers.

Innovation Solution

Nonlinear Optical Stokes Ellipsometry (NOSE) utilizes Second Harmonic Generation (SHG) with a femtosecond pulsed laser and an electrically tunable optical retarder to rapidly generate and analyze polarized light without mechanical components, enabling precise and fast characterization of semiconductor wafers.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Adaptability or versatility

If mechanical rotation of polarizing optics is used to generate incident polarization states, then complete polarization analysis can be achieved, but measurement precision deteriorates due to mechanical rotation uncertainties

Engineering Contradiction:
Improvepolarization state generation capabilityVSAvoidpolarization measurement precision
Core Design Contradiction:
Adaptability or versatilityVSMeasurement precision

Solution Approach 1:

The patent replaces mechanical rotation of polarizing optics with electro-optic modulation using a photoelastic modulator (PEM). The PEM uses acoustic vibrations to induce birefringence that modulates polarization states electronically, eliminating mechanical rotation uncertainties and improving measurement precision while maintaining the ability to generate complete polarization states.

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

Solution Approach 2:

The patent changes the control parameter from mechanical rotation angle to electro-optic modulation frequency and amplitude. By controlling the PEM with specific acoustic frequencies and voltages, different polarization states are generated through parameter modulation rather than mechanical movement, achieving both precision and versatility.

Inventive Principle:
Principle #35Parameter changes

2Loss of information

If broadband incoherent light is used for spectroscopic ellipsometry, then spectral information is obtained, but noise from background light increases

Engineering Contradiction:
Improvespectral information retentionVSAvoidbackground light noise
Core Design Contradiction:
Loss of informationVSObject-affected harmful factors

Solution Approach 1:

The patent uses continuous wave (CW) laser light instead of broadband incoherent light, maintaining continuous illumination while eliminating the spectral complexity that causes background noise. The CW laser provides stable, monochromatic light that reduces background interference while still enabling complete polarization analysis through the PEM modulation.

Inventive Principle:
Principle #20Continuity of useful action

Solution Approach 2:

The patent extracts only the necessary spectral information by using a tunable CW laser that can be adjusted to specific wavelengths of interest, rather than using broadband light that contains all wavelengths. This selective wavelength approach removes unnecessary spectral components that contribute to background noise while retaining the ability to obtain spectral information when needed.

Inventive Principle:
Principle #2Taking out (Extraction)

3Productivity

If continuous wave laser light is used for single wavelength ellipsometry, then measurement speed improves, but measurement precision deteriorates due to lack of spectral information

Engineering Contradiction:
Improvedata acquisition speedVSAvoidoptical property characterization precision
Core Design Contradiction:
ProductivityVSMeasurement precision

Solution Approach 1:

The patent combines CW laser speed with PEM electro-optic modulation to achieve fast polarization analysis. The PEM rapidly modulates the polarization states at high frequencies (e.g., 50 kHz), enabling quick acquisition of complete polarization data without mechanical rotation, thus maintaining both speed and precision.

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

Solution Approach 2:

The patent uses periodic modulation of the polarization states through the PEM at high frequencies. This periodic action allows rapid cycling through multiple polarization states, enabling fast data acquisition while the periodic nature provides well-defined measurement points that maintain precision through consistent, repeatable modulation cycles.

Inventive Principle:
Principle #19Periodic action

4Adaptability or versatility

If mechanical rotation of polarizing optics is used, then polarization analysis is performed, but data acquisition time increases due to slow mechanical movement

Engineering Contradiction:
Improvepolarization analysis capabilityVSAvoiddata acquisition time
Core Design Contradiction:
Adaptability or versatilityVSLoss of time

Solution Approach 1:

The patent replaces slow mechanical rotation with fast electro-optic modulation using the PEM. The PEM can modulate polarization states at frequencies up to hundreds of kHz, reducing data acquisition time from seconds to milliseconds while maintaining the full capability to analyze all polarization states through electronic control.

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

Solution Approach 2:

The patent employs high-frequency periodic modulation of polarization states through the PEM, cycling rapidly through the required polarization configurations. This periodic action at high frequencies enables complete polarization analysis to be completed in a fraction of the time required by mechanical rotation, significantly reducing data acquisition time.

Inventive Principle:
Principle #19Periodic 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

NOSE provides high precision, accuracy, and speed in determining optical properties of semiconductor wafers, allowing for fast and accurate characterization of integrated circuits and defects with improved spectral specificity and reduced noise.

Implementation Method 1

Nonlinear Optical Stokes Ellipsometry (NOSE) utilizes Second Harmonic Generation (SHG) with a femtosecond pulsed laser

Methodology Applied
Scientific EffectSecond Harmonic Generation: Second Harmonic Generation

Implementation Method 2

an electrically tunable optical retarder to rapidly generate and analyze polarized light

Methodology Applied
Scientific EffectOptical Retardation: Birefringence

Data Source

PatentUS20250224327A1Nonlinear optical stokes ellipsometers
Publication Date: 2025.07.10 FEMTOMETRIX INC
  • US20250224327A1 patent drawing
  • US20250224327A1 patent drawing
  • US20250224327A1 patent drawing

AI summary

Described herein are methods and systems for measuring polarization states of nonlinearly generated light by a sample illuminated in response to receiving an incident beam having a known polarization state to determine a characteristic of the sample. The system includes an optical ellipsometer configured to be included in-line of a semiconductor fabrication line and generate measured signals proportional to different polarization parameters of second-harmonic light nonlinearly generated light by the sample, allowing determination of a complete polarization state of the second harmonic light using a characteristic of the sample is determined.