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A Spectral Confocal Measurement Method for High-Aspect-Ratio Deep Holes Based on Stepped Ring Gauge and Hierarchical
Yao Liu1,2, Gui Wang3, Daguo Yu1,2
1School of Mechanical Engineering, North University of China, Taiyuan 030051, China.
Sensors (Basel, Switzerland)
|June 12, 2026
Summary
This study presents a new spectral confocal deep-hole measurement method using global calibration and hierarchical error compensation. The technique significantly improves accuracy and repeatability for high-aspect-ratio deep holes.
Area of Science:
- Metrology
- Optical Measurement
- Precision Engineering
Background:
- Spectral confocal microscopy faces challenges in deep-hole measurement, including uneven accuracy and profile distortion due to multi-source errors.
- Existing methods struggle to address geometric deviation, structural error, and dynamic process error comprehensively.
Purpose of the Study:
- To develop and validate a novel measurement method for spectral confocal deep-hole metrology.
- To enhance accuracy and repeatability in measuring deep holes with large length-to-diameter ratios.
- To provide a robust technical foundation for high-precision non-destructive testing of deep holes.
Main Methods:
- A hierarchical compensation system is proposed: "geometric calibration-structural correction-dynamic filtering".
- Global calibration uses a stepped ring gauge and the Levenberg-Marquardt (LM) algorithm to identify geometric parameters.
- Structural errors are corrected using a statics model, while periodic harmonic errors and random noise are filtered using least-squares harmonic fitting and adaptive wavelet threshold filtering.
Main Results:
- The method limits maximum absolute deviation in inner diameter measurement to within 0.2 μm.
- Measurement repeatability for deep holes (length-to-diameter ratio > 30:1) is stabilized between 0.8-1.6 μm.
- Expanded uncertainty is U = 3.8 μm (k = 2), enabling precise reconstruction of inner wall topography.
Conclusions:
- The proposed method effectively compensates for multi-source errors in spectral confocal deep-hole measurement.
- It achieves high precision and repeatability for deep holes with large aspect ratios.
- This technique offers a versatile solution for non-destructive testing of critical deep-hole components.
