Transient Digital Moire Phase-Shifting Interferometry for Optical Surface Shape

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Solution Overview

Problem

The two-step carrier splicing method for digital moire phase-shifting interferometry sacrifices instantaneous vibration resistance for expanded measurement range, limiting its application in high-precision surface shape measurement of optical elements.

Innovation Solution

A transient digital moire phase-shifting interferometric measuring device utilizing polarization gratings to simultaneously load two spatial carriers, allowing for instantaneous anti-vibration characteristics while expanding the measurement range by generating two interference patterns with different frequencies, eliminating the need for sequential interferogram acquisition.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Manufacturing precision

If the two-step carrier splicing method is used to expand measurement range, then the residual wavefront bandwidth is improved, but the instantaneous anti-vibration characteristics are lost

Engineering Contradiction:
Improvemeasurement rangeVSAvoidinstantaneous anti-vibration characteristics
Core Design Contradiction:
Manufacturing precisionVSReliability

Solution Approach 1:

The patent merges two spatial carriers (first spatial carrier and second spatial carrier) into a single composite spatial carrier that contains both carriers simultaneously. This allows two interferograms to be acquired at the same time in one exposure, rather than requiring separate acquisitions. The composite spatial carrier is formed by superimposing the first spatial carrier and the second spatial carrier, enabling simultaneous measurement of different carrier frequencies while maintaining instantaneous anti-vibration characteristics.

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

The patent introduces a new dimension to the spatial carrier by creating a composite carrier that operates in a higher-dimensional space containing multiple carrier frequencies. Instead of sequentially applying carriers in time (one-dimensional approach), the invention applies multiple carriers simultaneously in frequency space (multi-dimensional approach), allowing parallel acquisition of interferograms with different carriers while maintaining temporal coherence for vibration resistance.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

2Reliability

If traditional digital moire phase-shifting interferometry is used, then instantaneous anti-vibration characteristics are maintained, but the residual wavefront bandwidth is limited

Engineering Contradiction:
Improveinstantaneous anti-vibration characteristicsVSAvoidresidual wavefront bandwidth
Core Design Contradiction:
ReliabilityVSManufacturing precision

Solution Approach 1:

The patent combines multiple spatial carriers into a single composite spatial carrier that enables simultaneous acquisition of multiple interferograms. By merging the first spatial carrier and second spatial carrier into one composite carrier, the system achieves expanded measurement range equivalent to traditional phase-shifting interferometry while maintaining the instantaneous anti-vibration capability of digital moire methods.

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

The composite spatial carrier serves multiple functions simultaneously: it provides both the first spatial carrier and second spatial carrier information in a single structure, enabling the system to achieve both the instantaneous anti-vibration characteristics and the expanded measurement range. This multi-functional carrier resolves the contradiction by making a single element perform what previously required multiple separate operations.

Inventive Principle:
Principle #6Universality (Multi-functionality)

3Manufacturing precision

If sequential interferogram acquisition is used, then measurement range is expanded, but measurement time increases and vibration resistance is compromised

Engineering Contradiction:
Improvemeasurement rangeVSAvoidmeasurement time
Core Design Contradiction:
Manufacturing precisionVSLoss of time

Solution Approach 1:

The patent merges the acquisition of multiple interferograms into a single simultaneous measurement by using a composite spatial carrier. Instead of acquiring interferograms sequentially (first interferogram, then second interferogram), the system acquires both interferograms at the same time in one exposure, dramatically reducing measurement time and eliminating the vulnerability to vibrations between sequential measurements.

Inventive Principle:
Principle #5Merging (Combining)

Solution Approach 2:

The patent ensures continuous acquisition of all necessary interferogram data in a single uninterrupted measurement cycle. By using the composite spatial carrier to encode multiple carriers simultaneously, the system maintains continuous measurement action without interruption or sequential steps, thereby eliminating time loss and maintaining vibration resistance throughout the measurement process.

Inventive Principle:
Principle #20Continuity of useful 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

This approach enhances measurement accuracy and retains instantaneous anti-vibration characteristics, effectively expanding the measurement range of digital moire phase-shifting methods to match traditional phase-shifting interferometry, reducing error sources and improving precision.

Implementation Method 1

Polarization grating is a diffractive optical element which realizes selective light splitting based on the polarization state of incident light. The diffraction angle depends on the spatial period of the grating.

Methodology Applied
Scientific EffectDiffraction: Diffraction

Implementation Method 2

Polarization grating is a diffractive optical element which realizes selective light splitting based on the polarization state of incident light. When the incident light of the polarization grating is linearly polarized light, its outgoing light is +1st order diffracted light and -1st order diffracted light

Methodology Applied
Scientific EffectPolarization: Polarisation

Implementation Method 3

Transient digital moire phase-shifting interferometric measuring device and method for the surface shape of an optical element. Digital moire phase-shifting interferometry is an aspheric surface detection method

Methodology Applied
Scientific EffectInterference: Interference

Data Source

PatentUS12018930B2Transient digital moire phase-shifting interferometric measuring device and method for the surface shape of an optical element
Publication Date: 2024.06.25 BEIJING INST OF TECH
  • US12018930B2 patent drawing

AI summary

A transient digital moire phase-shifting interferometric measuring device and method for a surface shape of an optical element solves a defect that an instantaneous vibration resistance needs to be sacrificed for a measurement range when using a two-step carrier splicing method, and expands the measurement range of a digital moire phase-shifting method while retaining instantaneous anti vibration characteristics of the digital moire phase-shifting method. The transient digital moire phase-shifting interferometric measuring device includes a light source, a beam splitter, a reference lens, a first polarization grating, a measured lens, a second polarization grating, a first imaging objective lens, a first camera, a second imaging objective lens and a second camera. Different carriers are loaded through a spectral performance of a polarization grating, and the polarization grating is used to separate two beams of an interference light, and two actual interference patterns are obtained at a same time.