ASME B89.1.8-2011 (2016) — Performance Evaluation of Displacement-Measuring Laser Interferometers

🔬 ASME B89.1.8-2011 (Reaffirmed 2016) is the American National Standard for the performance evaluation of displacement-measuring laser interferometers, prepared by Project Team B89.1.8 under the ASME B89 Dimensional Metrology Committee and approved by ANSI on July 15, 2011. Laser interferometry has become the preferred way to evaluate the linear-displacement accuracy of machine tools and coordinate measuring machines (CMMs) and serves as the core incremental radius-measuring device in systems such as laser trackers. The Standard helps users evaluate the accuracy of laser interferometer systems: it includes a folded common-path comparison test that lets users functionally compare systems even when the lasers use different wavelengths or measurement techniques, provides a measurement uncertainty table for judging an individual measurement or comparing competing systems, and includes best-practice appendices.

💡 Laser interferometry is the “gold standard” for displacement measurement because the laser frequency can be measured against a He–Ne iodine-stabilized laser, and the vacuum laser wavelength — the basic unit of measure — is a direct function of that frequency, combining high accuracy, high bandwidth, portability, and robustness.

1. Scope and General Framework 📌

The body comprises scope, definitions, general considerations for system performance evaluation, test procedure (laser interferometer comparison test), verification of test performance and bias estimation with result uncertainty, measurement evaluation, and references. The definitions section highlights the Abbe offset (schematically shown in Figure 2-1): when the laser measurement axis is laterally offset from the displacement direction, any angular drift is magnified into a displacement error. The test procedure chapter gives recommended target positions (Table 4.2-1), sensitivity coefficients associated with the length difference error LDE (Table 4.7.2-1), and the air-refractive-index wavelength-correction method (Tables 4.8-1 to 4.8-3 for low/medium/high humidity air, with combinations in Table 4.8-4).

⚠️ In interferometric measurement, the air refractive index is the largest environmental error source: changes in temperature, pressure, and humidity change the speed of light in air (and thus the wavelength). Without correction, a 1 °C temperature drift yields on the order of 1 ppm of length error — micrometer-level deviation over meter-class distances.

2. General Considerations for Performance Evaluation 🔧

Section 3 states the general principles: evaluation should separate the instrument’s intrinsic errors (predictable by the manufacturer) from errors introduced by the use environment, and it emphasizes the effect of the structural loop — the mechanical connection among the laser head, optics, and retroreflector forms the measurement loop, and any thermal or mechanical drift enters the measurement. It also warns that when different interferometers use different wavelengths or techniques (AC vs. DC interferometers, see Appendix E), comparing raw readings directly may mask systematic differences, so the folded common-path test is recommended for functional comparison.

3. Comparison Test Method and Technical Requirements 📐

The comparison test is the core procedure: two or more laser interferometer systems are arranged on a shared folded path, the target mirror is moved to the recommended positions of Table 4.2-1, and each system’s reading at every position is recorded. The test should cover the typical range and sampling density of the system under test, and the contributions of components such as the length difference error (LDE) are assessed using the sensitivity coefficients of Table 4.7.2-1. During measurement, temperature, pressure, and humidity are recorded synchronously and the wavelength is corrected per Tables 4.8-1 to 4.8-4. Results are reported in the forms of 4.10-1 to 4.10-3 (intercomparison results, sensor calibration results, and overall result).

Environmental Variable Typical Sensitivity (Ref., 10⁻⁶ order) Correction Note
Air temperature ≈ −0.9 to −1.0 ppm/°C Higher temperature lowers refractive index, lengthens wavelength; correct the displacement reading
Atmospheric pressure ≈ +0.35 ppm/mmHg Higher pressure raises refractive index, shortens wavelength
Relative humidity Low (25 %RH) to high (75 %RH) differ ≈ 0.2–0.3 ppm Water vapor lowers refractive index; Tables 4.8-1–4.8-3 give values
CO₂ content ≈ 0.15 ppm / 100 ppm CO₂ Secondary correction for high-accuracy measurement

4. Uncertainty and Result Evaluation 🎯

Section 5 requires verifying the test itself: estimate the test bias through repeated measurements and confirm the test system is in control, then evaluate the result per the uncertainty table. Section 6 (Measurement Evaluation) gives two sample budgets: Table 6-1 for errors predictable by the manufacturer, and Table 6-2 combining the manufacturer’s reported uncertainty with additional sources (environment, Abbe offset, alignment error, etc.) for a metrology laboratory. Appendix A gives a complete uncertainty budget for interferometric length measurement; Appendix B describes methods for comparing two interferometer systems; and Appendix C collects best procedures and practices for accurate linear measurement with a laser interferometer.

💡 For precise linear measurement, observe three principles: (1) eliminate or minimize the Abbe offset; (2) monitor the environment in real time and correct the refractive index; (3) combine systematic and random errors into a reported uncertainty per the Standard’s budget rather than trusting a “bare reading.”

5. Engineering Practice Essentials 🛠️

  • 🔍 Optical path layout: align the laser measurement axis with the motion axis to shrink the Abbe offset; keep the folding mirror angularly stable.
  • 🔧 Environmental monitoring: use high-resolution thermometers (e.g., 0.1 °C), barometers, and hygrometers to record data synchronously and correct the wavelength per the 4.8 series tables.
  • 📊 Target positions: place measurement points per Table 4.2-1 to cover the full range with adequate density; avoid calibrating only part of the travel.
  • 📋 Retest and reporting: periodically retest the interferometer per Appendix D; report results and uncertainty in the 4.10 series forms and retain environmental logs for audit.

6. Frequently Asked Questions ❓

❓ Q: What is the Abbe offset and why does it matter?
A: The Abbe offset is the lateral distance between the laser measurement axis and the displacement direction. When the measured object has an angular drift, the displacement error equals the angular error times the offset; a larger offset amplifies the error, so it should be eliminated.
❓ Q: Can interferometers of different brands or principles be compared directly?
A: The Standard’s folded common-path comparison test is designed exactly for this — a shared path removes path differences so systems using different wavelengths or AC/DC techniques can be functionally compared; Appendix E discusses AC vs. DC interferometers.
🔍 Q: Why must the wavelength be corrected in air?
A: An interferometer’s raw reading is based on the vacuum wavelength, but in air light slows and the wavelength shortens. Without correction for temperature, pressure, and humidity, a 1 ppm-scale systematic error enters the displacement result, non-negligible over long travels.
❓ Q: How does this Standard relate to machine-tool acceptance standards such as ISO 230?
A: B89.1.8 answers the foundational question of how the interferometer’s own performance and uncertainty are evaluated; the ISO 230 series addresses how machine errors are mapped and assessed. Machine acceptance typically uses an interferometer evaluated per B89.1.8 as the reference.

发表回复

您的邮箱地址不会被公开。 必填项已用 * 标注