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Area of Science:

Optical Metrology
Interferometry
Experimental Mechanics

Background:

Multi-aperture speckle shear interferometry is a technique used for measuring in-plane displacement.
The sensitivity of this technique is known to be influenced by the placement of the shear element within the aperture.
Understanding this positional dependence is crucial for accurate displacement measurements.

Purpose of the Study:

To investigate the influence of shear element location on the in-plane displacement sensitivity of multi-aperture speckle shear interferometry.
To compare the performance of two distinct multi-aperture configurations with varying shear element positions.

Main Methods:

Theoretical analysis of multi-aperture speckle shear interferometry.
Experimental validation using two specific three-aperture configurations.
Systematic examination of the interferometer's response to in-plane displacement for each configuration.

Main Results:

The response of the interferometer to in-plane displacement is demonstrably dependent on the shear element's location within the aperture.
Distinct sensitivities were observed between the two examined configurations, highlighting the impact of shear element positioning.
Experimental results align with theoretical predictions, validating the analysis.

Conclusions:

The positioning of the shear element in multi-aperture speckle shear interferometry significantly affects its sensitivity to in-plane displacement.
Careful selection of aperture and shear element configuration is essential for optimizing measurement accuracy.
This study provides valuable insights for the design and application of advanced interferometric techniques.