Noise-robust multi-fringe decomposition for high-precision wavefront measurement in dual-lateral shearing...

Area of Science:

• Optical Metrology
• Interferometry
• Wavefront Sensing

Background:

• Dual-lateral shearing interferometry is crucial for precise optical measurements.
• Conventional methods struggle with mode aliasing and noise, limiting accuracy.
• Decomposing superimposed fringe patterns while maintaining phase integrity is a significant challenge.

Purpose of the Study:

• To develop a single-frame multi-fringe decomposition algorithm for dual-lateral shearing interferometry.
• To suppress mode aliasing and reduce interferogram noise.
• To improve wavefront reconstruction accuracy and computational efficiency.

Main Methods:

• A novel single-frame multi-fringe decomposition algorithm was developed.
• Numerical simulations were conducted to compare performance against conventional methods.
• Experimental validation was performed using a deformable mirror monitoring system.

Main Results:

• The algorithm effectively suppresses mode aliasing and reduces interferogram noise.
• Wavefront reconstruction errors were significantly reduced compared to conventional methods.
• Experimental results showed peak-to-valley (PV) error below 0.3 µm and root-mean-square (RMS) error below 0.07 µm, a 55% and 52% improvement, respectively.

Conclusions:

• The proposed algorithm offers superior performance in dual-lateral shearing interferometry.
• It provides high precision and practical advantages for real-time wavefront analysis.
• The technique is suitable for advanced optical metrology systems requiring efficient and robust measurements.