Phase recovery technology of a dual-frame phase-shifting interferogram based on first-order norm vector normalization

Area of Science:

• Optical Engineering
• Metrology
• Interferometry

Background:

• Phase recovery is critical for interferometric measurements.
• Existing methods face challenges in precision and efficiency.
• Dual-frame techniques are an area of active research.

Purpose of the Study:

• To develop a high-precision and high-efficiency phase recovery technique.
• To introduce a novel dual-frame phase-shifting interferogram method.
• To evaluate the performance of the proposed method against state-of-the-art techniques.

Main Methods:

• A dual-frame phase-shifting interferogram phase recovery technique is proposed.
• Normalization of the first-order norm is utilized for vector orthogonality.
• Sine and cosine components are constructed from dual-frame interferograms.
• Phase distribution is obtained via arctangent operation.

Main Results:

• The proposed first-order norm normalization method outperforms the second-order norm method.
• The new technique achieves high precision in phase recovery.
• Computational efficiency is significantly improved, at least 50% faster than other methods.

Conclusions:

• The first-order norm normalization method is a highly efficient and precise phase recovery technique.
• This method offers a significant advancement for interferometric applications.
• The proposed technique is suitable for demanding metrology applications requiring speed and accuracy.