Frequency selection in absolute phase maps recovery with two frequency projection fringes

Area of Science:

• Optical metrology
• Phase retrieval algorithms

Background:

• Previous work introduced a technique for absolute phase map recovery using two fringe patterns with different spatial frequencies.
• The prior study lacked guidelines for selecting appropriate frequency pairs and did not address the technique's anti-noise performance.

Purpose of the Study:

• To present theoretical rules for selecting spatial frequencies in the absolute phase recovery technique.
• To formulate and evaluate the anti-noise capability of the technique for given frequencies.

Main Methods:

• Theoretical analysis was employed to establish rules for frequency selection.
• The anti-noise capability was mathematically formulated and experimentally assessed.

Main Results:

• Guidelines for selecting optimal spatial frequency pairs were derived.
• The anti-noise performance of the absolute phase recovery technique was quantified.

Conclusions:

• The study provides a theoretical framework for frequency selection in phase retrieval.
• Experimental validation confirms the derived rules and anti-noise performance evaluation.