Estimation of multiple phases from a single fringe pattern in digital holographic interferometry

Area of Science:

• Optics and Photonics
• Metrology
• Deformation Measurement

Background:

• Digital holographic interferometry (DHI) is crucial for measuring multidimensional displacements.
• Accurate estimation of multiple interference phase distributions from DHI is challenging.
• Existing methods often require complex spatial carrier filtering.

Purpose of the Study:

• To introduce an efficient method for simultaneous estimation of multiple interference phases from a single fringe pattern in DHI.
• To overcome limitations of traditional phase retrieval techniques in multidimensional displacement measurements.
• To enable direct retrieval of multiple phases without spatial carrier filtering.

Main Methods:

• Modeling the reconstructed interference field as a piecewise multicomponent polynomial phase signal.
• Estimating polynomial coefficients using the product high-order ambiguity function.
• Employing an amplitude-based discrimination criterion for component matching.

Main Results:

• Successful simultaneous estimation of multiple phases from a single fringe pattern.
• Demonstration of direct phase retrieval without spatial carrier filtering.
• Accurate measurement of multidimensional displacements enabled by the novel method.

Conclusions:

• The proposed method offers an elegant and efficient solution for phase retrieval in DHI.
• It simplifies the process of measuring multidimensional displacements.
• This technique enhances the applicability of digital holographic interferometry in various scientific and engineering fields.