Wave field sensing by means of computational shear interferometry

Area of Science:

• Optics and Photonics
• Image Processing
• Interferometry

Background:

• Speckle fields are prevalent in optical systems, and their complex amplitude contains crucial information.
• Accurate recovery of complex amplitude is essential for various applications, including microscopy and non-destructive testing.
• Existing methods often struggle with noise, limiting their practical utility.

Purpose of the Study:

• To develop a robust method for recovering the complex amplitude of speckle fields.
• To address the limitations of current techniques in handling noisy data.
• To improve the accuracy and reliability of speckle field analysis.

Main Methods:

• Utilizing shear interferometry for data acquisition.
• Employing an objective function optimization approach.
• Implementing the steepest descent gradient technique with a heuristic initial guess.

Main Results:

• Successfully recovered the complex amplitude of speckle fields.
• Demonstrated the algorithm's ability to find a local minimum least-squares solution.
• Showcased robustness against both Poissonian and Gaussian noise.

Conclusions:

• The proposed method offers a significant advancement in speckle field analysis.
• The technique provides reliable complex amplitude recovery even in the presence of significant noise.
• This method has potential applications in various scientific and engineering fields requiring precise optical measurements.