Efficient reconstruction of two-dimensional complex amplitudes utilizing the redundancy of the ambiguity function

Area of Science:

• Optics
• Information Optics
• Computational Optics

Background:

• A prior method reconstructed 2D complex amplitudes using ambiguity functions from 1D intensity scans.
• The previous technique employed two optical setups with cylindrical lenses.

Purpose of the Study:

• To enhance the efficiency of 2D complex amplitude reconstruction.
• To minimize phase reconstruction errors using the ambiguity function's redundancy.
• To demonstrate experimental validation of the improved method.

Main Methods:

• Utilizing the internal redundancy of the ambiguity function.
• Applying an appropriate algorithm to minimize phase errors.
• Performing experimental reconstruction of a 2D phase element.

Main Results:

• Improved efficiency in reconstructing 2D complex amplitudes.
• Significant minimization of phase reconstruction errors.
• Successful experimental demonstration of the enhanced method.

Conclusions:

• The internal redundancy of the ambiguity function offers a pathway to more efficient optical reconstruction.
• The developed algorithm effectively reduces phase errors.
• The experimental results confirm the viability of this enhanced approach for phase element reconstruction.