Generalized Van Cittert-Zernike Schell propagator: an efficient algorithm for simulating partially coherent light.

Area of Science:

• Optics and Photonics
• Computational Physics
• Wave Propagation Modeling

Background:

• Modeling partially spatially coherent light diffraction is crucial for advanced optical applications.
• Existing methods can be computationally intensive, limiting their practical use in fields like computer-generated holography (CGH) and digital holography (DH).

Purpose of the Study:

• To develop an efficient and accurate wave propagation algorithm for partially spatially coherent light.
• To enhance computational speed and precision in holographic techniques.

Main Methods:

• The algorithm employs the Van Cittert-Zernike theorem to determine the complex coherence factor.
• It utilizes the generalized Schell's theorem for diffraction pattern computation.
• Numerical propagation is achieved through fast Fourier transforms, integrating with existing coherent propagators.

Main Results:

• Achieved speed improvements of up to two orders of magnitude compared to sample-based methods.
• Demonstrated accuracy improvements of up to three orders of magnitude.
• The method is applicable to any propagation distance, not restricted to the far field.

Conclusions:

• The presented algorithm offers a significant advancement in modeling partially spatially coherent light diffraction.
• It provides substantial computational and accuracy benefits for computer-generated holography and digital holography.
• The algorithm's flexibility and efficiency make it a valuable tool for optical system design and simulation.