Efficient calculation of highly focused electromagnetic Schell-model beams.

Area of Science:

• Optics and Photonics
• Computational Electromagnetics

Background:

• Calculating the propagation of partially coherent and partially polarized optical beams typically requires computationally intensive 4D Fourier Transforms.
• Current computational resources can be a limitation for complex optical beam propagation simulations.

Purpose of the Study:

• To propose an efficient computational procedure for retrieving the irradiance of electromagnetic Schell-model highly focused beams.
• To reduce the computational complexity associated with optical beam propagation calculations.

Main Methods:

• Leveraging the separability of electromagnetic Schell-model beams.
• Computing the cross-spectral density matrix using 2D Fourier Transforms instead of 4D.
• Analyzing numerical complexity and computation time against existing algorithms.

Main Results:

• The proposed method significantly reduces computational requirements by utilizing 2D Fourier Transforms.
• The number of operations is independent of the beam's coherence properties, depending only on input pixels.
• The efficiency of the algorithm is demonstrated through analysis and comparison with other methods.

Conclusions:

• The developed procedure offers a more efficient and accessible way to calculate the propagation of specific optical beams.
• This advancement can facilitate more complex simulations and analyses in optical engineering and research.
• The method provides a practical solution to overcome computational limitations in optical beam propagation studies.