Split step solution in the iteration of the beam propagation method for analyzing Bragg gratings

Area of Science:

• Optics and Photonics
• Computational Physics

Background:

• Volume Bragg gratings are crucial optical elements.
• Analyzing laser beam reflection requires robust numerical methods.
• Existing methods face challenges with strong or non-uniform gratings.

Purpose of the Study:

• To adapt the split step method for analyzing laser beam reflection from volume Bragg gratings.
• To develop an accurate and efficient computational approach for finite beams.
• To extend analysis capabilities to gratings with large strengths and non-uniform structures.

Main Methods:

• Application of the split step method to the beam propagation method.
• Proper treatment of grating coupling terms within paraxial wave equations.
• Iterative numerical simulation of laser beam-grating interaction.

Main Results:

• Demonstrated accuracy, efficiency, and robustness of the modified split step method.
• Successful analysis of finite laser beams interacting with volume Bragg gratings.
• Capability to simulate gratings with large grating strengths and non-uniform profiles.

Conclusions:

• The modified split step method provides an accurate and efficient tool for volume Bragg grating analysis.
• This approach enhances the simulation of laser beam reflection in complex grating scenarios.
• The method is suitable for a wider range of practical optical engineering applications.