Far field calculation of distorted Gaussian beams

Area of Science:

• Optical Engineering
• Computational Physics

Background:

• Far-field calculations are crucial in optical engineering for beam analysis.
• Existing beam propagation methods face limitations in storage and range parameters.
• Distorted Gaussian beams present challenges for current simulation techniques.

Purpose of the Study:

• To introduce a novel beam propagation method for accurate far-field calculations.
• To address the limitations of current methods concerning storage requirements and range parameters.
• To enable simulations for distorted Gaussian beams in homogeneous media with optical elements.

Main Methods:

• Factoring out the phase of the Gaussian TEM00 beam.
• Solving the resulting partial differential equation.
• Utilizing finite difference or finite element discretization methods.

Main Results:

• The new method successfully performs far-field calculations for distorted Gaussian beams.
• It overcomes high storage requirements associated with traditional algorithms.
• The technique is effective for large distances from the observation plane to the beam waist.
• It accommodates larger divergence angles.

Conclusions:

• The presented method offers a robust solution for far-field beam propagation.
• It enhances computational efficiency and accuracy in optical engineering simulations.
• This approach is suitable for complex scenarios involving distorted beams and optical elements.