Fresnel-Gaussian shape invariant for optical ray tracing

Area of Science:

• Optics and Photonics
• Computational Physics

Background:

• Traditional ray tracing methods can be computationally intensive.
• Simulating light propagation through complex optical media requires accurate modeling.

Purpose of the Study:

• To develop an efficient and accurate ray tracing technique.
• To leverage Gaussian beam propagation for optical simulations.

Main Methods:

• Utilizing a Gaussian shape invariant under the Fresnel diffraction integral.
• Employing two independent terms to control ray direction.
• Establishing that the propagated Gaussian beam center aligns with the incident beam's geometric projection.

Main Results:

• Demonstrated accurate ray tracing through lenses.
• Successfully simulated rays in optical media with position-dependent refractive indices.
• Validated the technique through computer simulations.

Conclusions:

• The proposed Gaussian beam propagation technique offers an effective approach for ray tracing.
• This method provides a robust tool for analyzing light paths in diverse optical scenarios.