Simplified ray tracing in cylindrical systems

Area of Science:

• Optics and Photonics
• Optical Engineering
• Computational Optics

Background:

• Traditional ray tracing in complex optical systems can be computationally intensive.
• Cylindrical optical systems present unique challenges for standard ray tracing algorithms.

Purpose of the Study:

• To develop a simplified and efficient method for ray tracing in cylindrical optical systems.
• To adapt conventional 2-D ray tracing techniques for use with arbitrary cross-sections.

Main Methods:

• A novel projection technique is introduced, mapping a 3-D ray path onto a 2-D cross-sectional plane.
• The projected path is shown to follow a generalized form of Snell's law.
• Conventional 2-D ray tracing algorithms are applied to the projected path.

Main Results:

• The simplified method accurately traces rays in cylindrical optical systems.
• The generalized Snell's law provides a foundation for the 2-D projection method.
• The optical characteristics of a prism light guide were successfully demonstrated using this approach.

Conclusions:

• The developed method offers a significant simplification for analyzing cylindrical optical systems.
• This technique facilitates the application of established 2-D ray tracing tools to complex 3-D geometries.
• The approach is validated by its successful application to a novel prism light guide design.