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Paraxial ray-tracing equations for optical systems containing triangular prisms.

Psang Dain Lin, Chung-Yu Tsai

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|March 2, 2017

Summary

This summary is machine-generated.

This study introduces simplified 3x3 matrix equations for tracing paraxial rays in prism-based optical systems. The new method accurately analyzes non-axially symmetrical systems, offering a practical tool for optical design.

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Area of Science:

Optics
Optical Engineering
Computational Optics

Background:

Conventional paraxial ray-tracing methods are insufficient for complex optical systems like multiple-dispersion-prism systems.
Existing methods lack applicability for non-axially symmetrical optical designs.

Purpose of the Study:

To simplify existing paraxial ray-tracing equations for optical systems containing triangular prisms.
To develop a practical and accurate method for analyzing paraxial rays in non-axially symmetrical optical systems.

Main Methods:

Simplification of previously published equations into 3x3 matrix form.
Application of the matrix equations to trace paraxial rays through optical systems with prisms.
Validation through four numerical examples.

Main Results:

The proposed 3x3 matrix equations accurately trace paraxial rays in optical systems with triangular prisms.
The method is validated for both triangular and rectangular prisms in non-axially symmetrical configurations.
The simplified equations provide a convenient analysis tool.

Conclusions:

The developed 3x3 matrix approach offers a significant improvement for analyzing paraxial rays in prism-based optical systems.
This method enhances the design and analysis of non-axially symmetrical optical systems.
The findings provide a practical and efficient tool for optical engineers.