Freeform aplanatic reflective imaging systems with several stigmatic pairs.

Area of Science:

• Optical Engineering
• System Design
• Applied Optics

Background:

• Designing aplanatic freeform reflective optical systems with multiple stigmatic pairs presents significant challenges.
• Existing methods often lack a unified approach to achieve these complex optical properties.

Purpose of the Study:

• To introduce a novel mathematical method for designing freeform reflective optical systems.
• To enable the creation of systems that are both aplanatic and possess multiple stigmatic pairs.

Main Methods:

• Merging mathematical expressions from prior works into a unified set.
• Formulating and solving a system of differential equations derived from the merged expressions.

Main Results:

• A new method for designing freeform reflective optical systems is presented.
• An illustrative example demonstrates the successful application of the proposed method.
• The resulting optical system design aligns with the theoretical predictions.

Conclusions:

• The developed method provides a viable approach for designing complex aplanatic freeform reflective optical systems.
• This work contributes to the advancement of optical design by offering a systematic solution for achieving multiple stigmatic pairs.