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Relationships between the generalized functional method and other methods of nonimaging optical design
1Science Applications International Corporation, 10260 Campus Point Drive, San Diego, California 92121, USA. john.c.bortz@saic.com
Applied Optics
|April 5, 2011
Summary
The generalized functional method offers a new way to design optical systems for extended sources. This method encompasses edge-ray and aplanatic designs, and offers advantages when combined with simultaneous multiple surface designs.
Area of Science:
- Optical engineering
- Geometric optics
- Illumination design
Background:
- Nonimaging optical systems are crucial for applications involving extended sources and receivers.
- Existing design methods like edge-ray, aplanatic, and simultaneous multiple surface (SMS) have limitations.
- A novel generalized functional method has been developed for optical design.
Purpose of the Study:
- To explore the mathematical relationships between the generalized functional method and other optical design techniques.
- To demonstrate that edge-ray and aplanatic designs are special cases of the generalized functional method.
- To investigate the relationship between the generalized functional method and SMS designs and identify potential computational benefits.
Main Methods:
- Mathematical analysis of optical design principles.
- Comparison of design methodologies: generalized functional, edge-ray, aplanatic, and SMS.
- Illustrative examples of optical designs generated by the methods.
Main Results:
- Edge-ray and dual-surface aplanatic designs are identified as specific instances of the generalized functional method.
- Dual-surface SMS designs are shown to be closely related to generalized functional designs.
- Combining generalized functional and SMS methods offers computational advantages.
Conclusions:
- The generalized functional method provides a unifying framework for several existing optical design techniques.
- This method simplifies the design of nonimaging concentrators and luminaires.
- Integration with SMS methods enhances computational efficiency in optical design.
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