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Imaging with three spherical mirrors.

J M Howard¹, B D Stone

¹Institute of Optics, University of Rochester, Rochester, New York 14627, USA.

|March 20, 2008

Summary

This summary is machine-generated.

This study investigates three-mirror systems, simplifying their design by reducing parameters. It presents example designs for infinite and finite conjugate systems, aiding optical engineers.

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Area of Science:

Optical engineering
System design
Spherical optics

Background:

Plane-symmetric systems with three spherical mirrors require twelve parameters for configuration.
Existing methods may not fully optimize complex optical systems.

Purpose of the Study:

To investigate unobstructed, plane-symmetric systems of three spherical mirrors.
To reduce the number of independent parameters for system configuration.
To aid in the design of specific optical systems.

Main Methods:

Determining constraints to eliminate four independent degrees of freedom.
Applying these constraints to first-order behavior.
Conducting design studies for infinite and finite conjugate projection systems.
Utilizing merit-function evaluation and global optimization techniques.

Main Results:

A systematic evaluation of merit-function space for infinite conjugate systems.
Comparison of systematic evaluation with global optimizer results.
Successful application of a global optimizer for finite conjugate projection systems.
Presentation of example systems from both design studies.

Conclusions:

The developed constraints effectively simplify the design of three-spherical-mirror systems.
Both systematic evaluation and global optimization are viable methods for designing such systems.
The study provides practical examples for optical engineers designing projection systems.