The problem of optical tolerances for systems with absorption.

Area of Science:

• Optical Engineering
• Wavefront Aberrations
• Image Science

Background:

• Traditional aberration tolerance setting often assumes uniform amplitude.
• Nonuniform amplitude in emergent wave fronts presents unique challenges.
• Existing tolerance metrics may not adequately address these nonuniformities.

Purpose of the Study:

• To investigate the setting of aberration tolerances for optical systems.
• To address systems exhibiting nonuniform wave front amplitude.
• To explore methods for deriving tolerances in such systems.

Main Methods:

• Analysis based on the optical transfer function (OTF).
• Consideration of a specified spatial frequency.
• Evaluation of the emergent wave front amplitude distribution.

Main Results:

• Aberration tolerances can be derived using the transfer function for specific spatial frequencies.
• A direct, simple equivalent of Maréchal's tolerances is not universally applicable.
• Definitive limits for aberration tolerances can be established for these systems.

Conclusions:

• The transfer function provides a viable method for setting aberration tolerances with nonuniform amplitude.
• Maréchal's simple tolerance approach is insufficient for all nonuniform amplitude cases.
• Specific, quantifiable limits can be determined, offering practical guidance.