Implementation of sine condition test to measure optical system misalignments

Area of Science:

• Optical Engineering
• Metrology
• System Alignment

Background:

• Quantifying optical system alignment traditionally involves measuring aberrations across the entire field of view.
• Off-axis performance assessment is crucial for understanding real-world system behavior but can be complex.
• Misalignment in optical systems often leads to specific aberrations, such as linear astigmatism.

Purpose of the Study:

• To introduce a simplified method for measuring optical system alignment using only on-axis pupil mapping.
• To demonstrate how the Abbe sine condition can link pupil mapping errors to off-axis aberrations.
• To provide experimental validation of the proposed technique.

Main Methods:

• Utilizing the Abbe sine condition to correlate entrance and exit pupil mapping with image aberrations.
• Measuring pupil mapping on-axis to infer off-axis performance and system alignment state.
• Performing experimental tests on a simple optical system to verify the sine condition test.

Main Results:

• A single, on-axis pupil mapping measurement effectively quantifies off-axis performance.
• The Abbe sine condition accurately relates pupil mapping errors to linear field-dependent aberrations like astigmatism.
• Experimental results confirm the feasibility and accuracy of the sine condition test for alignment determination.

Conclusions:

• On-axis pupil mapping is a viable and efficient alternative to full-field aberration measurements for assessing optical system alignment.
• The Abbe sine condition provides a theoretical basis for using pupil mapping to detect misalignment-induced astigmatism.
• This technique offers a practical approach for quality control and performance evaluation in optical systems.