Implementation of sine condition test to measure optical system misalignments

Sara Lampen; Matthew Dubin; James H. Burge

doi:10.1364/AO.50.006391

Applied Optics
Vol. 50,
Issue 34,
pp. 6391-6398
(2011)
•https://doi.org/10.1364/AO.50.006391

Implementation of sine condition test to measure optical system misalignments

Sara Lampen, Matthew Dubin, and James H. Burge

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Sara Lampen, Matthew Dubin, and James H. Burge, "Implementation of sine condition test to measure optical system misalignments," Appl. Opt. 50, 6391-6398 (2011)

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Abstract

Rather than measuring aberrations across the field to quantify the alignment of an optical system, we show how a single, on-axis measurement of the pupil mapping can be used to measure the off-axis performance of the system and determine the state of alignment. In this paper we show how the Abbe sine condition can be used to relate the mapping between the entrance and exit pupils to image aberrations that have linear field dependence. This mapping error then can be used to measure the linear astigmatism caused by the misalignment. Additionally, we present experimental results from the sine condition test on a simple system.

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Corrections

Sara Lampen, Matthew Dubin, and James H. Burge, "Implementation of sine condition test to measure optical system misalignments: erratum," Appl. Opt. 52, 8518-8518 (2013)
https://opg.optica.org/ao/abstract.cfm?uri=ao-52-35-8518

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Aberration	Orders	Measured (nm rms)	Predicted (nm rms)	Difference (nm rms)	Percent Error
Coma	first	0.120	0.114	0.006	4.7%
	third	0.360	0.340	0.020	5.5%
	fifth	0.669	0.554	0.115	17.2%
Astigmatism	first	0.066	used for fitting
	third	0.194	0.202	$- 0.008$	$- 3.9 %$
	fifth	0.355	0.348	0.007	1.9%
Power	first	$- 0.051$	used for fitting
	third	$- 0.150$	$- 0.156$	0.006	$- 3.9 %$
	fifth	$- 0.271$	$- 0.269$	$- 0.002$	0.6%
Tilt	first	0.300	used for fitting
	third	0.925	0.820	0.105	11.3%
	fifth	4.150	4.081	0.069	1.7%

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Applied Optics