Moir&#x00E9;&#x2013;Ronchigram analysis applied in the characterization of aberration surfaces and optical surface parameters from 3D wavefronts

J. A. Arriaga-Hernández; B. T. Cuevas-Otahola; A. Jaramillo-Núñez; J. Oliveros-Oliveros

doi:10.1364/AO.58.005976

Applied Optics
Vol. 58,
Issue 22,
pp. 5976-5981
(2019)
•https://doi.org/10.1364/AO.58.005976

Moiré–Ronchigram analysis applied in the characterization of aberration surfaces and optical surface parameters from 3D wavefronts

J. A. Arriaga-Hernández, B. T. Cuevas-Otahola, A. Jaramillo-Núñez, and J. Oliveros-Oliveros

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J. A. Arriaga-Hernández, B. T. Cuevas-Otahola, A. Jaramillo-Núñez, and J. Oliveros-Oliveros, "Moiré–Ronchigram analysis applied in the characterization of aberration surfaces and optical surface parameters from 3D wavefronts," Appl. Opt. 58, 5976-5981 (2019)

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Abstract

In this work, we propose the construction of the Moiré-Ronchigram as a pattern obtained from simple Ronchigrams, superposed and with a slight degree of rotation, to obtain a 3D wavefront. The aberrations in the obtained wavefront are fitted to the aberration Zernike polynomial of degree 12 in order to obtain a polynomial expression of a high degree of efficiency, which is subsequently compared with the general equation of quadrics (considering the coefficients accordingly) to obtain essential parameters (as focus, eccentricity, or $F$ number) that allow us to understand and manipulate the optical elements under test optimally. Finally, we compare our results analyzing optical surfaces to make a weak statistic of our proposed method.

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e% [mm]	Surface
Comparison	1	2	3	4	5
Fringes XP	$6.868 \times 10^{- 7}$	$5.873 \times 10^{- 6}$	$2.067 \times 10^{- 4}$	$6.984 \times 10^{- 3}$	$1.003 \times 10^{- 7}$
Open Fringes	$5.104 \times 10^{- 5}$	$8.932 \times 10^{- 5}$	$5.075 \times 10^{- 3}$	$0.899 \times 10^{- 2}$	$2.859 \times 10^{- 6}$
APEX	$8.209 \times 10^{- 9}$	$3.296 \times 10^{- 10}$	$3.116 \times 10^{- 8}$	$3.001 \times 10^{- 5}$	$8.932 \times 10^{- 9}$

Error [mm]	Surface
E%	1	2	3	4	5
Eccentricity	0.15	0.095	0.239	1.502	0.1
cc	0.0235	0.0145	0.1092	2.025	0.412
Focus	0.0199	0.0102	0.152	0.991	0.201
F number	0.0315	0.0215	0.2015	1.042	0.224

e% [mm]	Surface
Comparison	1	2	3	4	5
Fringes XP	$6.868 \times 10^{- 7}$	$5.873 \times 10^{- 6}$	$2.067 \times 10^{- 4}$	$6.984 \times 10^{- 3}$	$1.003 \times 10^{- 7}$
Open Fringes	$5.104 \times 10^{- 5}$	$8.932 \times 10^{- 5}$	$5.075 \times 10^{- 3}$	$0.899 \times 10^{- 2}$	$2.859 \times 10^{- 6}$
APEX	$8.209 \times 10^{- 9}$	$3.296 \times 10^{- 10}$	$3.116 \times 10^{- 8}$	$3.001 \times 10^{- 5}$	$8.932 \times 10^{- 9}$

Error [mm]	Surface
E%	1	2	3	4	5
Eccentricity	0.15	0.095	0.239	1.502	0.1
cc	0.0235	0.0145	0.1092	2.025	0.412
Focus	0.0199	0.0102	0.152	0.991	0.201
F number	0.0315	0.0215	0.2015	1.042	0.224

J. A. Arriaga-Hernández	https://orcid.org/0000-0001-8059-9399
B. T. Cuevas-Otahola	https://orcid.org/0000-0002-1046-1500
A. Jaramillo-Núñez	https://orcid.org/0000-0002-1995-9743
J. Oliveros-Oliveros	https://orcid.org/0000-0002-1715-3631

Abstract

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Equations (12)

Applied Optics