Optical characterization of the active push–pull cell for the 2.1 m telescope at OAN SPM

Joel Herrera; Esteban Luna; José A. Araiza-Durán; Luis Salas; Erika Sohn; Ilse Plauchu Frayn; Elfego Ruiz; Irene Cruz-Gonzalez

doi:10.1364/AO.56.001489

Applied Optics
Vol. 56,
Issue 5,
pp. 1489-1494
(2017)
•https://doi.org/10.1364/AO.56.001489

Optical characterization of the active push–pull cell for the 2.1 m telescope at OAN SPM

Joel Herrera, Esteban Luna, José A. Araiza-Durán, Luis Salas, Erika Sohn, Ilse Plauchu Frayn, Elfego Ruiz, and Irene Cruz-Gonzalez

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Joel Herrera, Esteban Luna, José A. Araiza-Durán, Luis Salas, Erika Sohn, Ilse Plauchu Frayn, Elfego Ruiz, and Irene Cruz-Gonzalez, "Optical characterization of the active push–pull cell for the 2.1 m telescope at OAN SPM," Appl. Opt. 56, 1489-1494 (2017)

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Abstract

Successful tests and results that confirm an efficient behavior of the new common-pull (controlled vacuum), multiple-push primary mirror cell for the 2.1 m telescope at OAN/SPM, are presented. An optical design program that reduces the information obtained from intra- and extra-focal Hartmann patterns, using the direction cosines of the rays that cross the sampled regions, is discussed. The intrinsic uncertainties of this method are evaluated.

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Position	$Z_{5}$ [μm]	$Z_{6}$ [μm]	Magnitude [μm]	Angle °
Initial	0.836	−0.996	1.3	140
A	0.606	−0.35	0.7	120
B	1.434	−1.00	1.75	125
C	0.845	−1.813	2	155
D	0.0	−1.2	1.2	180

Aberration	Zernike Term	Equation
Piston	$Z_{1}$	1
Tilt X	$Z_{2}$	$2 ρ Cos (φ)$
Tilt Y	$Z_{3}$	$2 ρ Sin (φ)$
Defocus	$Z_{4}$	$\sqrt{3} (2 ρ^{2} - 1)$
Astig X	$Z_{5}$	$\sqrt{6} ρ^{2} Sin (2 φ)$
Astig Y	$Z_{6}$	$\sqrt{6} ρ^{2} Cos (2 φ)$
Coma X	$Z_{7}$	$\sqrt{8} (3 ρ^{3} - 2 p) Sin (φ)$
Coma Y	$Z_{8}$	$\sqrt{8} (3 ρ^{3} - 2 p) Cos (φ)$
Trefoil X	$Z_{9}$	$\sqrt{8} ρ^{3} Sin (3 φ)$
Trefoil Y	$Z_{10}$	$\sqrt{8} ρ^{3} Cos (3 φ)$
Spherical	$Z_{11}$	$\sqrt{5} (6 ρ^{4} - 6 ρ^{2} + 1)$

Zernike	Initial	$A$	$B$	$C$	$D$
$Z_{1}$	2.306	2.577	2.409	2.595	2.550
$Z_{2}$	−0.035	−0.072	0.131	0.090	0.104
$Z_{3}$	0.213	0.203	0.240	0.223	0.227
$Z_{4}$	0.280	0.345	0.257	0.352	0.318
$Z_{5}$	0.225	0.323	−0.057	0.269	0.657
$Z_{6}$	0.366	0.039	0.401	0.772	0.401
$Z_{7}$	−0.083	−0.072	−0.059	−0.055	−0.093
$Z_{8}$	0.002	0.001	−0.127	−0.080	−0.086
$Z_{9}$	−0.044	0.047	0.000	−0.011	−0.018
$Z_{10}$	−0.019	−0.037	−0.007	−0.037	−0.001
$Z_{11}$	−0.308	−0.356	−0.347	−0.367	−0.352

	Estigmar			Recovered
Position	$Z_{5}$	$Z_{6}$	Mag. [μm]	$Z_{5}$	$Z_{6}$	Mag. [μm]
A	−0.645	0.229	0.685	0.098	−0.327	0.341
B	0.008	−0.597	0.597	−0.282	0.035	0.284
C	0.816	−0.009	0.816	0.045	0.405	0.408
D	0.204	0.835	0.860	0.432	0.035	0.433

Position	A	B	C	D	Median
PC	0.498	0.475	0.499	0.504	0.499

$θ_{WF}$	$θ_{Estig}$	$90 ° - θ_{Estig}$	$θ_{WF} - (90 ° - θ_{Estig})$
−73.284	160.444	−70.444	−2.839
172.909	−89.242	179.242	−6.332
83.728	−0.674	90.674	−6.945
4.608	76.271	13.728	−9.120

$θ_{WF}$	$θ_{Estig}$	PC
−73.284	−77.084	0.950
172.909	172.603	1.001
83.728	84.034	0.996
4.608	7.089	−2.481
		Median CP	0.973

$θ_{WF}$	$θ_{Estig}$	PC
−73.284	−77.084	0.950
172.909	172.603	1.001
83.728	84.034	0.996
4.608	7.089	−2.481
		Median CP	0.973

Abstract

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Figures (8)

Tables (7)

Equations (9)

Applied Optics