Three-shell-based lens barrel for the effective athermalization of an IR optical system

Ho-Soon Yang; Hagyong Kihm; Il Kweon Moon; Gil-Jae Jung; Se-Chol Choi; Kyung-Joo Lee; Hong-Yeon Hwang; Sug-Whan Kim; Yun-Woo Lee

doi:10.1364/AO.50.006206

Applied Optics
Vol. 50,
Issue 33,
pp. 6206-6213
(2011)
•https://doi.org/10.1364/AO.50.006206

Three-shell-based lens barrel for the effective athermalization of an IR optical system

Ho-Soon Yang, Hagyong Kihm, Il Kweon Moon, Gil-Jae Jung, Se-Chol Choi, Kyung-Joo Lee, Hong-Yeon Hwang, Sug-Whan Kim, and Yun-Woo Lee

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Ho-Soon Yang, Hagyong Kihm, Il Kweon Moon, Gil-Jae Jung, Se-Chol Choi, Kyung-Joo Lee, Hong-Yeon Hwang, Sug-Whan Kim, and Yun-Woo Lee, "Three-shell-based lens barrel for the effective athermalization of an IR optical system," Appl. Opt. 50, 6206-6213 (2011)

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Abstract

We have developed a new IR optical system that consists of three mirrors and four lenses, and that operates in the temperature range $8 ° C - 32 ° C$ . This temperature range can induce thermoelastic deformation in the lenses and their mounting subassembly, leading to a large defocus error associated with the displacement of the lenses inside the barrel. We suggest using a new three-shell-based athermalization structure composed of two materials with different coefficients of thermal expansion (Invar and aluminum). A finite element analysis and the experiment data were used to confirm that this new athermalization barrel had a defocus error sensitivity of $11.6 nm / ° C$ ; this is an improvement on the widely used conventional single-shell titanium barrel model, which has a defocus error sensitivity of $29.8 nm / ° C$ . This paper provides the technical details of the new athermalization design, and its computational and experimental performance results.

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Parameter	Requirement	Remarks
Operational wavelength band	$3 - 5 μm$
Operating temperature range	$< 20 ° C \pm 12 ° C$
Change in WFE due to change in temperature	$< 15 nm rms / ° C$	Including thermoelastic and thermo-optic effects
Change in WFE due to launch	$< 25 nm rms$
Eigenfrequency of mirrors and lens subassembly	$> 210 Hz$
Design load	$47 G$ (gravity)

Element	Material	$Δ a_{4}$ ( $nm / ° C$ )
L1	Si	93.6
L2	Ge	$- 83.2$
L3	Ge	$- 36.9$
L4	Si	27.6
Window	Ge	8.6
Sum		9.7

Term	Expression	$Δ a$ (nm)
4	$\sqrt{3} (2 r^{2} - 1)$	20.1
5	$\sqrt{6} r^{2} \sin (2 θ)$	$- 1.1$
6	$\sqrt{6} r^{2} \cos (2 θ)$	$- 1.9$
7	$\sqrt{8} (3 r^{3} - 2 r) \sin (θ)$	0
8	$\sqrt{8} (3 r^{3} - 2 r) \cos (θ)$	0
9	$\sqrt{8} (r^{3}) \sin (3 θ)$	0
10	$\sqrt{8} (r^{3}) \cos (3 θ)$	$- 2.8$
11	$\sqrt{5} (6 r^{4} - 6 r^{2} + 1)$	0
rms		20.3

Term	Expression	$Δ a$ (nm)
4	$\sqrt{3} (2 r^{2} - 1)$	1.9
5	$\sqrt{6} r^{2} \sin (2 θ)$	0
6	$\sqrt{6} r^{2} \cos (2 θ)$	0.2
7	$\sqrt{8} (3 r^{3} - 2 r) \sin (θ)$	0
8	$\sqrt{8} (3 r^{3} - 2 r) \cos (θ)$	0.1
9	$\sqrt{8} (r^{3}) \sin (3 θ)$	0
10	$\sqrt{8} (r^{3}) \cos (3 θ)$	0
11	$\sqrt{5} (6 r^{4} - 6 r^{2} + 1)$	0
rms		1.9

Parameter		Single-Shell LBS	Athermalized LBS
Expectation	Defocus error ( $nm / ° C$ )	29.8	11.6
Expectation	WFE ( $nm rms / ° C$ )	30.0	11.6
Experiment	Defocus error ( $nm / ° C$ )	-	8.1
Experiment	WFE ( $nm rms / ° C$ )	-	6.9

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Applied Optics