Ambient temperature effect on the imaging quality of an aspherical airborne camera: theoretical and experimental analysis

Jiahang Tian; Jieqiong Lin; Jieqiong Lin; Mingming Lu; Tonghuan Ran; Jiakang Zhou

doi:10.1364/AO.419796

Applied Optics
Vol. 60,
Issue 13,
pp. 3668-3676
(2021)
•https://doi.org/10.1364/AO.419796

Ambient temperature effect on the imaging quality of an aspherical airborne camera: theoretical and experimental analysis

Jiahang Tian, Jieqiong Lin, Mingming Lu, Tonghuan Ran, and Jiakang Zhou

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Jiahang Tian, Jieqiong Lin, Mingming Lu, Tonghuan Ran, and Jiakang Zhou, "Ambient temperature effect on the imaging quality of an aspherical airborne camera: theoretical and experimental analysis," Appl. Opt. 60, 3668-3676 (2021)

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Abstract

The ambient temperature is one of the important factors that affects the imaging quality of aspherical airborne camera. In order to evaluate the imaging quality of an airborne camera under the effect of ambient temperature and predict the influence of the ambient temperature on the modulation transfer function (MTF) of the airborne camera, on the basis of the imaging principle and the material properties of lenses of the airborne camera, this study integrates theoretical analysis, simulation analysis, and experimental tests to study the influence of ambient temperature on the imaging performance of airborne cameras. The imaging performance of an airborne camera is characterized by using the MTF. First, a mathematical model is presented to analyze the effect of ambient temperature on the MTF of the airborne camera. Then the simulation analysis and experiment tests are, respectively, proposed. The results of the mathematical model are compared, respectively, with the results of the simulation analysis and experimental test, and the comparison shows that the variation trends of the mathematical model results are in line with the simulation results and the experimental results, respectively. Therefore, the mathematical model presented in this study is effective for analyzing the influence of ambient temperature variation on the MTF of airborne cameras.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Design Parameters	Value
MTF (91 lp/mm)	$> 0.3$
CCD image size (mm)	$> 39.892$
Focal length (mm)	80
F#	8
Field of view (°)	$> 28$
Object distance (mm)	infinity
Distortion	$< 1 %$
Spectral range (or wavelength)	visible

Material	Density ( ${k g / m}^{2}$ )	Poisson’s Ratio	Elastic Modulus (Mpa)	Expansion (mm/°C)
HZBA50	3.77	0.279	85,920	9.00E-06
HF13	2.69	0.231	83,540	9.90E-06
HZK6	3.54	0.267	82,530	7.90E-06
HZK20	3.66	0.271	76,940	9.00E-06
F2	3.50	0.231	57,400	1.20E-05
Al alloy	2.81	0.330	72,000	2.40E-05

No.	Step	Zernike Polynomials	Aberration Name
1	0	1	power
2	1	$ρ \cos θ$	X tilt
3	2	$ρ \sin θ$	Y tilt
4	3	$2 ρ 2 - 1$	focus
5	4	$ρ 2 \cos 2 θ$	astigmatism 0° or 90°
6	5	$ρ 2 \sin 2 θ$	astigmatism $\pm 45^{\circ}$
7	6	( $3 ρ 3 - 2 ρ$ ) $\cos θ$	X coma
8	7	( $3 ρ 3 - 2 ρ$ ) $\sin θ$	Y coma
9	8	$6 ρ 4 - 6 ρ 2 + 1$	spherical and focus

Temperature (°C)	20°C	10°C	0°C
Simulation analysis	0.3192	0.313	0.307
Mathematical model	0.3204	0.3134	0.3024

Temperature (°C)	20°C	10°C	0°C
Experimental test	0.25	0.2435	0.2383
Mathematical model	0.3204	0.3134	0.3024

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Applied Optics