Simulation of stray radiation from optical window with temperature-dependent spectral properties

Hong-Yu Pan; Chuang Sun; Xue Chen; Xin-Lin Xia

doi:10.1364/AO.430880

Applied Optics
Vol. 60,
Issue 22,
pp. 6695-6705
(2021)
•https://doi.org/10.1364/AO.430880

Simulation of stray radiation from optical window with temperature-dependent spectral properties

Hong-Yu Pan, Chuang Sun, Xue Chen, and Xin-Lin Xia

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Hong-Yu Pan, Chuang Sun, Xue Chen, and Xin-Lin Xia, "Simulation of stray radiation from optical window with temperature-dependent spectral properties," Appl. Opt. 60, 6695-6705 (2021)

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Abstract

Stray radiation analysis coupled with a temperature field is performed for a semitransparent window, focusing on the temperature-dependent optical properties. The transient temperature response of the optical window-based encapsulation structure is first investigated under an external transient high-heat flux loading. The spectral selectivity of the window to thermal radiation is involved. Subsequently, several typical cases for stray radiation are conducted, considering the inhomogeneous optical properties caused by the temperature heterogeneity. It is found that the stray radiation distribution is more chaotic compared to the results with optical properties independent of temperature. In addition, the stray radiation power has a large deviation (150%) if one neglects the temperature dependence. Meanwhile, the difference in wave band power decreases with the wavelength rising. Additionally, the stray radiation power generated by the window is far less in the visible wave band than that in the near-infrared wave band. The results reveal that the temperature dependence in optical properties of a semitransparent window should be seriously considered when calculating the stray radiation, especially in high-precision detection devices.

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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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Part	Thermal Conductivity ( $W \cdot m^{- 1} \cdot K^{- 1}$ )	Specific Heat Capacity ( $k J \cdot {k g}^{- 1} \cdot K^{- 1}$ )	Density ( $k g \cdot m^{- 3}$ )
1	1.7	1	2200
2	25	0.577	7800
3	0.48	1.2	1470
4	0.26	1.04	2070
5	14.9	0.477	7900

Part	Temperature-Dependent $Φ_{1}$ (W)	Constant $Φ_{2}$ (W)
1 (Optical window)	$3.21 \times 10^{- 4}$ (70.47%)	$1.65 \times 10^{- 3}$ (79.97%)
2	$1.34 \times 10^{- 4}$ (29.52%)	$4.13 \times 10^{- 4}$ (20.01%)
3 and 4	$3.71 \times 10^{- 8}$	$1.41 \times 10^{- 8}$
5	$1.27 \times 10^{- 9}$	$1.28 \times 10^{- 7}$
Outside environment	$6.11 \times 10^{- 20}$	$8.59 \times 10^{- 20}$
Total	$4.55 \times 10^{- 4}$	$2.06 \times 10^{- 3}$

Wave Band	Temperature-Dependent $Φ_{1}$ (W)	Constant $Φ_{2}$ (W)
400–500 nm	$4.76 \times 10^{- 12}$	$2.07 \times 10^{- 10}$
500–600 nm	$5.29 \times 10^{- 9}$	$9.03 \times 10^{- 8}$
600–700 nm	$7.22 \times 10^{- 7}$	$6.80 \times 10^{- 6}$
700–800 nm	$2.70 \times 10^{- 5}$	$1.66 \times 10^{- 4}$
800–900 nm	$4.27 \times 10^{- 4}$	$1.90 \times 10^{- 3}$
Total	$4.55 \times 10^{- 4}$	$2.06 \times 10^{- 3}$

Part	Thermal Conductivity ( $W \cdot m^{- 1} \cdot K^{- 1}$ )	Specific Heat Capacity ( $k J \cdot {k g}^{- 1} \cdot K^{- 1}$ )	Density ( $k g \cdot m^{- 3}$ )
1	1.7	1	2200
2	25	0.577	7800
3	0.48	1.2	1470
4	0.26	1.04	2070
5	14.9	0.477	7900

Part	Temperature-Dependent $Φ_{1}$ (W)	Constant $Φ_{2}$ (W)
1 (Optical window)	$3.21 \times 10^{- 4}$ (70.47%)	$1.65 \times 10^{- 3}$ (79.97%)
2	$1.34 \times 10^{- 4}$ (29.52%)	$4.13 \times 10^{- 4}$ (20.01%)
3 and 4	$3.71 \times 10^{- 8}$	$1.41 \times 10^{- 8}$
5	$1.27 \times 10^{- 9}$	$1.28 \times 10^{- 7}$
Outside environment	$6.11 \times 10^{- 20}$	$8.59 \times 10^{- 20}$
Total	$4.55 \times 10^{- 4}$	$2.06 \times 10^{- 3}$

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Applied Optics