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Accurate characterization of full-chain infrared multispectral imaging features under an aerodynamic thermal environment

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Abstract

The detection performance of infrared imaging systems during high-speed flight is significantly impacted by aero-optical and aero-thermal radiation effects. However, traditional numerical calculations struggle to balance accuracy and efficiency, and there is a lack of a comprehensive model for infrared imaging in an aerodynamic thermal environment. In this study, we propose a calculation method based on Cellular Automata (CA) ray tracing, which allows for parallel calculation of aero-optical and aero-thermal radiation effects by combining optical field transport rules with the cellular space obtained by interpolation under fluid-solid boundary constraints. Using this method, we extend the traditional imaging feature prediction model of the infrared imaging system to obtain an accurate characterization model of the full-chain imaging features adapted to the aerodynamic thermal environment. Finally, we investigate the characteristics of infrared multispectral imaging system in various spectral bands under the influence of aero-optical and aero-thermal radiation effects. With this full-chain imaging model, the key elements of the imaging system under aerodynamic thermal environment can be globally optimized.

© 2023 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement

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Data availability

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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Figures (11)

Fig. 1.
Fig. 1. Imaging process of an infrared imaging system under an aerodynamic thermal environment.
Fig. 2.
Fig. 2. (a) High-dimensional light field represented by a ray array; (b) Transmission process of light field vector in fluid-solid-thermal coupling medium.
Fig. 3.
Fig. 3. (a) CA space generation using CFD data and measured data; (b) 3D cell with its 3D Moore-type neighbors; (c) Ray tracing calculation using CA properties; (d) The solution at the fluid-solid boundary.
Fig. 4.
Fig. 4. The overall calculation process for aero-optical and aero-thermal radiation effects.
Fig. 5.
Fig. 5. The aero-optical and aero-thermal radiation effects calculation results coupled with the optical system and imaging sensor array. (a) Calculating radiant flux; (b) Calculating PSF.
Fig. 6.
Fig. 6. Comparison between ray tracing results and analytical results in a medium with gradient refractive index. (a) Comparison between tracing path and ideal path; (b) Computation error results under different cellular sizes and tracing step lengths.
Fig. 7.
Fig. 7. Radiation content of the shock layer and optical window in different spectral bands at 10 km altitude. (a) optical window 1; (b) optical window 2.
Fig. 8.
Fig. 8. The spectral radiation characteristics of optical window 2 under different flight speed. (a) spectral radiance in 3500∼3850 cm-1; (b) spectral radiance in 2200∼2400 cm-1; (c) spectral radiance in 800∼1250 cm-1; (d) spectral radiance in 2300∼3300 cm-1.
Fig. 9.
Fig. 9. The full-chain imaging simulation process under aerodynamic thermal environments.
Fig. 10.
Fig. 10. (a) The spectral radiation of the original standard 4 bars target at 2200∼2400 cm-1; (b) The imaging simulation results at 2200∼2400 cm-1; (c) The spectral radiation of the original standard 4 bars target at 3500∼3850 cm-1;(d) The imaging simulation results at 3500∼3850 cm-1.
Fig. 11.
Fig. 11. Original image (a) and simulation results after adding aero-optical and aero-thermal radiation effects; (b) 3 Ma; (c) 4 Ma; (d) 5 Ma.

Tables (6)

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Table 1. The computation results under different tracing step lengths

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Table 2. The simulation parameters

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Table 3. Simulation parameters of standard 4 bars target scene

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Table 4. Evaluation results at a saturation threshold of 1.5×max(Eint)

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Table 5. Evaluation results at a saturation threshold of 5×max(Eint)

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Table 6. Simulation parameters of actual scene

Equations (13)

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d d s ( n ( s ) d r d s ) = n ( s )
d L ν ( s ) d s = k ν ( s ) ( j ν k ν ( s ) L ν ( s ) )
d L ν ( s ) d s = k ν ( s ) ( L b ν ( s ) L ν ( s ) )
{ L ν ( s 1 ) = L ν ( s 0 ) exp [ τ ν ( s 0 , s 1 ) ] + s 0 s 1 k ν ( s ) L b ν ( s ) exp [ τ ν ( s , s 1 ) ] d s τ ν ( s 0 , s 1 ) = s 0 s 1 k ν ( s ) d s
{ L i n ( r i n , D i n , λ ) F ( x , y , z , n λ , k λ , T ) f i n = i f i n _ i ( s S i ) , B R D F ( f i n ) f o u t = i f o u t _ i ( s S i ) , B R D F ( f o u t ) d d s ( n ( s ) d r d s ) = n ( s ) d L ν ( s ) d s = k ν ( s ) ( L b ν ( s ) L ν ( s ) ) , ν = 1 / λ
{ r i + 1 = r i + h 6 ( K 1 + K 2 + K 3 + K 4 ) T i + 1 = T i + h 6 ( L 1 + L 2 + L 3 + L 4 ) K 1 = T i , L 1 = n ( r i ) n ( r i ) K 2 = T i + h L 1 / 2 , L 2 = n ( r 1 ) n ( r 1 ) K 3 = T i + h L 2 / 2 , L 3 = n ( r 2 ) n ( r 2 ) K 4 = T i + h L 3 , L 4 = n ( r 3 ) n ( r 3 ) d n ( r ) d l = n ( C A ( r ) l + 1 ) n ( C A ( r ) l 1 ) 2 h C A , l , ( l = x , y , z ) n ( r ) = m w m n ( C A ( r ) m ) , w C A , m 1 / n o r m ( r P o s ( C A ( r ) m ) )
{ r 1 = r i + h K 1 / 2 r 2 = r i + h K 2 / 2 r 3 = r i + h K 3
P s , i ( λ ) = φ 1 φ 2 θ 1 θ 2 L s , i ( θ , φ , λ ) Δ A s , i ( θ , φ ) sin θ d θ d φ
P m , n , i ( λ ) = i τ o p t ( λ ) P s , i ( λ ) | P s , i ( λ ) D e t ( m , n )
{ P det ( λ ) = τ a ( λ ) τ o p t ( λ ) P I n ( λ ) P S F a , λ + P a ( λ ) U det = λ P det ( λ ) R v ( λ ) d λ + U n G = { G min , U det < U min U det U min U max U min × ( G max G min ) + G min , U min U det U max G max , U min < U det
n ( z ) = n ( 0 ) ( 1 β 2 z 2 ) 1 / 2
S C R = G ¯ T G ¯ B σ B
S S I M ( G a , G b ) = [ l ( G a , G b ) ] α [ c ( G a , G b ) ] β [ s ( G a , G b ) ] γ
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