Iouri Tcherniavski and Mojtaba Kahrizi, "Optimization of design and operating parameters of a space-based optical-electronic system with a distributed aperture," Appl. Opt. 47, 6159-6176 (2008)
Using a gradient optimization method with objective functions formulated in terms of a signal-to-noise ratio (SNR) calculated at given values of the prescribed spatial ground resolution, optimization problems of geometrical parameters of a distributed optical system and a charge-coupled device of a space-based optical-electronic system are solved for samples of the optical systems consisting of two and three annular subapertures. The modulation transfer function (MTF) of the distributed aperture is expressed in terms of an average MTF taking residual image alignment (IA) and optical path difference (OPD) errors into account. The results show optimal solutions of the optimization problems depending on diverse variable parameters. The information on the magnitudes of the SNR can be used to determine the number of the subapertures and their sizes, while the information on the SNR decrease depending on the IA and OPD errors can be useful in design of a beam combination control system to produce the necessary requirements to its accuracy on the basis of the permissible deterioration in the image quality.
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Optimal Parameters Versus the Object Spectral Reflectance (, )
Object
F
M
1
0.476
0.499
0.476
5.00
3.125
3.125
200
0.0004
2.79
2
0.309
0.346
0.307
5.00
3.125
3.125
200
0.33
2.16
Table 13
Optimal Parameters Versus the Altitude H
H
F
M
400
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
600
0.477
0.503
0.477
5.00
3.125
3.125
200
0.002
3.49
Table 14
Optimal Parameters Versus the Angle Between and
F
M
0.2
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
0.4
0.316
0.326
0.316
5.00
4.6875
4.6875
157
1.54
5.28
Table 15
Optimal Parameters Versus the and Synchronization Parameter
F
M
1.01
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
1.02
0.310
0.334
0.310
5.00
4.6875
4.6875
100
0.72
4.69
Table 16
Optimal Parameters Versus the Presence () and Absence () of the IA and OPD Errors (E), and the Presence () and Absence () of the Atmosphere Turbulence (T)
F
M
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
0.311
0.332
0.312
5.00
4.6875
4.6875
200
1.15
6.75
0.311
0.327
0.311
5.00
4.6875
4.6875
200
1.76
10.18
0.311
0.327
0.311
5.00
4.6875
4.6875
200
1.85
10.67
Table 17
Optimal Parameters Versus the Upper Bound of the Effective Focal Length
F
M
5.00
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
10.00
0.312
0.331
0.312
10.00
9.375
9.375
200
1.29
7.58
Table 18
Optimal Parameters Versus the Upper Bound of the Outer Subaperture Radii
F
M
0.130
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
0.150
0.310
0.327
0.310
5.00
4.6875
4.6875
200
1.63
7.90
Table 19
Optimal Parameters Versus the Lower Bound of the Inner Subaperture Radii
F
M
0.055
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
0.045
0.309
0.333
0.310
5.00
4.6875
4.6875
200
1.09
6.85
Table 20
Optimal Parameters Versus the Spatial Resolution
R
F
M
0.5
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
0.4
0.394
0.419
0.394
5.00
3.75
3.75
200
0.21
3.93
Tables (20)
Table 1
Optimal Values for the Aperture Configurations in Fig. 6
Optimal Parameters Versus the Object Spectral Reflectance (, )
Object
F
M
1
0.476
0.499
0.476
5.00
3.125
3.125
200
0.0004
2.79
2
0.309
0.346
0.307
5.00
3.125
3.125
200
0.33
2.16
Table 13
Optimal Parameters Versus the Altitude H
H
F
M
400
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
600
0.477
0.503
0.477
5.00
3.125
3.125
200
0.002
3.49
Table 14
Optimal Parameters Versus the Angle Between and
F
M
0.2
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
0.4
0.316
0.326
0.316
5.00
4.6875
4.6875
157
1.54
5.28
Table 15
Optimal Parameters Versus the and Synchronization Parameter
F
M
1.01
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
1.02
0.310
0.334
0.310
5.00
4.6875
4.6875
100
0.72
4.69
Table 16
Optimal Parameters Versus the Presence () and Absence () of the IA and OPD Errors (E), and the Presence () and Absence () of the Atmosphere Turbulence (T)
F
M
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
0.311
0.332
0.312
5.00
4.6875
4.6875
200
1.15
6.75
0.311
0.327
0.311
5.00
4.6875
4.6875
200
1.76
10.18
0.311
0.327
0.311
5.00
4.6875
4.6875
200
1.85
10.67
Table 17
Optimal Parameters Versus the Upper Bound of the Effective Focal Length
F
M
5.00
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
10.00
0.312
0.331
0.312
10.00
9.375
9.375
200
1.29
7.58
Table 18
Optimal Parameters Versus the Upper Bound of the Outer Subaperture Radii
F
M
0.130
0.312
0.332
0.311
5.00
4.6875
4.6875
200
1.09
6.45
0.150
0.310
0.327
0.310
5.00
4.6875
4.6875
200
1.63
7.90
Table 19
Optimal Parameters Versus the Lower Bound of the Inner Subaperture Radii