Design of Free-Form Surface Off-Axis Four-Mirror Optical System for Dynamic Target Simulation

Parameter	Specification
Effective focal length /mm Entrance pupil diameter /mm Wavelength /μm	-365 160 0.4‒0.7；8‒12
Field of view /（°×°）	6×2
F-number	2
MTF /lp·mm^-1（0.4‒0.7 μm） MTF /lp·mm^-1（8‒12 μm） Detector pixel size /µm	>0.5@50 Diffraction-limited 10.8

Table 2. 10-dimensional variable solution space
View table
Table 2. 10-dimensional variable solution space
Parameter Range
$α_{1}$
$α_{2}$
［0，0.5］
［0，0.5］
$α_{3}$ ［1，2］
$β_{1}$
$β_{2}$
$β_{3}$
$k_{1}$
$k_{2}$
$k_{3}$
$k_{4}$
［-5，-1］
［0，3］
［0，1］
［-10，10］
［-10，10］
［-10，10］
［-10，10］

Table 3. 6 groups of the on-axis four-mirror optical system structure parameters

View table

Table 3. 6 groups of the on-axis four-mirror optical system structure parameters

Item	F-number	$α_{1}$	$α_{2}$	$α_{3}$	$β_{1}$	$β_{2}$	$β_{3}$	$k_{1}$	$k_{2}$	$k_{3}$	$k_{4}$	$w_{1} w_{2} w_{3} w_{4} w_{5} w_{6}$
1	3.96	0.50	0.48	1.64	-1.92	1.70	0.43	-0.78	2.15	-10.0	-0.82	［2 1 1 1 1 4 4 4］
2	5.73	0.44	0.41	1.64	-2.16	2.28	0.43	-0.76	1.09	-7.74	-0.91	［2 2 1 1 1 4 4 4］
3	4.92	0.45	0.43	1.75	-2.14	1.76	0.47	-0.86	1.55	-7.98	-0.74	［2 2 2 1 1 3 3 3］
4	3.75	0.50	0.50	1.72	-2.00	1.38	0.47	-1.27	6.29	-10.0	-0.70	［3 2 1 1 1 5 5 5］
5	3.78	0.50	0.48	1.67	-1.93	1.60	0.45	-1.38	3.1	-10.0	-0.81	［2 2 2 1 1 3 3 3］
6	3.47	0.50	0.43	2.00	-1.76	1.31	0.56	-1.59	-0.02	-6.86	-0.54	［3 1 2 1 1 4 4 4］

Table 4. Parameters of the on-axis four-mirror optical system
View table
Table 4. Parameters of the on-axis four-mirror optical system
Mirror Radius /mm Thickness /mm Conic
M₁ -567.094 -142.709 -0.979
M₂ -654.818 140.409 2.2
M₃ 124.428 -140.218 -4.517
M₄ 203.979 157.507 -0.564

Table 5. Parameters of the off-axis four-mirror optical system
View table
Table 5. Parameters of the off-axis four-mirror optical system
Mirror Surface type Radius /mm Thickness /mm
M₁ XY polynomial -1159.50 -270.03
M₂ XY polynomial 1801.82 232.48
M₃ XY polynomial 138.29 -264.42
M₄ XY polynomial 331.84 255.22

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Danni Zhang, Liang Nie, Yanlong Song. Design of Free-Form Surface Off-Axis Four-Mirror Optical System for Dynamic Target Simulation[J]. Laser & Optoelectronics Progress, 2024, 61(15): 1522001

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