Design of optical system for dual-band co-aperture heatless gun objective lens

Primary aberration type	Wave aberration coefficients	Relationship with Seidel coefficient	Seidel coefficient	Thin lenses and mirrors
Spherical aberration	$W_{040}$	$\frac{1}{8} S_{I}$	$S_{I} = - \sum A^{2} y Δ {\frac{u}{n}}$	$S_{I} = \frac{1}{4} y^{4} ϕ^{3} σ_{I}$
Coma aberration	$W_{131}$	$\frac{1}{2} S_{II}$	$S_{II} = - \sum A B y Δ {\frac{u}{n}}$	$S_{II} = \frac{1}{2} L y^{2} ϕ^{2} σ_{II}$
Astigmatism	$W_{222}$	$\frac{1}{2} S_{III}$	$S_{III} = - \sum B^{2} y Δ {\frac{u}{n}}$	$S_{III} = L^{2} ϕ σ_{III}$
Field curvature	$W_{220}$	$\frac{1}{4} S_{IV}$	$S_{IV} = - L^{2} \sum C Δ {\frac{u}{n}}$	$S_{IV} = L^{2} ϕ σ_{IV}$
Distortion	$W_{311}$	$\frac{1}{2} S_{V}$	$S_{V} = - \sum \frac{B}{A} [C L^{2} Δ {\frac{1}{n}} - B^{2} y Δ {\frac{u}{n}}]$	$S_{V} = σ_{V}$

Table 2. Optical system specifications
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Table 2. Optical system specifications
Parameter Value
Spectrum range/μm 0.4～0.65；0.7～0.85
Focal length/mm 50
F/# 1.4
Full FOV/(°) 10
Working temperature/℃ −40～+50
Total length/mm 90
Diameter/mm 36

Table 3. Material properties of optical system

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Table 3. Material properties of optical system

Material	Reference temperature/(℃)	$N_{d}$	$V_{d}$	Thermal expansion coefficient(ppm/℃)
H-FK61B	20	1.497	81.605	12.7
H-LAK4L		1.640	60.203	6.0
H-ZBAF1		1.622	53.171	6.0
H-ZF73GT		1.959	17.472	5.8
H-ZF7LAGT		1.805	25.456	9.0
H-ZF12		1.761	26.608	8.4
H-ZLAF68C		1.883	40.847	7.0

Table 4. Allocation of tolerances to sensitive surfaces
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Table 4. Allocation of tolerances to sensitive surfaces
Source of tolerances Types of tolerances Surfaces Values of tolerance/mm
Manufacturing tolerances TIRX S5、S6 0.02
TIRY S5、S6 0.02
TTHI S5 0.02
Mounting tolerances TEDX S10 0.03
TEDY S10 0.03

Table 5. System tolerance allocation

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Table 5. System tolerance allocation

Tolerance type	Tolerance name	Value
Manufacturing tolerances	Radius of curvature tolerance	3
	Thickness tolerance/mm	0.02
	Local tolerance	0.2
	Surface eccentricity/mm	0.02
	Surface inclination tolerance/mm	0.02
Mounting tolerances	Component eccentricity tolerance/mm	0.03
	Component inclination tolerance/mm	0.03
Material tolerances	Refractive index tolerance	0.0005
	Abbe number tolerance/%	0.5

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Xinru BAI, Shilei JIANG, Xuhang GONG, Dacheng JIANG, Jiang FENG. Design of optical system for dual-band co-aperture heatless gun objective lens[J]. Journal of Applied Optics, 2025, 46(1): 32

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