Optical design of a gradient-index biocular

Eli Atad

doi:10.1364/AO.24.004297

Applied Optics
Vol. 24,
Issue 24,
pp. 4297-4299
(1985)
•https://doi.org/10.1364/AO.24.004297

Optical design of a gradient-index biocular

Eli Atad

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Eli Atad, "Optical design of a gradient-index biocular," Appl. Opt. 24, 4297-4299 (1985)

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Abstract

A conventional biocular has been designed to magnify the image obtained in a cathode ray tube display. Problems of weight and alignment were solved by using four lenses of which one is an axial gradient lens. This lens reduces distortion, field curvature, and angular blur.

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R₁	R₂	R₃	R₄	R/O
0.2	0.09	0.96	0.28	O₁
1.4	0.47	—	—	O₂
—	4.1	—	—	O₃
—	—	—	—	O₄
0.32	0.24	0.30	0.32	O₅
0.63	0.38	0.92	0.65	O₆
0.82	0.51	1.47	0.93	O₇
0.33	0.10	1.12	0.86	O₈

O₁	O₂	O₆	O₇	O₈	Object position in the CRT display
0.6	0.5	0.93	1.4	0.9	Parallax in a gradient (mrad) index lens
9.4	8.4	—	—	8.9	Parallax in a conventional lens

O₁O₅O₇	O₁O₅O₆		O₁O₂O₃	O/R
O₁O₅O₇	Grin lens	Convent. lens	O₁O₂O₃	O/R
3.8	0.8	3	—	R₁
3.2	0.9	1.7	7.5	R₂
6.4	2.9		—	R₃

Field flatness (diopter)	R
1/13	R₁
1/5	R₂
1/4	R₃

Lens	Curvatures ( /mm)		Thickness	Separation
Lens	C₁	C₂	(mm)	(mm)
L₁	−0.011588	−0.0046468	5
L₂	0.0064185	−0.0078678	12	1
L₃	0.013532	−0.001856	12	1
L₄	0.050505	−0.019268	9	57
		Index coefficients for L₁:
		n₀	1.51804
		n₁	0.018	mm⁻¹

O₁	Object	Position	O₈	Displacement
O₁	O₂	O₆	O₈	(mm)
0.08	0.47	0.91	0.88	0.2
0.84	0.50	0.88	0.95	0.5
0.90	0.55	0.82	1.04	1.0
1.09	0.66	0.73	1.23	2.0

Distortion for O₁O₂O₃ and R₂ (%)	Angular blur for R₁O₁ (mrad)	Displacement (mm)
7.5	0.20	0.2
7.54	0.21	0.5
7.59	0.27	1.0
7.85	0.35	2.0

O₁	Object	Position	O₈	Displacement
O₁	O₂	O₆	O₈	(mm)
0.08	0.47	0.91	0.88	0.2
0.84	0.50	0.88	0.95	0.5
0.90	0.55	0.82	1.04	1.0
1.09	0.66	0.73	1.23	2.0

Distortion for O₁O₂O₃ and R₂ (%)	Angular blur for R₁O₁ (mrad)	Displacement (mm)
7.5	0.20	0.2
7.54	0.21	0.5
7.59	0.27	1.0
7.85	0.35	2.0

Abstract

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Equations (3)

Applied Optics