Lens design for parallel cylindrical anamorphic attachments with finite object distance

Xiaobo Chen; Xiaobo Chen; Xiaobo Chen; Jinkai Zhang; Jinkai Zhang

doi:10.1364/AO.456177

Applied Optics
Vol. 61,
Issue 15,
pp. 4610-4619
(2022)
•https://doi.org/10.1364/AO.456177

Lens design for parallel cylindrical anamorphic attachments with finite object distance

Xiaobo Chen and Jinkai Zhang

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Xiaobo Chen and Jinkai Zhang, "Lens design for parallel cylindrical anamorphic attachments with finite object distance," Appl. Opt. 61, 4610-4619 (2022)

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Abstract

A lens design method for parallel cylindrical anamorphic attachments with finite object distance is provided, which includes paraxial lens design, thin lens design, and thick lens design. The paraxial lens data can be determined from geometric optics. The thin lens design adopts a total of 28 anamorphic aberrations. The anamorphic lens splitting method for each anamorphic lens module is also provided for anamorphic aberration balancing between anamorphic lens modules. With the proposed design method, an anamorphic attachment is designed and manufactured in this paper, which proves the feasibility of the method.

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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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	Module2 Split 1	Module2 Split 2	Module2 Split3
Module1 split 1	$B_{1 y}$ , $B_{2 y}$	$B_{1 y}$ , $K_{21 y}$ , $B_{21 y}$ , $B_{22 y}$	$B_{1 y}$ , $K_{21 y}$ , $K_{22 y}$ , $B_{21 y}$ , $B_{22 y}$ , $B_{23 y}$
Module1 split 2	$K_{11 y}$ , $B_{11 y}$ , $B_{12 y}$ , $B_{2 y}$	$K_{11 y}$ , $B_{11 y}$ , $B_{12 y}$ , $K_{21 y}$ , $B_{21 y}$ , $B_{22 y}$	$K_{11 y}$ , $B_{11 y}$ , $B_{12 y}$ , $K_{21 y}$ , $K_{22 y}$ , $B_{21 y}$ , $B_{22 y}$ , $B_{23 y}$
Module1 split 3	$K_{11 y}$ , $K_{12 y}$ , $B_{11 y}$ , $B_{12 y}$ , $B_{13 y}$ , $B_{2 y}$	$K_{11 y}$ , $K_{12 y}$ , $B_{11 y}$ , $B_{12 y}$ , $B_{13 y}$ , $K_{21 y}$ , $B_{21 y}$ , $B_{22 y}$	$K_{11 y}$ , $K_{12 y}$ , $B_{11 y}$ , $B_{12 y}$ , $B_{13 y}$ , $K_{21 y}$ , $K_{22 y}$ , $B_{21 y}$ , $B_{22 y}$ , $B_{23 y}$

	$u_{x}$	$L_{x}$	$h_{x}$	${\bar{h}}_{x}$
${A n a m}_{1 x}$	2.53759e-3	−0.816626	3.92387	−6.12469
	$L_{y}$	$C_{y}$	$h_{y}$	${\bar{h}}_{y}$	$n$
${A n a m}_{1 y}$	−1.08883	−1.25416	3.92387	−8.16626	1.6727

	$u_{x}$	$L_{x}$	$h_{x}$	${\bar{h}}_{x}$
${A n a m}_{2 x}$	2.53759e-3	−0.816626	3.80639	−15.5763
	$L_{y}$	$C_{y}$	$h_{y}$	${\bar{h}}_{y}$	$n$
${A n a m}_{2 y}$	−1.08883	1.18667	2.88192	−18.8444	1.5168

$R_{11} (m m)$	$R_{12} (m m)$	$R_{21} (m m)$	$R_{22} (m m)$	$R_{23} (m m)$
−124.5	174.8	857.6	−156.4	−155
$e_{0}$ (mm)	$e_{1}$ (mm)	$e_{2}$ (mm)	$e_{3}$ (mm)	$t_{1}$ (mm)
1500	40	30	16.163062	4
$t_{21} (mm)$	$t_{22} (mm)$	$n_{1}$	$V_{1}$	$n_{21}$
4	4	1.516797	64.212351	1.672702
$V_{21}$	$n_{22}$	$V_{22}$
32.17888	1.516797	64.212351

	Module2 Split 1	Module2 Split 2	Module2 Split3
Module1 split 1	$B_{1 y}$ , $B_{2 y}$	$B_{1 y}$ , $K_{21 y}$ , $B_{21 y}$ , $B_{22 y}$	$B_{1 y}$ , $K_{21 y}$ , $K_{22 y}$ , $B_{21 y}$ , $B_{22 y}$ , $B_{23 y}$
Module1 split 2	$K_{11 y}$ , $B_{11 y}$ , $B_{12 y}$ , $B_{2 y}$	$K_{11 y}$ , $B_{11 y}$ , $B_{12 y}$ , $K_{21 y}$ , $B_{21 y}$ , $B_{22 y}$	$K_{11 y}$ , $B_{11 y}$ , $B_{12 y}$ , $K_{21 y}$ , $K_{22 y}$ , $B_{21 y}$ , $B_{22 y}$ , $B_{23 y}$
Module1 split 3	$K_{11 y}$ , $K_{12 y}$ , $B_{11 y}$ , $B_{12 y}$ , $B_{13 y}$ , $B_{2 y}$	$K_{11 y}$ , $K_{12 y}$ , $B_{11 y}$ , $B_{12 y}$ , $B_{13 y}$ , $K_{21 y}$ , $B_{21 y}$ , $B_{22 y}$	$K_{11 y}$ , $K_{12 y}$ , $B_{11 y}$ , $B_{12 y}$ , $B_{13 y}$ , $K_{21 y}$ , $K_{22 y}$ , $B_{21 y}$ , $B_{22 y}$ , $B_{23 y}$

Abstract

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Tables (4)

Equations (25)

Applied Optics