Analysis and synthesis of planachromats

Antonin Miks; Jiri Novak

doi:10.1364/AO.49.003403

Applied Optics
Vol. 49,
Issue 17,
pp. 3403-3410
(2010)
•https://doi.org/10.1364/AO.49.003403

Analysis and synthesis of planachromats

Antonin Miks and Jiri Novak

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Antonin Miks and Jiri Novak, "Analysis and synthesis of planachromats," Appl. Opt. 49, 3403-3410 (2010)

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Abstract

We analyze and synthesize one type of planachromatic microscope objective lens (planachromats). Formulas are described for the calculation of basic parameters of such optical systems for various configurations of the optical system. The application of the described technique is shown on an example of the optical design of planachromat.

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i	$n_{i}$	$u_{i}$	$h_{i}$	${\bar{u}}_{i}$	${\bar{h}}_{i}$	$d_{i}$	$r_{i}$
1	1.00000	$- 0.3000$	3.6000	0.0000	$- 3.3345$	13.05	$- 16.644$
2	1.75496	$- 0.2640$	7.0452	0.0862	$- 4.4600$	0.500	$- 17.000$
3	1.00000	$- 0.1504$	7.1204	$- 0.0467$	$- 4.4367$	3.000	$- 47.335$
4	1.75496	$- 0.1504$	7.5717	0.0137	$- 4.4778$	4.000	$- 32.064$
5	1.00000	$- 0.0857$	7.9145	$- 0.0814$	$- 4.1522$	15.000
6	1.00000	0.2336	4.4100	$- 0.2489$	$- 0.4184$
7	1.00000	0.0300		$- 0.2296$

Lens 5: ${\bar{M}}_{5} = 1$ , ${\bar{N}}_{5} = 1.049$ , $f_{5}^{'} = 24.783$
Glass	$r_{5}$	$r_{6}$	$r_{7}$
K5/SF1	16.73	$- 10.83$	$- 26.47$
Lens 6: ${\bar{M}}_{6} = 6.12$ , ${\bar{N}}_{6} = - 2.33$ , $f_{6}^{'} = - 21.656$
Glass	$r_{8}$	$r_{9}$	$r_{10}$
SF12/LaK21	34.52	$- 16.26$	9.79
F4/SK7	38.42	$- 10.83$	9.64

Lens 5: ${\bar{M}}_{5} = 1$ , ${\bar{N}}_{5} = 1.049$ , $f_{5}^{'} = 24.783$
Glass	$r_{5}$	$r_{6}$	$r_{7}$	$r_{8}$	$r_{9}$	$r_{10}$
K7/SF5	23.54	$- 24.14$	$- 130.3$	23.54	$- 24.14$	$- 130.3$
Lens 6: ${\bar{M}}_{6} = 6.12$ , ${\bar{N}}_{6} = - 2.33$ , $f_{6}^{'} = - 21.656$
Glass	$r_{11}$	$r_{12}$	$r_{13}$
SF12/LaK21	34.52	$- 16.26$	9.79
F4/SK7	38.42	$- 10.83$	9.64

Planachromat $10 \times$ $s_{1} = - 145.63 mm$ , $n_{1} = 1$ , $s_{13}^{'} = 12 mm$ , $y_{0} = 10 mm$ , $m = - 0.1$ , and $NA = 0.3$
i	$r_{i}$	$d_{i}$	$n_{i + 1}$
1	$- 9.64$	0	SK7
2	10.83	0	F4
3	$- 38.42$	15	air
4	130.3	0	SF5
5	24.14	0	K7
6	$- 23.54$	0	air
7	130.3	0	SF5
8	24.14	0	K7
9	$- 23.54$	4	air
10	32.064	3	LaK33A
11	47.335	0.5	air
12	17.000	6.0	LaK33A
13	$- 59.00$	7.05	SF4
14	16.644		air

$s_{1} = - 145.63 mm$ , $m = - 0.1$ , $s_{13}^{'} = 12 mm$ , and $y_{0} = 10 mm$
h	$δ s^{'}$	$δ m \times s_{1}$	$W_{d} / λ_{d}$	$W_{C} / λ_{C}$	$W_{F} / λ_{F}$	$y_{0}$	$δ s_{mer}^{'}$	$δ s_{sag}^{'}$	$δ s_{m - s}^{'}$	$C_{mer}$
3.50	0.055	0.0630	0.39	1.42	0.44	10	$- 0.0013$	$- 0.0019$	0.0006	$- 0.0254$
2.71	0.0043	0.0155	$- 0.10$	0.63	$- 0.42$	6	$- 0.0006$	$- 0.0007$	0.0001	$- 0.0143$
1.57	$- 0.0058$	$- 0.0009$	$- 0.03$	0.23	$- 0.23$	2	$- 0.0001$	$- 0.0001$	0.0000	$- 0.0046$

Abstract

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Equations (14)

Applied Optics