New Series of Distortionless Telephoto Lenses

T. Kazamaki; F. Kondo

doi:10.1364/JOSA.46.000022

Journal of the Optical Society of America
Vol. 46,
Issue 1,
pp. 22-31
(1956)
•https://doi.org/10.1364/JOSA.46.000022

New Series of Distortionless Telephoto Lenses

T. Kazamaki and F. Kondo

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T. Kazamaki and F. Kondo, "New Series of Distortionless Telephoto Lenses," J. Opt. Soc. Am. 46, 22-31 (1956)

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Abstract

In this paper the authors discuss the pros and cons of telephoto lenses of old types and a series of improved old types, showing several examples of these. They then describe a series of newly-designed distortionless telephoto lenses consisting of five types with apertures of 1/4.5 to 1/2.8 and covering an angle of approximately 25°.

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Equations (9)

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d-line
Elements and paraxial ray
	R	d	n/ν	h	β
1	17.00	4.5	1.51633/64.0	1.0	2.00302
2	−45.40	1.3	1.62004/36.3	0.90986	1.74649
3	57.00	21.2	1.51633/64.0	0.88716	1.86435
4	−10.80	1.0	1.64769/33.9	0.49192	−0.32415
5	−32.00	2.0		0.49513	−0.41918
6	−19.40			0.50352	0.99037

d-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	45.9820	7.8169	1.3289	2.0282	0.5707
2	−9.1731	1.3437	−0.1969	0.1018	0.0139
3	0.0689	−0.2470	0.8858	−0.6860	−0.7167
4	−42.1148	−8.9229	−1.8905	−3.1925	−1.0769
5	−0.0713	0.0391	−0.0214	−0.1791	0.1099
6	8.1569	0.4135	0.0210	2.0726	0.1061
∑	2.8485	0.4433	0.1269	0.1451	−0.9930

g-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	45.7084	7.7704	1.3210	2.0030	0.5651
2	−8.1602	1.2098	−0.1794	0.0930	0.0128
3	0.0661	−0.2393	0.8658	−0.6715	−0.7033
4	−42.0869	−8.9077	−1.8855	−3.1529	−1.0664
5	−0.0726	0.0385	−0.0205	−0.1643	0.0981
6	8.0590	0.4050	0.0204	2.0262	0.1028
∑	3.5139	0.2768	0.1219	0.1336	−0.9908

d-line
Elements and paraxial ray
	R	d	n/ν	h	β
1	21.2	0.9	1.64769/33.9	1.0	1.85420
2	12.5	2.8	1.61272/58.6	0.98331	1.72383
3	77.6	17.0	1.60562/43.9	0.93505	2.04175
4	−32.5	0.7	1.64769/33.9	0.58795	0.58927
5	18.8	1.4		0.58382	−0.93457
6	27.4	1.4		0.59691	0.28914
7	−72.2			0.59286	1.00826

d-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	25.0385	5.3082	1.1252	1.8542	0.6316
2	−5.4454	−0.5892	−0.0638	−0.1053	−0.0183
3	0.6370	−0.7985	1.0010	−0.4896	−0.6411
4	−14.6014	1.5626	−0.1672	−1.1606	0.1421
5	−12.4025	−9.5540	−7.3598	−2.0063	−7.2150
6	6.4212	5.9377	5.4905	1.4346	6.4035
7	1.6523	−0.8451	0.4323	0.5444	−0.4996
∑	1.2999	1.0216	0.4583	0.0715	−1.1968

g-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	25.2321	5.3492	1.1339	1.8967	0.6425
2	−7.1458	−0.7676	−0.0825	−0.1377	−0.0237
3	0.6622	−0.8213	1.0186	−0.4960	−0.6482
4	−14.7851	1.5998	−0.1731	−1.1813	0.1466
5	−13.2395	−10.1474	−7.7776	−2.0422	−7.5263
6	7.0255	6.4318	5.8883	1.4675	6.7342
7	1.6851	−0.8597	0.4386	0.5569	−0.5079
∑	−0.5657	0.7847	0.4463	0.0639	−1.1828

d-line
Elements and paraxial ray
	R	d	n/ν	h	β
1	18.10	3.3	1.58913/61.2	1.0	2.0482
2	−38.80	0.1	1.59551/39.2	0.9324	4.6706
3	−36.70	0.8	1.62588/35.6	0.9277	1.9838
4	38.70	24.0	1.49782/67.0	0.9124	1.7613
5	−10.40	1.9		0.4897	−0.7292
6	−9.40	0.8		0.5035	−0.3335
7	−17.10			0.5062	0.9741

d-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	39.3417	7.1208	1.2888	2.0482	0.6039
2	157.7767	−20.4068	2.6396	0.9555	−0.4648
3	−164.7597	20.8124	−2.6296	−1.0170	0.4606
4	0.1680	0.3137	0.5859	−0.9644	−0.7069
5	−45.2883	−11.3623	−2.8508	−3.7014	−1.6438
6	6.4354	2.2525	0.7885	0.5594	0.4718
7	9.3758	1.2083	0.1557	1.9436	0.2705
∑	3.0487	−0.0614	−0.0218	−0.1761	−1.0086

g-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	39.5418	7.1571	1.2954	2.0740	0.6098
2	165.8241	−21.1774	2.7046	0.9675	−0.4689
3	−173.9317	21.6980	−2.7064	−1.0376	0.4671
4	0.1691	0.3192	0.6026	−0.9840	−0.7199
5	−45.3675	−11.4199	−2.8745	−3.7827	−1.6757
6	6.8710	2.4202	0.8524	0.6066	0.5139
7	9.4168	1.2610	0.1688	1.9671	0.2860
∑	2.5235	0.2582	0.0430	−0.1890	−0.9877

d-line
Elements and paraxial ray
	R	d	n/ν	h	β
1	29.00	5.5	1.6143/56.4	1.0	1.3122
2	−34.30	1.5	1.6462/33.9	0.9278	1.2344
3	^∞	13.3	1.5835/41.9	0.9093	2.0320
4	−41.20	1.3	1.6462/33.9	0.6391	0.7117
5	28.70	3.8		0.6298	−0.1536
6	301.80	2.5		0.6356	−0.0106
7	−40.40			0.6359	0.9997

d-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	9.6654	2.8030	0.8129	1.3122	0.6126
2	−2.4599	0.3185	−0.0413	−0.0350	0.0099
3	4.8140	−2.3766	1.1713	0.0	−0.5793
4	−12.9845	2.0818	−0.3338	−0.8944	0.3338
5	−2.0936	−2.0371	−1.9822	−1.2839	−3.1780
6	0.0124	0.0584	0.2753	0.1301	1.9100
7	4.2381	−0.7702	0.1399	0.9716	−0.2002
∑	1.1943	0.0778	−0.0442	0.2006	−1.0875

g-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	9.7150	2.8172	0.8169	1.3300	0.6226
2	−3.3272	0.4256	−0.0544	−0.0462	0.0129
3	5.0138	−2.4577	1.2048	0.0	−0.5906
4	−13.2262	2.1215	−0.3402	−0.9113	0.2007
5	−2.2292	−2.1598	−2.0926	−1.3082	−3.2949
6	0.0179	0.0770	0.3322	0.1331	2.0052
7	4.3005	−0.7795	0.1413	0.9939	−0.2058
∑	0.2645	0.0444	0.0080	0.1913	−1.2498

d-line
Elements and paraxial ray
	R	d	n/ν	h	β
1	21.10	3.20	1.6080/45.0	1.0	1.7920
2	−40.00	0.10	1.7283/28.3	0.9427	4.3144
3	−40.20	1.20	1.6080/46.2	0.9383	1.5127
4	71.00	30.30	1.7283/28.3	0.9202	1.6705
5	−13.00	1.00		0.4140	−0.1654
6	−70.00	0.10		0.4157	0.0951
7	^∞	1.90		0.4156	0.0550
8	−33.20			0.4146	1.0045

d-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	25.0314	5.2814	1.1144	1.7920	0.6132
2	134.2381	−18.5128	2.5532	0.9453	−0.4825
3	−142.6468	19.6924	−2.7189	−1.0483	0.5201
4	0.1026	−0.2946	0.8462	−0.5935	−0.7258
5	−17.3094	−5.6797	−1.8637	−2.9085	−1.5659
6	0.0391	−0.1027	0.2701	0.5402	−2.1312
7	−0.0002	0.0058	−0.1421	0.0	3.4753
8	2.0470	−0.2852	0.0397	3.4753	−0.1824
∑	1.5016	0.1046	0.0990	−0.0036	−0.4792

g-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	25.1929	5.3154	1.1216	1.8223	0.6211
2	143.5011	−19.4544	2.6476	0.9612	−0.4879
3	−153.3493	20.8080	−2.8232	−1.0759	0.5291
4	0.1040	−0.3002	0.8663	−0.6092	−0.7419
5	−17.4265	−5.7227	−1.8793	−2.9577	−1.5884
6	0.0297	−0.0851	0.2443	0.5493	−2.2781
7	−0.00004	0.0017	−0.0790	0.0	3.7141
8	2.0827	−0.2873	0.0396	1.3027	−0.1852
∑	0.1345	0.2753	0.1279	−0.0072	−0.4172

d-line
Elements and paraxial ray
	R	d	n/ν	h	β
1	24.84	6.0	1.6584/50.8	1.0	1.5983
2	−671.82	4.0	1.8052/25.5	0.9041	2.7393
3	−123.50	2.0	1.4645/65.7	0.7945	1.2305
4	58.17	27.53	1.6700/47.2	0.7699	1.1557
5	−14.29	1.5		0.4518	−0.2136
6	−39.56	1.0		0.4550	0.2214
7	500.00	5.0		0.4528	0.1689
8	−41.47			0.4443	1.0000

d-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	15.6190	3.8798	0.9637	1.5983	0.6364
2	13.2559	−4.5713	1.5764	0.0591	−0.5640
3	−18.7069	5.1700	−1.4288	−0.3611	0.4947
4	0.0103	0.0807	0.6336	−0.7667	−1.0454
5	−10.9581	−4.3016	−1.6885	−2.2195	−1.5341
6	0.3143	−0.2035	0.1317	0.8018	−0.6034
7	−0.0009	0.0148	−0.2373	0.0802	2.4459
8	1.7137	0.1134	0.0075	0.9675	0.0645
∑	1.2472	0.1823	−0.0388	0.1596	−0.1063

g-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	15.6956	3.8987	0.9684	1.6219	0.6434
2	14.3559	−4.8374	1.6300	0.0600	−0.5694
3	−20.1243	5.4597	−1.4812	−0.3713	0.5026
4	0.0104	0.0823	0.6528	−0.7883	−1.0755
5	−10.8205	−4.2777	−1.6910	−2.2476	−1.5571
6	0.2956	−0.1994	0.1345	0.8120	−0.6385
7	−0.0006	0.0118	−0.2195	0.0815	2.5676
8	1.7190	0.1192	0.0083	0.9829	0.0687
	1.1311	0.2572	0.0023	0.1511	−0.0582

d-line
Elements and paraxial ray
	R	d	n/ν	h	β
1	32.41	5.56	1.5163/64.0	1.0	3.0857
2	−100.00	2.32	1.6727/32.2	0.9416	1.0507
3	57.72	2.78	1.6704/47.2	0.9212	0.8645
4	24.62	4.63	1.6172/53.0	0.9112	0.3721
5	45.24	29.17	1.5184/60.3	0.8321	1.7080
6	−12.64	1.39		0.3595	1.6200
7	−50.53	5.00		0.3607	−0.0840
8	800.00	5.50		0.3455	0.3048
9	−25.85			0.3336	0.9962

d-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	6.5979	2.1382	0.6929	1.0507	0.5651
2	−1.5134	0.4731	−0.1479	−0.0616	0.0655
3	−0.1998	−0.1882	−0.1772	−0.6967	−0.8228
4	6.5649	2.7427	1.1458	1.6300	1.1597
5	0.0239	0.1339	0.7509	−0.8871	−0.7638
6	−11.9832	−5.7120	−2.7226	−3.0196	−2.7371
7	0.1335	−0.2077	0.3231	0.7552	−1.6776
8	−0.0039	0.0366	−0.3474	0.0427	2.8940
9	1.4903	0.8504	0.4853	1.3207	1.0305
∑	1.1103	0.2671	0.0030	0.1343	−0.2865

g-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	6.6373	2.1509	0.6971	1.0639	0.5707
2	−1.6879	0.5210	−0.1608	−0.0669	0.0703
3	−0.2329	−0.2148	−0.1981	−0.7132	−0.8408
4	6.8869	2.8541	1.1828	1.6559	1.1765
5	0.0231	0.1331	0.7675	−0.9012	−0.7712
6	−11.9831	−5.7097	−2.7205	−3.0625	−2.7555
7	0.1245	−0.2017	0.3261	0.7659	−1.7702
8	−0.0032	0.0328	−0.3374	0.0433	3.0296
9	1.4583	0.8123	0.4524	1.3384	0.9975
∑	1.1767	0.3780	0.0097	0.1237	−0.2928

d-line
Elements and paraxial ray
	R	d	n/ν	h	β
1	35.00	4.5	1.4875/70.0	1.0	0.9364
2	^∞	1.0	1.7400/28.2	0.9579	1.3928
3	−218.00	2.0	1.6704/47.2	0.9439	0.6163
4	83.82	5.0	1.5407/47.2	0.9316	0.2500
5	35.55	5.0	1.6704/47.2	0.9191	1.1873
6	112.41	35.0		0.8597	1.4705
7	−16.02	1.0		0.3445	0.2000
8	−439.44	4.0		0.3425	0.3502
9	120.00	4.0		0.3285	0.3195
10	−45.39			0.3157	1.0000

d-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	5.1389	1.7986	0.6295	0.9364	0.5481
2	1.4185	−1.0184	0.7312	0.0	−0.5250
3	−3.2683	1.7570	−0.9445	−0.1951	0.6126
4	−0.0720	−0.0938	−0.1221	−0.5074	−0.8194
5	2.3099	1.3397	0.7749	1.1290	1.1042
6	0.3253	−0.4867	0.7282	−0.3570	−0.5554
7	−6.0534	−3.2282	−1.7216	−2.1903	−2.0862
8	0.0138	−0.0752	0.4080	0.0799	−2.6491
9	−0.0003	0.0114	−0.4343	0.3345	3.7979
10	0.7339	0.0795	0.0086	0.8842	0.0968
∑	0.5462	0.0839	0.0580	0.1141	−0.4755

g-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	5.1690	1.8091	0.6332	0.9473	0.5531
2	1.5069	−1.0634	0.7504	0.0	−0.5296
3	−3.4642	1.8384	−0.9756	−0.2002	0.6240
4	−0.0896	−0.1133	−0.1431	−0.5207	−0.8389
5	2.4763	1.4194	0.8135	1.1470	1.1237
6	0.3361	−0.4988	0.7404	−0.3627	−0.5605
7	−6.1055	−3.2492	−1.7292	−3.9573	0.0895
8	0.0120	−0.0693	0.4019	0.4831	0.4914
9	−0.0002	0.0079	−0.4155	−0.0757	0.0759
10	0.7394	0.0804	0.0087	0.9071	0.0847
∑	0.5803	0.1610	0.0847	0.1019	−0.4526

d-line
Elements and paraxia ray
	R	d	n/ν	h	β
1	44.00	5.0	1.6073/59.5	1.0	0 0.8587
2	173.07	0.2	1.5163/64.0	0.9571	1.0444
3	28.80	18.0	1.6727/32.2	0.9550	1.8179
4	−800.00	1.5	1.5400/59.6	0.6278	1.6406
5	21.09	26.0	1.6237/47.0	0.6032	0.8200
6	−17.70	1.5		0.3900	−0.2400
7	−36.13	0.5		0.3936	0.2186
8	300.00	6.0		0.3925	0.1849
9	−33.99			0.3814	1.0000

d-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	2.7595	1.2142	0.5342	0.8587	0.6129
2	0.1179	−0.2468	0.5168	−0.2183	−0.6250
3	0.7611	0.3772	0.1870	1.1823	0.6787
4	−1.1318	0.3636	−0.1168	−0.0077	0.0400
5	−0.4038	−0.4316	−0.4613	−1.9072	−2.5318
6	−3.4777	−1.7859	−0.9171	−1.9810	−1.4883
7	0.2520	−0.1305	0.0675	0.9705	−0.5373
8	−0.0003	0.0087	−0.2410	0.1280	3.1150
9	1.5217	0.7134	0.3344	1.1302	0.6866
∑	0.3987	0.0824	−0.0963	0.1551	−0.0492

g-line	Seidel’s coefficients
	S	SΘ	SΘ²	P	D

1	2.7732	1.2202	0.5369	0.8697	0.6189
2	0.1336	−0.2676	0.5361	−0.2211	−0.6309
3	0.6752	0.3448	0.1761	1.1972	0.7013
4	−1.2747	0.3891	−0.1188	−0.0084	0.0388
5	−0.3853	−0.4205	−0.4590	−1.9525	−2.6318
6	−3.4003	−1.7946	−0.9471	−2.0075	−1.5594
7	0.2360	−0.1270	0.0684	0.9835	−0.5661
8	−0.0002	0.0065	−0.2252	0.1301	3.2723
9	1.5244	0.7445	0.3636	1.1487	0.7386
∑	0.2819	0.0954	−0.0690	0.1398	−0.0183

Abstract

Cited By

Figures (11)

Tables (9)

Equations (9)

Journal of the Optical Society of America