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Double-Gauss lens

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388: 755: 743: 731: 133: 323: 24: 1267: 576:(1951, Japan) in M39 mount for Rangefinder cameras. By enlarging the rear group significantly (compared to a Double-Gauss type of more traditional focal length), the field of view was increased while keeping the aperture relatively large- making it, for a time, the fastest 28mm lens available for 35mm cameras by a large margin. 156:
on the object side and a negative meniscus lens on the image side. In Clark's symmetric arrangement, this makes four elements in four groups: two positive meniscus lenses on the outside with two negative meniscus lenses inside them. The symmetry of the system and the splitting of the optical power
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of the twentieth century, producing dozens of major variants, scores of minor variants, hundreds of marketed lenses and tens of millions of unit sales. It has few flaws, most notably a small amount of oblique spherical aberration, which could lower peripheral contrast. Double Gauss/Planar tweaks
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There are many variations of the design. Sometimes extra lens elements are added. The basic lens type is one of the most developed and used photographic lenses. The design forms the basis for many camera lenses in use today, especially the wide-aperture
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have been dominant since the 1980s and so there have been few newly designed Double Gauss normal lenses, but many new prestige low production Double Gauss lenses have been released. Compare the Canon EF 50mm
1265:, Tomokazu Kazamaki & Yasuo Takahashi, "Large aperture seven-lens objective lens system", published June 24, 1969, assigned to Asahi Kogaku Kogyo Kabushiki Kaisha 474:, making an excellent value-for-money accessory today for any digital camera with APS-C and Full-Frame sized sensor, though an appropriate M42 adaptor is required for this particular lens. 1725: 1054: 259:
further refined the design in 1888 by taking two of these lenses and placing them back to back, making a "double Gauss" design, albeit with indifferent photographic results.
1690: 1509: 1236: 1335: 829: 478: 444:, originally designed in 1927, had a six element asymmetric double Gauss formula. Post-World War II Zeiss (Oberkochen, West Germany) no longer uses the 384:
fast design with seven elements in five groups, which influenced later fast speed lens designs, being cited by many lens manufacturers until the 1960s.
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designs, which were licensed to various other manufacturers. In 1927, Lee modified the Opic design and increase the maximum aperture up to
1606: 861:. It is also used as the basis for faster designs, with elements added, such as a seventh element as in both Canon and Nikon's 50 mm 340:
Later the design was developed with additional glasses to give high-performance lenses of wide aperture. The main development was due to
1722: 489:(1925, Germany). For example, three asymmetric Double Gauss lenses were produced in 1934 for Ihagee VP Exakta (1933, Germany) the type 1698: 569:
for the Leica M3 (1953, West Germany). A notable, but largely-forgotten, use of the Double-Gauss formula was in the Canon 28mm
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lens. It was commercially unsuccessful, but its asymmetry is the foundation of the modern double Gauss, including the Zeiss
1543: 1569: 1749: 1517: 1147: 969: 721:(New) for the Nikon F2 (lens 1976, camera 1971); all from Japan except the Zeiss which was designed in West Germany. 1240: 1214: 1366: 1343: 920: 121: 1744: 851: 953: 440:
Zeiss Ikon (Dresden) Contax S (1949, East Germany), the first pentaprism eye-level viewing 35mm SLR. The
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formed the basis for most normal and near-normal prime lens designs with wide apertures for sixty years.
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Several contemporaneous competing, but less famous lenses, were similar to the Biotar, such as
1142:(2003 reprint ed.). Small Dole, West Sussex, UK: Hove Collectors Books. pp. 25–26. 1122:, Albrecht Wilhelm Tronnier, "Photographisches Objektiv", published 30 April 1925 1069: 230: 109: 1405: 615:
type double Gauss normal lenses jockeying for sales. For example, compare the Tokyo Optical
1647: 1450: 1427: 437: 281: 233: 226: 8: 486: 429:(Germany) appeared on the Ihagee Kine Exakta (1936, Germany), the first widely available 158: 117: 1472: 1304:
An Outline of Facts You Should Know About: Olympus FTography. (Dealer information guide)
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The design is presently used in inexpensive-but-high-quality fast lenses such as the
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used with 35 mm and other small-format cameras. It can offer good results up to
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Current double Gauss lenses can be traced back to an 1895 improved design, when
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consisting of closely spaced positive and negative menisci, invented in 1817 by
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Beseler Topcon Super D: With Behind Mirror Meter System. (Instruction manual)
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thickened the interior negative menisci and converted to them to cemented
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for the Konica Autoreflex T3 (lens 1974, camera 1973) and Nippon Kogaku
995:, Alvan G. Clark, "Photographic Lens", issued 1889-March-12 145: 525:
Other early Double Gauss variants for 35mm cameras included the Kodak
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Photographic Optics, a Modern Approach to the Technique of Definition
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1.4 offerings or an aspherical seventh element in Canon's 50 mm
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of two elements of equal refraction but differing dispersion for the
1033:, Horace William Lee, "Lens", published November 5, 1935 322: 1070:"Inside Straight: Optical Miracle: The amazing story of the Biotar" 490: 430: 170: 132: 189:
1.0 can have eight or more elements, while more moderate aperture
1014:, Paul Rudolph, "Objective Glass", issued 1897-May-25 1261: 295:
added a slight asymmetry to the Planar in 1920, and created the
879:. The design appears in other applications where a simple fast 23: 655:(v2) for the Canon FT (lens 1968, camera 1966), Asahi Optical 558:
on the Voigtländer Vitessa (1951, West Germany) and the Leitz
1648:"SLR Magic announces HyperPrime CINE 50mm T0.95 M-mount lens" 1473:"Konica SLR lenses 1960–1987: Konica Hexanon AR 50 mm / F1.4" 1430:[The optical schemata of Minolta MC/MD Rokkor lenses] 1394:
Tokyo, Japan: Asahi Optical Co., Ltd., September 1972. p. 28.
666:(v2) for the Pentax Spotmatic (lens 1968, camera 1964), Fuji 418:
for cinematography. Its still photography version, the Zeiss
607:(v2). During the 1960s to early 80s every optical house had 448:
name; instead lumping all double Gauss variants under the
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The Double Gauss was likely the most intensively studied
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for the Olympus Pen F (lens 1964, camera 1963), Yashica
1166:. Rochester, NY: Eastman Kodak Co. c. 1939. p. 36. 373:
lens. Further improvement was done by Lee in 1930, the
1510:"Lenses (EF Mount): EF50mm f/1.2L USM: specifications" 1451:"The Last German 35mm film cameras / Rolleiflex SL350" 1324:(Brochure) no publication data, but circa 1974. p. 13. 579: 1544:"Lenses (EF Mount): EF50mm f/1.2L USM: block diagram" 821:(2009, Germany) with their antecedents, or SLR Magic 407:
series. In the same year of 1927, Zeiss designed the
1594:. Kawasaki, Kanagawa, Japan: Sigma Corp. p. 15. 1537: 1535: 1336:"Lenses (FL Mount): FL50mm f/1.4II: specifications" 1194:"History of fast 35mm and small format film lenses" 883:is required (≈53° diagonal) such as in projectors. 536:on the Kodak Bantam Special (1936, USA), the Kodak 1428:"ОПТИЧЕСКИЕ СХЕМЫ ОБЪЕКТИВОВ MINOLTA MC/MD ROKKOR" 1367:"Lenses (FL Mount): FL50mm f/1.4II: block diagram" 1029: 957: 908: 1532: 547:for the Kodak Ektra (1941, USA), the Voigtländer 1736: 1310:. Los Angeles, CA: Ponder & Best. p. 6. 626:for the Topcon RE Super/Super D (1963), Olympus 470:camera was the most common version/clone of the 436:, in 1939. It was also the standard lens on the 144:in 1888, consists of two symmetrically-arranged 964:. San Diego: Academic Press. pp. 117–130. 648:for the Yashica TL Super (1967), Canon FL 50mm 1723:A brief description of the double Gauss design 1634:LEICA NOCTILUX-M 50 mm f/0.95 ASPH. (Brochure) 1501: 1164:Kodak Lenses & Shutters (Promotional book) 596:type, developing the seven-element, six-group 1636:. Solms, Germany: Leica Camera AG. p. 1. 1181:. Rochester, NY: Eastman Kodak Co. p. 9. 196:versions can be simplified to five elements. 1492: 1448: 1300: 1280: 1191: 1176: 1076:. Vol. 71, no. 5. pp. 32–33. 795:G (2008, Japan/China), Sigma EX DG HSM 50mm 284:. It was the original six element symmetric 140:The earliest double Gauss lens, patented by 1392:Asahi Pentax Spotmatic II Operating Manual. 1137: 944: 942: 940: 938: 936: 934: 932: 1497:. Garden City, NY: Nikon Corp. p. 26. 1237:"Canon Serenar 28mm f/3.5 I Block Diagram" 825:50mm CINE T0.95 (2012, Hong Kong, China). 22: 1631: 1589: 948: 1470: 929: 699:for the Rolleiflex SL350 (1974), Konica 688:for the Minolta XK/XM/X-1 (1973), Zeiss 677:for the Fujica ST701 (1971), Minolta MC 386: 321: 131: 1138:Aguila, Clément; Rouah, Michel (1987). 1067: 1737: 1604: 1567: 1541: 1507: 1425: 1403: 1364: 1333: 902: 900: 898: 896: 725:History of Double Gauss lens designs 297:Taylor, Taylor & Hobson Series 0 212: 906: 580:Later development and proliferation 148:. Each Gauss lens is a two-element 13: 960:A History of the Photographic Lens 893: 14: 1761: 1716: 1074:Popular Photography & Imaging 819:Leica Noctilux-M 50mm f/0.95 ASPH 765: 403:is another competitor of British 317: 1548:Canon Camera Museum: Camera Hall 1514:Canon Camera Museum: Camera Hall 1371:Canon Camera Museum: Camera Hall 1340:Canon Camera Museum: Camera Hall 1179:Kodak Ektra (Instruction manual) 753: 741: 729: 1683: 1665: 1640: 1625: 1598: 1583: 1561: 1486: 1464: 1442: 1419: 1397: 1384: 1358: 1327: 1314: 1294: 1274: 1255: 1229: 1207: 1185: 1170: 1156: 1131: 344:in the 1920s, resulting in the 157:into many elements reduces the 136:Development of the Double Gauss 1677:Canon Camera Museum: Lens Hall 1112: 1088: 1061: 1042: 1023: 1004: 985: 280:design of 1896 to correct for 1: 1068:Keppler, Herbert (May 2007). 886: 1215:"Canon Serenar 28mm f/3.5 I" 1052:, published Sep 30, 1927 63:; Taylor, Taylor and Hobson 7: 1239:. Canon INC. Archived from 511:, as well as the Dallmeyer 10: 1766: 1652:Digital Photography Review 434:single-lens reflex cameras 207: 1750:Photographic lens designs 1607:"L&VM standard- Lens" 1570:"AF-S NIKKOR 50mm f/1.4G" 1140:Exakta Cameras, 1933–1978 1010: 991: 954:"8. Meniscus Anastigmats" 784:USM (2007, Japan), Nikon 229:as an improvement to the 217:The original two element 127: 98:4–6 elements in 4+ groups 94: 76: 30: 21: 1691:"AF Nikkor 50mm f/1.4D" 1590:Anonymous (June 2008). 1495:Nikon: Dealer Catalogue 1406:"EBC FUJINON 50MM F1.4" 915:. London: Focal Press. 454:name. The Soviet 58mm 396: 369:, which was named the 337: 137: 1592:SIGMA: Lens Catalogue 1493:Anonymous (c. 1987). 1301:Anonymous (c. 1966). 1281:Anonymous (c. 1966). 1177:Anonymous (c. 1941). 503:versions of both the 390: 325: 135: 1012:US patent 583336 993:US patent 399499 907:Cox, Arthur (1971). 282:chromatic aberration 234:Achromatic telescope 227:Carl Friedrich Gauss 1745:Photographic lenses 1613:on 26 December 2009 1346:on 24 February 2010 1100:www.photohistory.ru 590:Super Speed Panchro 487:Schneider Kreuznach 375:Super Speed Panchro 291:double Gauss lens. 161:within the system. 159:optical aberrations 118:optical aberrations 18: 1728:2006-05-17 at the 1673:"EF50mm f/1.4 USM" 1632:Anonymous (2009). 1520:on 22 October 2007 1449:Frank Mechelhoff. 1192:Frank Mechelhoff. 496:camera: 8 cm 397: 338: 293:Horace William Lee 253:Alvan Graham Clark 142:Alvan Graham Clark 138: 89:Horace William Lee 81:Alvan Graham Clark 31:Introduced in 16: 950:Kingslake, Rudolf 479:Albrecht Tronnier 299:(also called the 257:Bausch & Lomb 213:Early development 106:double Gauss lens 102: 101: 1757: 1710: 1709: 1707: 1706: 1697:. Archived from 1687: 1681: 1680: 1669: 1663: 1662: 1660: 1658: 1644: 1638: 1637: 1629: 1623: 1622: 1620: 1618: 1609:. Archived from 1602: 1596: 1595: 1587: 1581: 1580: 1578: 1576: 1565: 1559: 1558: 1556: 1554: 1539: 1530: 1529: 1527: 1525: 1516:. Archived from 1505: 1499: 1498: 1490: 1484: 1483: 1481: 1479: 1468: 1462: 1461: 1459: 1457: 1446: 1440: 1439: 1437: 1435: 1423: 1417: 1416: 1414: 1412: 1401: 1395: 1388: 1382: 1381: 1379: 1377: 1362: 1356: 1355: 1353: 1351: 1342:. Archived from 1331: 1325: 1322:Yashinon Lenses. 1318: 1312: 1311: 1309: 1298: 1292: 1291: 1289: 1278: 1272: 1271: 1270: 1266: 1259: 1253: 1252: 1250: 1248: 1233: 1227: 1226: 1224: 1222: 1211: 1205: 1204: 1202: 1200: 1189: 1183: 1182: 1174: 1168: 1167: 1160: 1154: 1153: 1135: 1129: 1128: 1127: 1123: 1116: 1110: 1109: 1107: 1106: 1092: 1086: 1085: 1065: 1059: 1058: 1057: 1053: 1046: 1040: 1039: 1038: 1034: 1027: 1021: 1020: 1019: 1015: 1008: 1002: 1001: 1000: 996: 989: 983: 982: 980: 978: 963: 946: 927: 926: 914: 904: 874: 872: 867: 865: 858: 856: 847: 845: 836: 834: 816: 814: 802:(2008, Japan), ( 801: 799: 794: 792: 780: 778: 757: 745: 733: 720: 718: 709: 707: 698: 696: 687: 685: 676: 674: 665: 663: 654: 652: 647: 645: 636: 634: 625: 623: 606: 604: 575: 573: 568: 566: 557: 555: 546: 544: 535: 533: 521: 519: 502: 500: 460: 458: 428: 426: 417: 415: 383: 381: 368: 366: 350: 348: 336: 334: 309: 307: 290: 288: 221:was a telescope 195: 193: 188: 186: 176: 174: 152:with a positive 112:used 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single 237:objective lens 223:objective lens 214: 211: 209: 206: 129: 126: 100: 99: 96: 92: 91: 78: 74: 73: 71: 70: 69: 68: 57: 44: 34: 32: 28: 27: 9: 6: 4: 3: 2: 1762: 1751: 1748: 1746: 1743: 1742: 1740: 1731: 1727: 1724: 1721: 1720: 1701:on 2011-02-20 1700: 1696: 1695:Nikon Imaging 1692: 1686: 1678: 1674: 1668: 1653: 1649: 1643: 1635: 1628: 1612: 1608: 1601: 1593: 1586: 1571: 1564: 1549: 1545: 1538: 1536: 1519: 1515: 1511: 1504: 1496: 1489: 1474: 1467: 1452: 1445: 1429: 1422: 1407: 1400: 1393: 1387: 1372: 1368: 1361: 1345: 1341: 1337: 1330: 1323: 1317: 1306: 1305: 1297: 1290:. p. 40. 1286: 1285: 1277: 1264: 1258: 1242: 1238: 1232: 1216: 1210: 1195: 1188: 1180: 1173: 1165: 1159: 1151: 1149:0-906447-38-0 1145: 1141: 1134: 1121: 1115: 1101: 1097: 1091: 1083: 1079: 1075: 1071: 1064: 1051: 1045: 1032: 1026: 1013: 1007: 994: 988: 973: 971:0-12-408640-3 967: 962: 961: 955: 951: 945: 943: 941: 939: 937: 935: 933: 924: 918: 913: 912: 903: 901: 899: 897: 892: 884: 882: 878: 860: 849: 838: 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It was a 122:focal plane 1739:Categories 1705:2010-07-01 1434:25 January 1411:25 January 1263:US 3451745 1105:2018-08-24 1031:US 2019985 922:0817406654 887:References 823:HyperPrime 701:Hexanon AR 690:Planar HFT 231:Fraunhofer 1657:1 January 1617:4 January 1575:4 January 1553:4 January 1524:4 January 1376:7 January 1350:7 January 1120:DE 439556 1082:1542-0337 1050:DE 485789 760:1978–2010 748:1964–1977 736:1936–1964 714:(K) 50mm 679:Rokkor-PG 584:In 1966, 560:Summicron 513:Super Six 463:Helios-44 1726:Archived 1456:30 April 1199:30 April 952:(1989). 850:and the 641:DX 50mm 628:G. Zuiko 611:type or 301:Lee Opic 272:doublets 668:Fujinon 405:Panchro 395:diagram 249:concave 208:History 48:Rudolph 1269:  1146:  1126:  1080:  1056:  1037:  1018:  999:  968:  919:  839:, the 808:Nokton 804:Cosina 712:Nikkor 549:Ultron 522:(UK). 505:Biotar 472:Biotar 451:Planar 446:Biotar 442:Biotar 420:Biotar 409:Biotar 401:Biotar 393:Biotar 391:Zeiss 328:Biotar 326:Zeiss 312:Biotar 303:, UK) 245:convex 128:Design 87:, and 77:Author 59:1920 ( 46:1896 ( 39:1888 ( 1308:(PDF) 1288:(PDF) 810:50mm 788:50mm 703:50mm 692:50mm 681:50mm 670:50mm 659:50mm 600:50mm 594:Xenon 562:50mm 551:50mm 540:50mm 538:Ektar 529:45mm 527:Ektar 509:Xenon 483:Xenon 468:Zenit 422:58mm 411:50mm 330:58mm 219:Gauss 108:is a 41:Clark 1659:2012 1619:2010 1577:2010 1555:2010 1526:2010 1480:2010 1458:2008 1436:2010 1413:2010 1378:2010 1352:2010 1249:2012 1223:2012 1201:2008 1144:ISBN 1078:ISSN 979:2024 966:ISBN 917:ISBN 815:/1.1 800:/1.4 793:/1.4 779:/1.2 719:/1.4 708:/1.4 697:/1.4 686:/1.4 675:/1.4 664:/1.4 653:/1.4 646:/1.4 635:/1.4 624:/1.4 605:/1.4 574:/3.5 545:/1.9 520:/1.9 507:and 485:for 431:35mm 416:/1.4 399:The 382:/1.5 367:/1.4 353:Opic 349:/2.0 289:/4.5 255:and 247:and 194:/2.8 175:/1.4 104:The 65:Opic 875:1.2 848:1.8 837:1.8 494:SLR 481:'s 438:VEB 266:of 61:Lee 1741:: 1693:. 1675:. 1650:. 1546:. 1534:^ 1512:. 1369:. 1338:. 1098:. 1072:. 956:. 931:^ 895:^ 567:/2 556:/2 534:/2 501:/2 459:/2 427:/2 335:/2 314:. 308:/2 124:. 83:, 50:; 1708:. 1679:. 1661:. 1621:. 1579:. 1557:. 1528:. 1482:. 1460:. 1438:. 1415:. 1380:. 1354:. 1251:. 1225:. 1203:. 1152:. 1108:. 1084:. 981:. 925:. 877:L 873:/ 871:f 866:/ 864:f 857:/ 855:f 846:/ 844:f 835:/ 833:f 813:f 798:f 791:f 782:L 777:f 717:f 706:f 695:f 684:f 673:f 662:f 651:f 644:f 633:f 622:f 603:f 572:f 565:f 554:f 543:f 532:f 518:f 499:f 457:f 425:f 414:f 380:f 365:f 347:f 333:f 306:f 287:f 192:f 187:/ 185:f 173:f 67:) 56:) 43:)

Index


Clark
Rudolph
Zeiss Planar
Lee
Alvan Graham Clark
Paul Rudolph
Horace William Lee
compound lens
camera lenses
optical aberrations
focal plane

Alvan Graham Clark
Gauss lenses
achromatic lens
meniscus lens
optical aberrations
standard lenses
f/1.4
field of view
lens formula
objective lens
Carl Friedrich Gauss
Fraunhofer
Achromatic telescope
objective lens
meniscus lens
convex
concave

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