Knowledge (XXG)

Focal length

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1272: 1624: 3678: 409: 1205: 3689: 43: 1183: 1171: 1159: 1147: 140: 588: 1607:, camera–lens combinations are often described in terms of their 35 mm-equivalent focal length, that is, the focal length of a lens that would have the same angle of view, or field of view, if used on a full-frame 35 mm camera. Use of a 35 mm-equivalent focal length is particularly common with 1275:
In this computer simulation, adjusting the field of view (by changing the focal length) while keeping the subject in frame (by changing accordingly the position of the camera) results in vastly differing images. At focal lengths approaching infinity (0 degrees of angle of view), the light rays are
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in the diagram above). The term "focal length" by itself is ambiguous in this case. The historical usage was to define the "focal length" as the EFL times the index of refraction of the medium. For a system with different media on both sides, such as the human eye, the front and rear focal lengths
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lens is somewhat more difficult. The focal length of such a lens is defined as the point at which the spreading beams of light meet when they are extended backwards. No image is formed during such a test, and the focal length must be determined by passing light (for example, the light of a laser
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The distinction between front/rear focal length and EFL is important for studying the human eye. The eye can be represented by an equivalent thin lens at an air/fluid boundary with front and rear focal lengths equal to those of the eye, or it can be represented by a
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in which magnification is achieved by bringing the object close to the lens, a shorter focal length (higher optical power) leads to higher magnification because the subject can be brought closer to the center of projection.
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of the mirror divided by two. The focal length is positive for a concave mirror, and negative for a convex mirror. In the sign convention used in optical design, a concave mirror has negative radius of curvature, so
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are not equal to one another, and convention may dictate which one is called "the focal length" of the system. Some modern authors avoid this ambiguity by instead defining "focal length" to be a synonym for EFL.
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is negative if the second surface is convex, and positive if concave. Sign conventions vary between different authors, which results in different forms of these equations depending on the convention used.
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of the system. The imaging properties of the optical system can be modeled by replacing the system with an ideal thin lens with the same EFL. The EFL also provides a simple method for finding the
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are placed close together their powers approximately add. Thus, a thin 2.0-dioptre lens placed close to a thin 0.5-dioptre lens yields almost the same focal length as a single 2.5-dioptre lens.
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To render closer objects in sharp focus, the lens must be adjusted to increase the distance between the rear principal plane and the film, to put the film at the image plane. The focal length
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35 mm-format cameras, the diagonal is 43 mm and a typical "normal" lens has a 50 mm focal length. A lens with a focal length shorter than normal is often referred to as a
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must be located to form a collimated beam. For more general optical systems, the focal length has no intuitive meaning; it is simply the inverse of the system's optical power.
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lens can be easily measured by using it to form an image of a distant light source on a screen. The lens is moved until a sharp image is formed on the screen. In this case
3593: 2014: 1611:, which often use sensors smaller than 35 mm film, and so require correspondingly shorter focal lengths to achieve a given angle of view, by a factor known as the 222:; conversely, shorter focal length or higher optical power is associated with lower magnification and a wider angle of view. On the other hand, in applications such as 1276:
nearly parallel to each other, resulting in the subject looking "flattened". At small focal lengths (bigger field of view), the subject appears "foreshortened".
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For an optical system in air the effective focal length, front focal length, and rear focal length are all the same and may be called simply "focal length".
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The focal length of a lens determines the magnification at which it images distant objects. It is equal to the distance between the image plane and a
255:), the focal length is negative and is the distance to the point from which a collimated beam appears to be diverging after passing through the lens. 400:
beam) through the lens, examining how much that light becomes dispersed/ bent, and following the beam of light backwards to the lens's focal point.
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Camera lens focal lengths are usually specified in millimetres (mm), but some older lenses are marked in centimetres (cm) or inches.
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For an optical system in a medium other than air or vacuum, the front and rear focal lengths are equal to the EFL times the
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more sharply, bringing them to a focus in a shorter distance or diverging them more quickly. For the special case of a
3729: 3714: 3618: 2895: 2397: 3037: 1084: 828:{\displaystyle {\frac {1}{f}}=(n-1)\left({\frac {1}{R_{1}}}-{\frac {1}{R_{2}}}+{\frac {(n-1)d}{nR_{1}R_{2}}}\right),} 1534:
50 mm from the film plane, so that it is at the location of the image plane. To focus an object 1 m away (
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metre. A flat window has an optical power of zero dioptres, as it does not cause light to converge or diverge.
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A lens with a focal length about equal to the diagonal size of the film or sensor format is known as a
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lens (one which has a non-negligible thickness), or an imaging system consisting of several lenses or
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will be positive if the first lens surface is convex, and negative if it is concave. The value of
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has the object distance, image distance, and focal length all as reciprocals. Additionally, when
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When a lens is used to form an image of some object, the distance from the object to the lens
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of a positive (convex) lens, a negative (concave) lens, a concave mirror, and a convex mirror.
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of a camera; in this case, the angle of view depends only on the ratio of focal length to
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1,000 mm), the lens must be moved 2.6 mm farther away from the film plane, to
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equivalent thin lens that is totally in air, with focal length equal to the eye's EFL.
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An example of how lens choice affects angle of view. The photos above were taken by a
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For a thin lens in air, the focal length is the distance from the center of the
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for more information on the sign convention for radius of curvature used here.
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The main benefit of using optical power rather than focal length is that the
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Simpson, Michael J. (24 February 2023). "Focal Length, EFL, and the Eye".
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Illustration of the relationship between optical power and focal length
1472:{\displaystyle {\frac {1}{s_{1}}}+{\frac {1}{s_{2}}}={\frac {1}{f}}\,.} 247:), the focal length is positive and is the distance at which a beam of 1867: 1800: 1035:{\displaystyle {\mbox{BFD}}=f\left(1-{\frac {(n-1)d}{nR_{1}}}\right).} 947:{\displaystyle {\mbox{FFD}}=f\left(1+{\frac {(n-1)d}{nR_{2}}}\right),} 251:
will be focused to a single spot. For a diverging lens (for example a
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in air, a positive focal length is the distance over which initially
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system is a measure of how strongly the system converges or diverges
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Measure of how strongly an optical system converges or diverges light
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is separated from the sensor or film, which is then situated at the
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Simpson, Michael J. (28 March 2022). "Nodal points and the eye".
1675:, 1 dioptre = 1 m. For example, a 2-dioptre lens brings parallel 1581:. In general, the angle of view depends also on the distortion. 1359:{\textstyle \mathrm {FOV} =2\arctan {\left({x \over 2f}\right)}} 2073: 325:{\displaystyle {\frac {1}{f}}={\frac {1}{u}}+{\frac {1}{v}}\ .} 179:
light, while a negative focal length indicates that the system
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Images of black letters in a thin convex lens of focal length
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of an optical system, and is the value used to calculate the
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distant objects the same size as the lens in question. For
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Hecht, Eugene (2017). "6.1 thick Lenses and Lens systems".
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in air, the magnitude of the focal length is equal to the
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is the refractive index of the lens medium. The quantity
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When a photographic lens is set to "infinity", its rear
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are shown in red. Selected rays are shown for letters
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is negligible, and the focal length is then given by
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light. A system with a shorter focal length bends the
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is the radius of curvature of the mirror's surface.
243:) of the lens. For a converging lens (for example a 3629: 3576: 3481: 3424: 3330: 3214: 3126: 3078: 2818: 2585: 2385: 2107: 451:without tracing any rays. It was previously called 67:. Unsourced material may be challenged and removed. 1977: 1944: 1471: 1358: 1112: 1034: 946: 827: 384: 324: 175:. A positive focal length indicates that a system 439:The effective focal length is the inverse of the 1267:) has a double-size, virtual and upright image. 1235:) has an equal-size, real and inverted image; 606:of the medium in front of or behind the lens ( 591:Sketch of human eye showing rear focal length 493:is the distance from the rear principal plane 2085: 1742: 1740: 1738: 1736: 8: 1976:Stroebel, Leslie; Zakia, Richard D. (1993). 1370:is the width of the film or imaging sensor. 1198:camera at a fixed distance from the subject. 3637:Conservation and restoration of photographs 1499:must be increased. For example, consider a 469:is the distance from the front focal point 3374:Comparison of digital and film photography 2092: 2078: 2070: 866:The corresponding front focal distance is: 262:, the distance from the lens to the image 3594:Photographs considered the most important 1465: 1455: 1444: 1435: 1424: 1415: 1413: 1336: 1331: 1308: 1306: 1224:in blue, green and orange, respectively. 1097: 1086: 1015: 985: 961: 959: 927: 897: 873: 871: 808: 798: 768: 757: 748: 737: 728: 695: 693: 562:) is the distance from the vertex of the 365: 306: 293: 280: 278: 127:Learn how and when to remove this message 1812: 1810: 1732: 1514:50 mm. To focus a distant object ( 1893:(5th ed.). Pearson. p. 257. 1980:The Focal encyclopedia of photography 1774: 1772: 7: 636:For the case of a lens of thickness 65:adding citations to reliable sources 3589:Museums devoted to one photographer 3136:Timeline of photography technology 1651:of the focal length, expressed in 1315: 1312: 1309: 457:35 mm-equivalent focal length 395:Determining the focal length of a 25: 2046:Field Guide to Geometrical Optics 1749:Field Guide to Geometrical Optics 1243:) has its image at infinity; and 195:(parallel) rays are brought to a 3687: 3677: 3676: 1181: 1169: 1157: 1145: 513:The front focal distance (FFD) ( 41: 3688: 1113:{\displaystyle f=-{R \over 2},} 52:needs additional citations for 1507:camera with a focal length of 1000: 988: 912: 900: 783: 771: 720: 708: 1: 3186:Painted photography backdrops 3118:Golden triangle (composition) 2393:35 mm equivalent focal length 2044:Greivenkamp, John E. (2004). 1747:Grievenkamp, John E. (2004). 1603:Due to the popularity of the 954:and the back focal distance: 678:, the effective focal length 385:{\displaystyle f\approx v\ .} 2013:Stroebel, Leslie D. (1999). 1131:Radius of curvature (optics) 436:Effective focal length (EFL) 2896:Intentional camera movement 573:) to the rear focal point ( 547:Back focal distance (BFD) ( 335:The focal length of a thin 3746: 3584:Most expensive photographs 2941:Multi-exposure HDR capture 1947:Practical astrophotography 510:Front focal distance (FFD) 239:to the principal foci (or 29: 3672: 2048:. SPIE Field Guides vol. 1943:Charles, Jeffrey (2000). 1072:spherically-curved mirror 544:Back focal distance (BFD) 455:(not to be confused with 3518:Digital image processing 1048:used here, the value of 500:to the rear focal point 462:Front focal length (FFL) 3191:Photography and the law 483:Rear focal length (RFL) 465:The front focal length 453:equivalent focal length 404:General optical systems 266:, and the focal length 231:Thin lens approximation 3725:Science of photography 3538:Gelatin silver process 2562:Science of photography 2547:Photographic processes 2525:Perspective distortion 1914:Hecht, Eugene (2002). 1817:Hecht, Eugene (2002). 1698:relatively thin lenses 1628: 1473: 1360: 1277: 1268: 1114: 1036: 948: 829: 599: 486:The rear focal length 413: 386: 326: 152: 18:Effective focal length 2996:Schlieren photography 2535:Photographic printing 2458:Exposure compensation 2016:View Camera Technique 1951:. Springer. pp.  1679:of light to focus at 1626: 1474: 1406:are then related by: 1361: 1274: 1207: 1115: 1037: 949: 859:is also known as the 830: 657:), and surfaces with 590: 532:first optical surface 411: 387: 327: 142: 32:Flange focal distance 2780:Straight photography 2418:Chromatic aberration 2023:. pp. 135–138. 1922:. pp. 244–245. 1671:, equivalent to one 1571:pinhole camera model 1412: 1305: 1085: 958: 870: 692: 684:Lensmaker's equation 564:last optical surface 364: 277: 61:improve this article 3647:photographic plates 3332:Digital photography 2510:Hyperfocal distance 2423:Circle of confusion 2052:. SPIE. p. 7. 1860:2022ApOpt..61.2797S 1793:2023ApOpt..62.1853S 1661:unit of measurement 1605:35 mm standard 1559:pinhole that images 1076:radius of curvature 3730:Optical quantities 3715:Geometrical optics 3151:Autochrome Lumière 3146:Analog photography 2971:Pigeon photography 2760:Social documentary 2239:discontinued films 1629: 1565:(that is, with no 1563:rectilinear lenses 1469: 1356: 1278: 1269: 1110: 1032: 966: 944: 878: 825: 659:radii of curvature 600: 414: 412:Thick lens diagram 382: 322: 153: 3702: 3701: 3503:Collodion process 3439:Chromogenic print 3426:Color photography 2936:Multiple exposure 2911:Lo-fi photography 2438:Color temperature 2030:978-0-240-80345-6 1999:978-0-240-51417-8 1962:978-1-85233-023-1 1900:978-1-292-09693-3 1868:10.1364/AO.455464 1854:(10): 2797–2804. 1801:10.1364/AO.481805 1762:978-0-8194-5294-8 1694:thin lens formula 1669:reciprocal length 1645:physical quantity 1463: 1450: 1430: 1349: 1105: 1022: 965: 934: 877: 815: 763: 743: 703: 426:photographic lens 378: 318: 314: 301: 288: 147:and focal length 137: 136: 129: 111: 16:(Redirected from 3737: 3691: 3690: 3680: 3679: 3558:Print permanence 3508:Cross processing 3466:CMYK color model 3451:Color management 3404:Foveon X3 sensor 3399:Three-CCD camera 3043:Miniature faking 3001:Sabattier effect 2613:Astrophotography 2468:Zebra patterning 2094: 2087: 2080: 2071: 2064: 2063: 2041: 2035: 2034: 2010: 2004: 2003: 1984:(3rd ed.). 1983: 1973: 1967: 1966: 1950: 1940: 1934: 1933: 1918:(4th ed.). 1911: 1905: 1904: 1886: 1880: 1879: 1843: 1837: 1836: 1821:(4th ed.). 1814: 1805: 1804: 1787:(7): 1853–1857. 1776: 1767: 1766: 1755:. pp. 6–9. 1744: 1688: 1687: 1683: 1673:reciprocal metre 1567:image distortion 1553: 1543: 1533: 1523: 1513: 1498: 1489: 1478: 1476: 1475: 1470: 1464: 1456: 1451: 1449: 1448: 1436: 1431: 1429: 1428: 1416: 1405: 1396: 1387: 1369: 1365: 1363: 1362: 1357: 1355: 1354: 1350: 1348: 1337: 1318: 1299:rectilinear lens 1292: 1289: 1286: 1266: 1265: 1263: 1262: 1259: 1256: 1242: 1234: 1211: 1188:210 mm lens 1185: 1173: 1161: 1149: 1125: 1119: 1117: 1116: 1111: 1106: 1098: 1065: 1056: 1041: 1039: 1038: 1033: 1028: 1024: 1023: 1021: 1020: 1019: 1006: 986: 967: 963: 953: 951: 950: 945: 940: 936: 935: 933: 932: 931: 918: 898: 879: 875: 858: 857: 855: 854: 849: 846: 838: 834: 832: 831: 826: 821: 817: 816: 814: 813: 812: 803: 802: 789: 769: 764: 762: 761: 749: 744: 742: 741: 729: 704: 696: 682:is given by the 681: 677: 668: 656: 639: 623: 614: 604:refractive index 597: 596: 579: 578: 572: 561: 559: 553: 540: 525: 521: 506: 505: 499: 498: 492: 491: 479: 472: 468: 391: 389: 388: 383: 376: 356: 354: 353: 348: 345: 331: 329: 328: 323: 316: 315: 307: 302: 294: 289: 281: 249:collimated light 171:of the system's 143:The focal point 132: 125: 121: 118: 112: 110: 69: 45: 37: 21: 3745: 3744: 3740: 3739: 3738: 3736: 3735: 3734: 3705: 3704: 3703: 3698: 3668: 3625: 3572: 3563:Push processing 3484: 3477: 3471:RGB color model 3420: 3326: 3210: 3122: 3088:Diagonal method 3074: 2814: 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868: 867: 850: 847: 844: 843: 841: 840: 836: 804: 794: 790: 770: 753: 733: 727: 723: 690: 689: 679: 676: 670: 667: 661: 654: 647: 641: 637: 622: 616: 613: 607: 594: 592: 576: 574: 571: 567: 566:of the system ( 560: 557: 551: 548: 539: 535: 523: 520: 514: 503: 501: 496: 494: 489: 487: 477: 475:principal plane 470: 466: 406: 362: 361: 349: 346: 343: 342: 340: 275: 274: 270:are related by 233: 218:and a narrower 133: 122: 116: 113: 70: 68: 58: 46: 35: 28: 23: 22: 15: 12: 11: 5: 3743: 3741: 3733: 3732: 3727: 3722: 3717: 3707: 3706: 3700: 3699: 3697: 3696: 3685: 3673: 3670: 3669: 3667: 3666: 3661: 3656: 3651: 3650: 3649: 3644: 3633: 3631: 3627: 3626: 3624: 3623: 3622: 3621: 3616: 3611: 3606: 3596: 3591: 3586: 3580: 3578: 3574: 3573: 3571: 3570: 3565: 3560: 3555: 3550: 3545: 3540: 3535: 3530: 3525: 3520: 3515: 3510: 3505: 3500: 3495: 3489: 3487: 3479: 3478: 3476: 3475: 3474: 3473: 3468: 3463: 3458: 3448: 3443: 3442: 3441: 3430: 3428: 3422: 3421: 3419: 3418: 3413: 3408: 3407: 3406: 3401: 3396: 3391: 3381: 3376: 3371: 3366: 3365: 3364: 3359: 3354: 3353: 3352: 3340:Digital camera 3336: 3334: 3328: 3327: 3325: 3324: 3319: 3314: 3309: 3304: 3299: 3294: 3289: 3284: 3279: 3274: 3269: 3264: 3259: 3254: 3249: 3244: 3239: 3234: 3229: 3224: 3218: 3216: 3212: 3211: 3209: 3208: 3203: 3198: 3193: 3188: 3183: 3178: 3173: 3168: 3166:Camera obscura 3163: 3158: 3153: 3148: 3143: 3138: 3132: 3130: 3124: 3123: 3121: 3120: 3115: 3110: 3108:Rule of thirds 3105: 3100: 3095: 3090: 3084: 3082: 3076: 3075: 3073: 3072: 3067: 3062: 3057: 3052: 3047: 3046: 3045: 3035: 3030: 3029: 3028: 3018: 3013: 3008: 3003: 2998: 2993: 2988: 2983: 2978: 2973: 2968: 2963: 2958: 2953: 2948: 2943: 2938: 2933: 2928: 2923: 2918: 2913: 2908: 2903: 2898: 2893: 2888: 2883: 2878: 2876:Harris shutter 2873: 2871:Hand-colouring 2868: 2863: 2858: 2853: 2848: 2843: 2838: 2833: 2828: 2822: 2820: 2816: 2815: 2813: 2812: 2807: 2802: 2797: 2792: 2787: 2782: 2777: 2772: 2767: 2762: 2757: 2756: 2755: 2745: 2740: 2735: 2730: 2725: 2720: 2715: 2710: 2705: 2700: 2695: 2690: 2685: 2680: 2675: 2670: 2665: 2660: 2655: 2650: 2645: 2640: 2635: 2630: 2625: 2620: 2615: 2610: 2605: 2600: 2595: 2589: 2587: 2583: 2582: 2580: 2579: 2574: 2569: 2564: 2559: 2557:Red-eye effect 2554: 2549: 2544: 2543: 2542: 2532: 2527: 2522: 2517: 2512: 2507: 2502: 2497: 2492: 2491: 2490: 2485: 2475: 2470: 2465: 2463:Exposure value 2460: 2455: 2450: 2448:Depth of focus 2445: 2443:Depth of field 2440: 2435: 2430: 2425: 2420: 2415: 2410: 2405: 2400: 2395: 2389: 2387: 2383: 2382: 2380: 2379: 2374: 2373: 2372: 2362: 2357: 2352: 2347: 2342: 2341: 2340: 2335: 2330: 2325: 2320: 2315: 2310: 2300: 2299: 2298: 2293: 2288: 2283: 2278: 2273: 2268: 2263: 2258: 2248: 2243: 2242: 2241: 2236: 2231: 2226: 2221: 2216: 2206: 2201: 2200: 2199: 2194: 2184: 2183: 2182: 2177: 2172: 2167: 2162: 2157: 2152: 2147: 2142: 2137: 2132: 2127: 2122: 2111: 2109: 2105: 2104: 2099: 2097: 2096: 2089: 2082: 2074: 2066: 2065: 2058: 2036: 2029: 2005: 1998: 1968: 1961: 1935: 1929:978-0805385663 1928: 1920:Addison Wesley 1906: 1899: 1881: 1848:Applied Optics 1838: 1832:978-0805385663 1831: 1823:Addison Wesley 1806: 1781:Applied Optics 1768: 1761: 1731: 1730: 1728: 1725: 1724: 1723: 1722:or focal ratio 1717: 1712: 1710:Depth of field 1705: 1702: 1620: 1617: 1598:telephoto lens 1554:52.6 mm. 1549: 1539: 1529: 1519: 1495: 1490:is decreased, 1486: 1468: 1462: 1459: 1454: 1447: 1443: 1439: 1434: 1427: 1423: 1419: 1402: 1393: 1353: 1347: 1344: 1340: 1335: 1330: 1327: 1324: 1321: 1317: 1314: 1311: 1193: 1192: 1187: 1180: 1179: 1175: 1168: 1167: 1163: 1156: 1155: 1151: 1144: 1143: 1142: 1141: 1140: 1138: 1137:In photography 1135: 1109: 1104: 1101: 1096: 1093: 1090: 1062: 1053: 1031: 1027: 1018: 1014: 1010: 1005: 1002: 999: 996: 993: 990: 984: 981: 977: 973: 970: 943: 939: 930: 926: 922: 917: 914: 911: 908: 905: 902: 896: 893: 889: 885: 882: 824: 820: 811: 807: 801: 797: 793: 788: 785: 782: 779: 776: 773: 767: 760: 756: 752: 747: 740: 736: 732: 726: 722: 719: 716: 713: 710: 707: 702: 699: 674: 665: 652: 645: 632: 620: 611: 582: 581: 569: 555: 545: 542: 537: 518: 511: 508: 484: 481: 463: 460: 437: 405: 402: 393: 392: 381: 375: 372: 369: 333: 332: 321: 313: 310: 305: 300: 297: 292: 287: 284: 232: 229: 135: 134: 76:"Focal length" 49: 47: 40: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3742: 3731: 3728: 3726: 3723: 3721: 3718: 3716: 3713: 3712: 3710: 3695: 3686: 3684: 3675: 3674: 3671: 3665: 3662: 3660: 3657: 3655: 3652: 3648: 3645: 3643: 3640: 3639: 3638: 3635: 3634: 3632: 3628: 3620: 3617: 3615: 3612: 3610: 3607: 3605: 3602: 3601: 3600: 3599:Photographers 3597: 3595: 3592: 3590: 3587: 3585: 3582: 3581: 3579: 3575: 3569: 3566: 3564: 3561: 3559: 3556: 3554: 3551: 3549: 3546: 3544: 3541: 3539: 3536: 3534: 3531: 3529: 3526: 3524: 3521: 3519: 3516: 3514: 3511: 3509: 3506: 3504: 3501: 3499: 3496: 3494: 3493:Bleach bypass 3491: 3490: 3488: 3486: 3480: 3472: 3469: 3467: 3464: 3462: 3461:primary color 3459: 3457: 3454: 3453: 3452: 3449: 3447: 3446:Reversal film 3444: 3440: 3437: 3436: 3435: 3432: 3431: 3429: 3427: 3423: 3417: 3414: 3412: 3411:Image sharing 3409: 3405: 3402: 3400: 3397: 3395: 3392: 3390: 3387: 3386: 3385: 3382: 3380: 3377: 3375: 3372: 3370: 3367: 3363: 3360: 3358: 3355: 3351: 3348: 3347: 3346: 3343: 3342: 3341: 3338: 3337: 3335: 3333: 3329: 3323: 3320: 3318: 3315: 3313: 3312:United States 3310: 3308: 3305: 3303: 3300: 3298: 3295: 3293: 3290: 3288: 3285: 3283: 3280: 3278: 3275: 3273: 3270: 3268: 3265: 3263: 3260: 3258: 3255: 3253: 3250: 3248: 3245: 3243: 3240: 3238: 3235: 3233: 3230: 3228: 3225: 3223: 3220: 3219: 3217: 3213: 3207: 3204: 3202: 3199: 3197: 3194: 3192: 3189: 3187: 3184: 3182: 3179: 3177: 3174: 3172: 3171:Daguerreotype 3169: 3167: 3164: 3162: 3159: 3157: 3154: 3152: 3149: 3147: 3144: 3142: 3139: 3137: 3134: 3133: 3131: 3129: 3125: 3119: 3116: 3114: 3111: 3109: 3106: 3104: 3101: 3099: 3096: 3094: 3091: 3089: 3086: 3085: 3083: 3081: 3077: 3071: 3068: 3066: 3063: 3061: 3058: 3056: 3053: 3051: 3048: 3044: 3041: 3040: 3039: 3036: 3034: 3031: 3027: 3024: 3023: 3022: 3019: 3017: 3016:Stopping down 3014: 3012: 3009: 3007: 3004: 3002: 2999: 2997: 2994: 2992: 2989: 2987: 2984: 2982: 2981:Rephotography 2979: 2977: 2974: 2972: 2969: 2967: 2964: 2962: 2959: 2957: 2954: 2952: 2949: 2947: 2944: 2942: 2939: 2937: 2934: 2932: 2929: 2927: 2924: 2922: 2919: 2917: 2916:Long-exposure 2914: 2912: 2909: 2907: 2904: 2902: 2899: 2897: 2894: 2892: 2889: 2887: 2884: 2882: 2879: 2877: 2874: 2872: 2869: 2867: 2864: 2862: 2859: 2857: 2854: 2852: 2849: 2847: 2844: 2842: 2839: 2837: 2834: 2832: 2829: 2827: 2824: 2823: 2821: 2817: 2811: 2808: 2806: 2803: 2801: 2798: 2796: 2793: 2791: 2788: 2786: 2783: 2781: 2778: 2776: 2773: 2771: 2768: 2766: 2763: 2761: 2758: 2754: 2751: 2750: 2749: 2746: 2744: 2741: 2739: 2736: 2734: 2731: 2729: 2726: 2724: 2721: 2719: 2716: 2714: 2711: 2709: 2706: 2704: 2701: 2699: 2696: 2694: 2691: 2689: 2686: 2684: 2681: 2679: 2676: 2674: 2671: 2669: 2666: 2664: 2661: 2659: 2656: 2654: 2651: 2649: 2646: 2644: 2641: 2639: 2636: 2634: 2631: 2629: 2626: 2624: 2621: 2619: 2616: 2614: 2611: 2609: 2608:Architectural 2606: 2604: 2601: 2599: 2596: 2594: 2591: 2590: 2588: 2584: 2578: 2575: 2573: 2570: 2568: 2567:Shutter speed 2565: 2563: 2560: 2558: 2555: 2553: 2550: 2548: 2545: 2541: 2538: 2537: 2536: 2533: 2531: 2528: 2526: 2523: 2521: 2520:Metering mode 2518: 2516: 2513: 2511: 2508: 2506: 2503: 2501: 2498: 2496: 2493: 2489: 2486: 2484: 2481: 2480: 2479: 2476: 2474: 2471: 2469: 2466: 2464: 2461: 2459: 2456: 2454: 2451: 2449: 2446: 2444: 2441: 2439: 2436: 2434: 2433:Color balance 2431: 2429: 2426: 2424: 2421: 2419: 2416: 2414: 2411: 2409: 2406: 2404: 2401: 2399: 2398:Angle of view 2396: 2394: 2391: 2390: 2388: 2384: 2378: 2375: 2371: 2368: 2367: 2366: 2363: 2361: 2358: 2356: 2353: 2351: 2348: 2346: 2345:Manufacturers 2343: 2339: 2336: 2334: 2331: 2329: 2326: 2324: 2321: 2319: 2316: 2314: 2311: 2309: 2306: 2305: 2304: 2301: 2297: 2294: 2292: 2289: 2287: 2284: 2282: 2279: 2277: 2274: 2272: 2269: 2267: 2264: 2262: 2259: 2257: 2254: 2253: 2252: 2249: 2247: 2244: 2240: 2237: 2235: 2232: 2230: 2227: 2225: 2222: 2220: 2217: 2215: 2212: 2211: 2210: 2207: 2205: 2202: 2198: 2195: 2193: 2190: 2189: 2188: 2185: 2181: 2178: 2176: 2173: 2171: 2168: 2166: 2163: 2161: 2158: 2156: 2153: 2151: 2148: 2146: 2143: 2141: 2138: 2136: 2133: 2131: 2128: 2126: 2123: 2121: 2118: 2117: 2116: 2113: 2112: 2110: 2106: 2102: 2095: 2090: 2088: 2083: 2081: 2076: 2075: 2072: 2061: 2059:0-8194-5294-7 2055: 2051: 2047: 2040: 2037: 2032: 2026: 2022: 2018: 2017: 2009: 2006: 2001: 1995: 1991: 1987: 1982: 1981: 1972: 1969: 1964: 1958: 1954: 1949: 1948: 1939: 1936: 1931: 1925: 1921: 1917: 1910: 1907: 1902: 1896: 1892: 1885: 1882: 1877: 1873: 1869: 1865: 1861: 1857: 1853: 1849: 1842: 1839: 1834: 1828: 1824: 1820: 1813: 1811: 1807: 1802: 1798: 1794: 1790: 1786: 1782: 1775: 1773: 1769: 1764: 1758: 1754: 1750: 1743: 1741: 1739: 1737: 1733: 1726: 1721: 1718: 1716: 1713: 1711: 1708: 1707: 1703: 1701: 1699: 1695: 1690: 1678: 1674: 1670: 1666: 1662: 1658: 1654: 1650: 1647:equal to the 1646: 1642: 1638: 1634: 1633:optical power 1625: 1619:Optical power 1618: 1616: 1614: 1610: 1606: 1601: 1599: 1595: 1591: 1587: 1582: 1580: 1576: 1575:angle of view 1572: 1568: 1564: 1560: 1555: 1548: 1538: 1528: 1518: 1511: 1506: 1502: 1494: 1485: 1479: 1466: 1460: 1457: 1452: 1445: 1441: 1437: 1432: 1425: 1421: 1417: 1407: 1401: 1392: 1382: 1380: 1376: 1371: 1351: 1345: 1342: 1338: 1333: 1328: 1325: 1322: 1319: 1300: 1296: 1295:field of view 1283:Focal length 1281: 1273: 1255: 1246: 1238: 1233: 1227: 1223: 1219: 1215: 1206: 1197: 1184: 1172: 1160: 1148: 1136: 1134: 1132: 1127: 1120: 1107: 1102: 1099: 1094: 1091: 1088: 1080: 1077: 1073: 1068: 1061: 1052: 1047: 1042: 1029: 1025: 1016: 1012: 1008: 1003: 997: 994: 991: 982: 979: 975: 971: 968: 941: 937: 928: 924: 920: 915: 909: 906: 903: 894: 891: 887: 883: 880: 864: 863:of the lens. 862: 861:optical power 853: 822: 818: 809: 805: 799: 795: 791: 786: 780: 777: 774: 765: 758: 754: 750: 745: 738: 734: 730: 724: 717: 714: 711: 705: 700: 697: 687: 685: 673: 664: 660: 651: 644: 634: 630: 626: 619: 610: 605: 589: 585: 565: 554: 546: 543: 533: 529: 517: 512: 509: 485: 482: 476: 473:to the front 464: 461: 458: 454: 450: 446: 445:magnification 442: 441:optical power 438: 435: 434: 433: 431: 427: 423: 419: 410: 403: 401: 398: 379: 373: 370: 367: 360: 359: 358: 352: 338: 319: 311: 308: 303: 298: 295: 290: 285: 282: 273: 272: 271: 269: 265: 261: 256: 254: 250: 246: 242: 238: 230: 228: 225: 221: 220:angle of view 217: 216:magnification 213: 209: 204: 202: 198: 194: 190: 186: 182: 178: 174: 173:optical power 170: 166: 162: 158: 150: 146: 141: 131: 128: 120: 117:November 2021 109: 106: 102: 99: 95: 92: 88: 85: 81: 78: –  77: 73: 72:Find sources: 66: 62: 56: 55: 50:This article 48: 44: 39: 38: 33: 19: 3659:Polaroid art 3553:K-14 process 3548:Instant film 3543:Gum printing 3498:C-41 process 3483:Photographic 3384:Image sensor 3379:Film scanner 3033:Sun printing 2966:Print toning 2753:space selfie 2723:Pictorialism 2653:Ethnographic 2633:Conservation 2505:Guide number 2500:Focal length 2499: 2049: 2045: 2039: 2015: 2008: 1979: 1971: 1946: 1938: 1915: 1909: 1890: 1884: 1851: 1847: 1841: 1818: 1784: 1780: 1748: 1691: 1630: 1602: 1583: 1556: 1546: 1536: 1526: 1516: 1509: 1492: 1483: 1480: 1408: 1399: 1390: 1383: 1372: 1282: 1279: 1253: 1244: 1236: 1231: 1225: 1221: 1217: 1213: 1128: 1121: 1081: 1069: 1059: 1050: 1043: 865: 851: 688: 671: 662: 649: 642: 635: 627: 617: 608: 601: 583: 563: 549: 531: 515: 452: 449:nodal points 417: 415: 396: 394: 350: 336: 334: 267: 263: 259: 257: 253:concave lens 241:focal points 240: 234: 205: 201:point source 167:; it is the 157:focal length 156: 154: 148: 144: 123: 114: 104: 97: 90: 83: 71: 59:Please help 54:verification 51: 3664:Stereoscopy 3528:E-6 process 3523:Dye coupler 3456:color space 3369:Digiscoping 3362:camera back 3277:Philippines 3206:Visual arts 3196:Glass plate 3181:Heliography 3080:Composition 3055:Ultraviolet 3011:Stereoscopy 3006:Slow motion 2991:Scanography 2906:Kite aerial 2846:Contre-jour 2738:Post-mortem 2728:Pornography 2708:Neues Sehen 2643:Documentary 2577:Zone System 2552:Reciprocity 2478:Film format 2408:Backscatter 2386:Terminology 2256:beauty dish 2155:rangefinder 2120:light-field 2101:Photography 2021:Focal Press 1986:Focal Press 1613:crop factor 1586:normal lens 1501:normal lens 1379:focal plane 245:convex lens 208:photography 3709:Categories 3654:Lomography 3485:processing 3434:Print film 3350:comparison 3317:Uzbekistan 3267:Luxembourg 3227:Bangladesh 3176:Dufaycolor 3156:Box camera 3113:Simplicity 3070:Zoom burst 3065:Xerography 3060:Vignetting 3050:Time-lapse 3038:Tilt–shift 2931:Mordançage 2921:Luminogram 2886:Holography 2881:High-speed 2861:Fill flash 2841:Burst mode 2819:Techniques 2800:Vernacular 2795:Underwater 2790:Toy camera 2770:Still life 2698:Monochrome 2688:High-speed 2638:Cloudscape 2628:Conceptual 2530:Photograph 2515:Lens flare 2495:Film speed 2377:Zone plate 2323:wide-angle 2308:long-focus 1988:. p.  1753:SPIE Press 1727:References 1649:reciprocal 1639:or curved 1590:full-frame 1505:35 mm 1196:35 mm 224:microscopy 193:collimated 87:newspapers 3604:Norwegian 3568:Stop bath 3513:Developer 3141:Ambrotype 3103:Lead room 3026:Slit-scan 2961:Photogram 2956:Panoramic 2866:Fireworks 2851:Cyanotype 2693:Landscape 2338:telephoto 2286:reflector 2281:monolight 2276:lens hood 2261:cucoloris 2197:safelight 2108:Equipment 1665:dimension 1579:film size 1329:⁡ 1095:− 995:− 983:− 907:− 778:− 746:− 715:− 631:different 526:) to the 430:telescope 371:≈ 212:telescopy 189:thin lens 177:converges 3683:Category 3389:CMOS APS 3287:Slovenia 3215:Regional 3161:Calotype 3098:Headroom 2976:Redscale 2891:Infrared 2836:Brenizer 2810:Wildlife 2733:Portrait 2678:Forensic 2668:Fine-art 2603:Aircraft 2593:Abstract 2473:F-number 2453:Exposure 2428:Clipping 2403:Aperture 2271:hot shoe 2192:enlarger 2187:Darkroom 1876:35471355 1720:f-number 1704:See also 1366:, where 640:in air ( 424:(e.g. a 210:and all 206:In most 181:diverges 3694:Outline 3630:Related 3322:Vietnam 3307:Ukraine 3242:Denmark 3222:Albania 3201:Tintype 3128:History 3093:Framing 2986:Rollout 2951:Panning 2901:Kirlian 2805:Wedding 2683:Glamour 2663:Fashion 2648:Eclipse 2618:Banquet 2540:Albumen 2350:Monopod 2328:fisheye 2296:softbox 2145:pinhole 2135:instant 2125:digital 1856:Bibcode 1789:Bibcode 1715:Dioptre 1684:⁄ 1659:is its 1657:dioptre 1264:⁠ 1250:⁠ 1044:In the 856:⁠ 842:⁠ 598:and EFL 530:of the 422:mirrors 397:concave 355:⁠ 341:⁠ 169:inverse 161:optical 101:scholar 3720:Length 3692:  3681:  3614:street 3609:Polish 3302:Turkey 3297:Taiwan 3282:Serbia 3272:Norway 3247:Greece 3232:Canada 2826:Afocal 2785:Street 2765:Sports 2748:Selfie 2703:Nature 2658:Erotic 2623:Candid 2598:Aerial 2586:Genres 2488:medium 2365:Tripod 2333:swivel 2246:Filter 2224:holder 2219:format 2115:Camera 2056:  2027:  1996:  1959:  1926:  1916:Optics 1897:  1891:Optics 1874:  1829:  1819:Optics 1759:  1653:metres 1641:mirror 1503:for a 1326:arctan 1122:where 1070:For a 835:where 528:vertex 416:For a 377:  337:convex 317:  159:of an 103:  96:  89:  82:  74:  3619:women 3577:Lists 3533:Fixer 3416:Pixel 3345:D-SLR 3292:Sudan 3262:Korea 3257:Japan 3252:India 3237:China 3021:Strip 2946:Night 2926:Macro 2831:Bokeh 2775:Stock 2743:Ruins 2483:large 2313:prime 2291:snoot 2251:Flash 2229:stock 2204:Drone 2165:still 2150:press 2140:phone 2130:field 1955:–66. 1663:with 1643:is a 1635:of a 1291:) 1285:( 428:or a 418:thick 197:focus 165:light 108:JSTOR 94:books 3642:film 3357:MILC 2856:ETTR 2713:Nude 2673:Fire 2572:Sync 2370:head 2318:zoom 2303:Lens 2266:gobo 2214:base 2209:Film 2180:view 2054:ISBN 2050:FG01 2025:ISBN 1994:ISBN 1957:ISBN 1924:ISBN 1895:ISBN 1872:PMID 1827:ISBN 1757:ISBN 1677:rays 1655:. A 1637:lens 1631:The 1293:and 1247:(at 1239:(at 1228:(at 1220:and 1129:See 669:and 615:and 237:lens 185:rays 155:The 80:news 3394:CCD 2175:toy 2170:TLR 2160:SLR 1864:doi 1797:doi 1667:of 1522:≈ ∞ 1481:As 964:BFD 876:FFD 655:= 1 63:by 3711:: 2019:. 1992:. 1990:27 1953:63 1870:. 1862:. 1852:61 1850:. 1809:^ 1795:. 1785:62 1783:. 1771:^ 1751:. 1735:^ 1615:. 1301:, 1216:, 686:: 648:= 459:). 2093:e 2086:t 2079:v 2062:. 2033:. 2002:. 1965:. 1932:. 1903:. 1878:. 1866:: 1858:: 1835:. 1803:. 1799:: 1791:: 1765:. 1686:2 1682:1 1552:= 1550:2 1547:s 1542:= 1540:1 1537:s 1532:= 1530:2 1527:s 1520:1 1517:s 1512:= 1510:f 1496:2 1493:s 1487:1 1484:s 1467:. 1461:f 1458:1 1453:= 1446:2 1442:s 1438:1 1433:+ 1426:1 1422:s 1418:1 1403:2 1400:s 1394:1 1391:s 1386:f 1368:x 1352:) 1346:f 1343:2 1339:x 1334:( 1323:2 1320:= 1316:V 1313:O 1310:F 1288:f 1261:2 1258:/ 1254:f 1245:K 1241:f 1237:I 1232:f 1230:2 1226:E 1222:K 1218:I 1214:E 1210:f 1124:R 1108:, 1103:2 1100:R 1092:= 1089:f 1063:2 1060:R 1054:1 1051:R 1030:. 1026:) 1017:1 1013:R 1009:n 1004:d 1001:) 998:1 992:n 989:( 980:1 976:( 972:f 969:= 942:, 938:) 929:2 925:R 921:n 916:d 913:) 910:1 904:n 901:( 895:+ 892:1 888:( 884:f 881:= 852:f 848:/ 845:1 837:n 823:, 819:) 810:2 806:R 800:1 796:R 792:n 787:d 784:) 781:1 775:n 772:( 766:+ 759:2 755:R 751:1 739:1 735:R 731:1 725:( 721:) 718:1 712:n 709:( 706:= 701:f 698:1 680:f 675:2 672:R 666:1 663:R 653:2 650:n 646:1 643:n 638:d 621:2 618:n 612:1 609:n 595:′ 593:f 577:′ 575:F 570:2 568:S 558:′ 556:F 552:′ 550:s 538:1 536:S 534:( 524:F 519:F 516:s 507:. 504:′ 502:F 497:′ 495:H 490:′ 488:f 480:. 478:H 471:F 467:f 380:. 374:v 368:f 351:u 347:/ 344:1 320:. 312:v 309:1 304:+ 299:u 296:1 291:= 286:f 283:1 268:f 264:v 260:u 149:f 145:F 130:) 124:( 119:) 115:( 105:· 98:· 91:· 84:· 57:. 34:. 20:)

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optical
light
inverse
optical power
converges
diverges
rays
thin lens
collimated
focus
point source
photography
telescopy
magnification
angle of view
microscopy

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