An Expansion of the Ev System
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.d .. P 4 AN EXPANSION OF THE EV SYSTEM By W. F. Lindsey NASA Langley Research Center Langley Station, Hampton, Va. Presented at the 10th Annual Technical Symposium of The Society of Photo-Optical Instrument Engineers ‘- San Francisco, California August 16-20, 1965 AN EXPANSION OF THE EV SYSTEM By W. F. Lindsey NASA langley Research Center analysis has been expanded to include the factors involved in photoflash and electronic flash PhOtOgraPhy. The exposure value system or additive value system has been expanded to include filter factors This paper presents the derivation of the and transmittance. In addition, the equations for equations relating the photographic factors for photoflash and electronic flash photography are both basic photography and flash photography. converted into a form compatible with the EV sys- These equations are converted into an additive tem. The photographic factors are presented in value system that is a duplicate of or is com- tabular form together with their corresponding patible with the exposure value system. Tabulated values in the additive value system in 25-percent values are presented of the photographic factors steps or quarter stops to permit an acceptable and their corresponding values in the addltive solution to be obtained more readily. system which permit the application of the expanded system to photographic problems within ranges wherein the reciprocity effects are approx- INTROIKTCTION imately constant. In the utilization of photography in SYMBOLS research, unusual conditions are encountered that in some cases range from making exposures of about 0.01 second of objects having brightness levels of aperture value, f = 2AvI2 the order of 100 times brighter than a beach scene, to other unrelated situations. Generally brightness of object (subject) , candles/ft2 for these conditions a correct exposure for a given time and film is determined experimentally brightness value, b = 0.3515 X 2% and it is often required to transpose these set- tings to another one involving changes in film and transmittance factor, ratio of incident exposure time. It appeared that this transposi- light to transmitted light tion could be accomplished more rapidly and with less restriction on the variation of the variables transmittance value, = 2-'v involved if an additive system such as the expo- c sure value (or light value) system could be used. diameter of lens, or free aperture, ft This application of the exposure value sys- tem however required that the system be extended distance from flash to object (subject), ft to high brightness level, and expanded to include filter factors. Exposure values especially in distance value, D = tabular form (refs. 1 and 2) have been in steps of 1 or one stop, A minimum of four photographic exposure values (also EV) , factors are involved in the evaluation of an expo- E, =Av + Tv = B, -+ S, sure which when determined from tables of 1-stop interval could introduce noticeable error. It f/number, z/d was desirable therefore that the values be pro- vided in 25-percent steps or quarter stops to per- light flux output of source, lumens mit an acceptable solution to be obtained more readily. The initial study in 1960 produced flash value of photoflash bulb, numerical values in 0.25 increment of exposure for L = 32.5 x 2Fv each of the following photographic factors: f/number, exposure time, film speed, object guide number for flash, G = f X brightness, and filter factor. Since then the D L-4609 GV DERIVATIONS i image distance or lens to film distance, ft In the application of the exposure value cameras and exposure meters, an EV num- k a constant system to ber is determined by a combination of exposure 2 focal length of lens time and the f/number of the lens. A light value or exposure value is also deteTdced 5y a combica- lumen-second output of electronic flash tion of object brightness and film speed. For a Le successful exposure the two exposure values must be equal; therefore, the basic photometric rela- lumen-seconds output of photoflash bulbs LP tion between the four photographic factors is needed before the contribution of each factor to L, light value, interchangeable with E, in the exposure value can be determined and the sys- popular usage, also LVS tem expanded. The presentation of the derivations will in themselves indicate limitations on the NV the numerical value expressed in the addi- application of the system, as well as provide a tive or EV system that is derived from foundation for future expansion. any photographic factor, N, = 0 for t = 1 (Tv = 0), f = 1 (Av = 0), s = 3 (s, = 0), etc. Basic Photometric Relation 0 object distance from lens, ft An object or surface of uniform luminance b (candles/ft2) having an area P, is located on Pi area of image, sq ft and normal to the optical axis of a perfect lens of diameter d at a distance 0 from the lens PS area of object or subject, sq ft (with linear dimensions in feet). Q beam candle power seconds output of elec- The illuminance on the lens is tronic flash Qv electronic flash value, Q = 5 x 2Qv The luminous flux passing through the lens r reflectivity of object or subject (used as 17 - 7%) S film speed ASA rating, s = k Exposure An image of area Pi will be formed on the film, having an intensity of illumination of SV speed value of film (often denoted by the superscript O), s = 5.125 X 2% t exposure time, seconds From geometric optics the object and image T reciprocal of exposure time, l/t areas are related by Psi2 = Pi02 where i is the image to lens distance and is approximately TV exposure time value, T = 2Tv equal to the focal length of the lens. i = 1 but f = l/d then i = fd. W reflector factor The intensity of illumination in the image Illuminance with reflector - on the film is 21 lumens/ft2 Illuminance without reflector 4 f2 X filter factor If the illumination is incident upon the photographic film at the image plane for a time t XV filter value, x = 2Xv seconds, the film exposure is the product of the intensity of illumination and the duration of the Subscript: exposure. xbt o numerical value of a photometric factor Exposure = - foot candle seconds. for which Nv = 0 or for which its con- 4f2 tribution to the exposure value is zero .I The ASA (American Standards Association) Tofo2 = 0.9lbOso = 1 ppeed rating of the film s by definition is inversely proportional to the exposure or The values for Nv = 0 (also & = 0) are To = 1, fo = 1, bo = 0.35, SO = 3.l25 The corresponding values given in references 1 The graduations of the dials on exposure and 2 for exposure time and film speed are 1 sec- meters used for computing exposure, as well as the ond and ASA of 3 which are in agreement. The calibrations of the meters, are based on this derived value for bo from reference 2 is 0.3125. equation. When t is in seconds, s is the effective AFA speed rating and b is in Since Tof$ = 1 and Tf2 = & then canbles/ft2 the value of the constant, kl is 2 x f2 = Sv. Now E, can be resolved into the about 1.05 with variations in practice mging To fo from 1.0 to 1.1. The differences however do not individual components that correspond to the sep- constitute any significant effect upon exposure. arate photometric factors as A value of about 1.1will be used herein in order to retain compatibility with the tables of ref- erences 1 and 2 on incident light and have a T/To = and f2/fo2 = reflectivity approximately that of the standard 2Tv $V gray card (about 188). The basic photometric equation is Similarly or (1) b/bo = 2h and ./So = fi The effective ASA rating depends upon reci- b/bo X ./so = T/To X f2/fo2 = 2% X fi procity and in some applications can be affected by differences between the spectral response of the film and the spectrum of the luminance of the hence object. The Exposure Value or Light-Value System These permit the EV system to be extended in range and to be evaluated in smaller steps than General Photograp& are usually available. The system is designated in various ways on Sometimes it is desirable to include filter exposure meters and on cameras as EV, LVS, EV-LVS, factor x, and the transmittance of other elements Light-Value. An EX number for a camera is fixed in the optical path c. The basic equation by any combination of exposure time t and becomes f/number for which Tf2 = constant. On exposure meters for a @veri film speed the brightness also ICl’f2x = bsc defines a value which is sometimes called the light value. The numerical value depends on the for product of brightness and film speed (b x s). The “value system” will be referred to herein as Nv=O xo=l co = 1.0 or percent/lW the EX system for simplicity, and a particular exposure value or light value will be denoted as x/xo = 2xv c/co = 24, E,. and An analysis of the Ev system shows that E, = Av + Tv iX, = B, iSv - C, (4) Tf2 = 2E” Photoflash Photography SO that Tf2 = 1 for E, = 0. Consider a light source of F lumens illu- minating an object at a distance of D feet Datum or base values were determined for T, The intensity of the source is F/4n candles.