Photometric Calibrations

1 Page 1 NIST Special Publication 250-95 NIST Measurement Services Photometric Calibrations Yuqin Zong Maria E. Nadal Benjamin K. Tsai C. Cameron Miller This publication is available free of charge from: https://doi.org/10.6028/N... Open at page → 2 Page 2 NIST Special Publication 250-95 NIST Measurement Services Photometric Calibrations Yuqin Zong Maria E. Nadal Benjamin K. Tsai C. Cameron Miller Sensor Science Division Physical Measurement Division National Institute of... Open at page → 3 Page 3 Certain commercial entities, equipment, or materials may be identified in this document in order to describe an experimental procedure or concept adequately. Such identification is not intended to imply recommendation or... Open at page → 4 Page 4 i This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Preface The calibration and related measurement services of the National Institute of Standards and Technology (NIST) are in... Open at page → 5 Page 5 ii This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Abstract The National Institute of Standards and Technology provides calibration services for submitted artifacts for lumin... Open at page → 6 Page 6 iii This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table of Contents Introduction .............................................................................................. Open at page → 7 Page 7 iv This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 3.6.1. Types of photometers and illuminance meters .................................................... 38 3.6.2. Operation... Open at page → 8 Page 8 v This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 6.3. Artifacts for calibration ................................................................................................ Open at page → 9 Page 9 vi This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 List of Tables Table 1. Quantities and units used in photometry and radiometry. ............................................. Open at page → 10 Page 10 vii This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 40. Results of the flash standard photometers calibration using the two methods. ...... 95 Table 41. Uncertainty bud... Open at page → 11 Page 11 viii This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 List of Figures Fig. 1. CIE V(λ) function. ................................................................................. Open at page → 12 Page 12 1 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Introduction This document supersedes the NIST Special Publication 250-37 (1997) and NBS Special Publication 250-15 (1987).... Open at page → 13 Page 13 2 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 defined in the domain from 360 nm to 830 nm, and is normalized to unity at its peak, 555 nm (Fig. 1) [9]. This model gained... Open at page → 14 Page 14 3 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 It should be noted that the V() function is based on the CIE standard photometric observer for photopic vision, which assum... Open at page → 15 Page 15 4 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 pentane and air. In 1909, the first internationally recognized unit was established collaboratively between the National Bur... Open at page → 16 Page 16 5 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 where Φe,λ is the spectral concentration of radiant flux in (W/nm) as a function of wavelength λ in nm. Luminous intensity (... Open at page → 17 Page 17 6 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Luminous exitance (M v ) is the density of luminous flux leaving a surface at a point. Eq. (6) is the same as Eq. (4), with... Open at page → 18 Page 18 7 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 2. English units and definitions. Unit Quantity Definition foot candle (fc) illuminance lumen per square foot (lm ft -... Open at page → 19 Page 19 8 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Fig. 2. Realization and maintenance of the NIST photometric units. The new candela is realized and maintained on the NIST st... Open at page → 20 Page 20 9 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 power measurements with expanded uncertainties of 0.02 % (k = 2), which has been verified by a recent intercomparison with t... Open at page → 21 Page 21 10 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 photometric units for different countries in the world is published on the BIPM website http://www.bipm.org/. 1.3.2. Lumino... Open at page → 22 Page 22 11 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 integrated luminous intensity [cd·s], and a model based on visual perception. The variable, Jv (=∫?????? v(�) &... Open at page → 23 Page 23 12 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 0.6 % (k = 2) and the expanded uncertainty of the correlated color temperature is 8 K (k = 2) at 2856 K. 37020S - Special T... Open at page → 24 Page 24 13 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 37080S - Special Tests for Submitted Luminance Sources and Transmitting Diffusers NIST will calibrate luminance (cd/m 2 ) o... Open at page → 25 Page 25 14 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 LED light engines, LED lamps, following measurement standards such as IES 79 and CIE S 025 for measurement of LED lamps and... Open at page → 26 Page 26 15 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95        d)()( d)()( tm t fv, VSK sS s , (9) where St(λ) is the spectral power distribution of the lamp to measure... Open at page → 27 Page 27 16 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Fig. 5. Design of the NIST standard photometer. 3.2. Design of the NIST standard photometers Figure 5 shows the design of t... Open at page → 28 Page 28 17 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 3.3. Realization of the NIST illuminance responsivity unit 3.3.1. Calibration of the NIST standard photometers The spectral... Open at page → 29 Page 29 18 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 standard uncertainty introduced by the temperature correction factor during the SCF calibration is 0.07 %. Fig. 6. Temperat... Open at page → 30 Page 30 19 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Each NIST standard photometer is equipped with a built in transimpedance amplifier. The data presented in Figure 7 was meas... Open at page → 31 Page 31 20 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95                     N i N i ji N ij ji ji i i c xxrxuxu x f x f xu x f yu 1 1 1 1 2 2 2 ),()()(2)()(... Open at page → 32 Page 32 21 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 based on statistical analysis of a series of observations. Type B evaluation is based on means other than statistical analy... Open at page → 33 Page 33 22 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 3.4. Realization of the NIST candela and luminous intensity unit The NIST illuminance unit and NIST candela unit are realiz... Open at page → 34 Page 34 23 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 the lamp posts are held vertically and the plane formed by the axes of the posts is perpendicular to the optical axis of th... Open at page → 35 Page 35 24 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 the distance offset from the photometry bench origin to the lamp reference plane. Six photometers can be mounted on the car... Open at page → 36 Page 36 25 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95                d)()( d)()( d)()( d)()( )( t relt A relA t * Vs ss Vs ss sF , (22) where st() is th... Open at page → 37 Page 37 26 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Fig. 10. Polynomial fit for the SMCFs. 3.4.4. Uncertainty budget for NIST illuminance unit The uncertainty budget in Sectio... Open at page → 38 Page 38 27 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 5. Uncertainty components as correction factors for NIST illuminance unit. Symbol Uncertainty component Type Relative... Open at page → 39 Page 39 28 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Because the components are uncorrelated, the combine standard uncertainty (displayed in the lower right cell) is the sum of... Open at page → 40 Page 40 29 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 3.5. Luminous intensity calibrations 3.5.1. Lamp standards for luminous intensity For many years, NIST issued gas-filled, i... Open at page → 41 Page 41 30 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Fig. 12. Aging characteristics of a typical Airway Beacon type lamp at 2856 K. NIST issues standard lamps calibrated for lu... Open at page → 42 Page 42 31 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Fig. 13. Aging characteristics of a selected FEL type lamp at 2856 K. The FEL type lamps issued by NIST are also screened f... Open at page → 43 Page 43 32 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Fig. 14. Spatial non-uniformity of a typical FEL type lamp. The lamps should be handled very carefully to avoid mechanical... Open at page → 44 Page 44 33 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Fig. 15. Drift of illuminance responsivity of NIST standard photometers. The filter surfaces of the photometers were not cl... Open at page → 45 Page 45 34 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 A DC constant-current power supply is used to operate standard lamps and test lamps. The lamp current is measured as the vo... Open at page → 46 Page 46 35 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 determined experimentally. To determine the deviation, the lamp is turned on, allowed to warm up and then the luminous inte... Open at page → 47 Page 47 36 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 coefficient for voltage dependence in Table 9 is the luminous intensity, Iv, multiplied by the natural logarithm of 1.00014... Open at page → 48 Page 48 37 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 removed from calibration. The Photometry project leader will contact the customer by telephone to inform them that their la... Open at page → 49 Page 49 38 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 completed, reviewed and approved, the test lamps are packaged in the original shipping material and taken by a Photometry S... Open at page → 50 Page 50 39 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Some illuminance meter heads employ a dome-shaped or mesa-shaped diffuser in the front. In this case, it is usually difficu... Open at page → 51 Page 51 40 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Bare fingers should not touch the front surface of photometer heads with a diffuser, once cleaned. Before and during measur... Open at page → 52 Page 52 41 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 where Rv is the illuminance responsivity of the photometer under test, y is the photometer signal and yd is the dark photom... Open at page → 53 Page 53 42 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 11. Uncertainty budget for a typical illuminance responsivity calibration. Symbol Component Value xi Standard Uncerta... Open at page → 54 Page 54 43 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 meters used in the measurement of daylight, solar simulators, lighting optics in imaging devices, and military applications... Open at page → 55 Page 55 44 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 correction filter was designed to match the output spectral power distribution to CIE Illuminant A. The optimum thickness o... Open at page → 56 Page 56 45 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 3.7.2. Uncertainty budget for high-illuminance calculations The uncertainty analysis for a high-illuminance meter calibrati... Open at page → 57 Page 57 46 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 13. Uncertainty budget for the NIST high-illuminance unit. Symbol Component Value xi Standard Uncertainty u(xi) Unit... Open at page → 58 Page 58 47 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 uncertainty in the distance between the NIST standard photometer reference plane and the photometer under test reference pl... Open at page → 59 Page 59 48 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 of the source, shown in Figure 19, and the relative sizes of the apertures of the NIST high- illuminance photometers and th... Open at page → 60 Page 60 49 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 AE aev  ,  , (33) where Ea is the average illuminance (lx) over the limiting aperture of known area A. The internal sourc... Open at page → 61 Page 61 50 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Fig. 20. Arrangement of NIST 2.5 m integrating sphere for detector-based total luminous flux calibrations. The external sou... Open at page → 62 Page 62 51 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 4.3. Uncertainty of the NIST sphere photometer system responsivity The calibration of total luminous flux for light sources... Open at page → 63 Page 63 52 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 AC/DC technique [55]) was used to measure the integrating sphere characteristics while the lamp under test is operated. A c... Open at page → 64 Page 64 53 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95                d)()( d)()( d)()( d)()( )( e erel,e A erel,A e * Vs ss Vs ss sF , (36) where se(λ) i... Open at page → 65 Page 65 54 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 slightly lower than in the lower hemisphere. The overall uniformity of the NIST integrating sphere is considered excellent.... Open at page → 66 Page 66 55 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95   eeK S , 1 * ef,  . (39) The area ± 5° around the hot spot (the area where the external beam hits the sphere wall) wa... Open at page → 67 Page 67 56 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 was used instead of zero. This approximation was also used for Td in the calculation of the sensitivity coefficients for th... Open at page → 68 Page 68 57 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 18. Uncertainty budget for a sphere external illuminance determination. Symbol Component Value xi Standard Uncertaint... Open at page → 69 Page 69 58 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 19. Uncertainty budget for a NIST sphere photometer system responsivity. Symbol Component Value xi Standard Uncertain... Open at page → 70 Page 70 59 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Sometimes miniature lamps are calibrated in combination with a particular socket, and in such cases, a combination of lamp... Open at page → 71 Page 71 60 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 temperature values are used for the SMCFs. The lamp current is ramped up and down slowly (approximately 30 s). Photometric... Open at page → 72 Page 72 61 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 where K*(θ, φ) is defined by Eq. (38) and I*(θ, φ) is the normalized luminous intensity distribution of the internal source... Open at page → 73 Page 73 62 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 4.4.2. Fluorescent lamps – Typical budget Linear fluorescent lamps are always operated in the horizontal position. The test... Open at page → 74 Page 74 63 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 The hot pin X is marked on one of the two bases of the test lamp. The test lamp is connected to the lamp-holder in such a w... Open at page → 75 Page 75 64 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 exponential dependence of the ballast watt loss on the final lumen output. Several uncorrelated components of uncertainty h... Open at page → 76 Page 76 65 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Fig. 24. Typical normalized linear fluorescent tube light output as a function of ambient temperature. Near-field absorptio... Open at page → 77 Page 77 66 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 23. Uncertainty budget for total luminous flux calibration of a typical fluorescent lamp. Symbol Component Value xi S... Open at page → 78 Page 78 67 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 factor. Since the light trapping can is close to the lamp, the uncertainty of the near-field correction factor is large, ty... Open at page → 79 Page 79 68 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 5. Luminance calibrations 5.1. NIST luminance unit and uncertainty budget Luminance units are commonly established using a... Open at page → 80 Page 80 69 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 aperture plane is determined from the illuminance E (lx), the distance, d (m), and the aperture area, A (m 2 ), as given by... Open at page → 81 Page 81 70 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 25. Uncertainty components for NIST luminance unit. Symbol Uncertainty component Type Relative Unc. Contribution (%)... Open at page → 82 Page 82 71 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 To transfer the scale the sphere monitor photometer needs to be calibrated. Simultaneously as the luminance is realized on... Open at page → 83 Page 83 72 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 27. Uncertainty components for luminance meter calibration. Symbol Uncertainty component Type Relative Unc. Contribut... Open at page → 84 Page 84 73 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Luminance meters used for particular sources other than incandescent sources can be calibrated for those specific sources (... Open at page → 85 Page 85 74 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 29. Uncertainty components for high luminance meter calibration. Symbol Uncertainty component Type Relative Unc. Cont... Open at page → 86 Page 86 75 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 5.4. Calibration of luminance sources Luminance sources under test are calibrated against the reference sphere source descr... Open at page → 87 Page 87 76 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 31. Uncertainty components for luminance source calibration. Symbol Uncertainty component Type Relative Unc. Contribu... Open at page → 88 Page 88 77 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 5.5. Artifacts for calibration Commercially available luminance sources and luminance meters of various types, submitted by... Open at page → 89 Page 89 78 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 An opal glass under test is calibrated for luminance coefficient (ratio of luminance to illuminance, unit [sr -1 ]) of diff... Open at page → 90 Page 90 79 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 33. Uncertainty components for NIST reference opal glasses. Symbol Uncertainty component Type Relative Unc. Contribut... Open at page → 91 Page 91 80 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 For calibration of customers’ opal glasses, the instruments are placed on the NIST photometry bench in a light tight box. T... Open at page → 92 Page 92 81 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 An opal glass is sensitive to stray light on both sides of the glass. Extreme care should be taken to minimize ambient refl... Open at page → 93 Page 93 82 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 A reflectance plaque under test is calibrated for luminance coefficient (ratio of luminance to illuminance, unit [sr -1 ])... Open at page → 94 Page 94 83 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 36. Uncertainty budget for a typical reference plaque luminance coefficient calibration. Symbol Component Value xi St... Open at page → 95 Page 95 84 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95                           1exp 1 , whered , 1min 25 2 2 1 d db db t T c TS TaS S     ... Open at page → 96 Page 96 85 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 The standard uncertainty of the correlated color temperature of these lamps has been evaluated using the methods described... Open at page → 97 Page 97 86 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Vm c V V TT          0 0 . (60) where T0 is the calibrated correlated color temperature, V is the measured voltage... Open at page → 98 Page 98 87 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 spectroradiometer calculates chromaticity coordinates and the correlated color temperature of the source. This type of spec... Open at page → 99 Page 99 88 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 for 2000 K to 2.3 K for 3200 K. The second component due to equipment is the spectral stray-light errors that occur within... Open at page → 100 Page 100 89 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 37. Uncertainty budget for the offset calibration of the transfer spectroradiometer at 2856 K. Symbol Component Value... Open at page → 101 Page 101 90 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 38. Typical offsets and standard uncertainties of the offsets. Tcp Offset Standard uncertainty 2000 K -2 K 2.3 K 2300... Open at page → 102 Page 102 91 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 realization was evaluated. A procedure for calibration of flashing-light photometers for anticollision flashing lights has... Open at page → 103 Page 103 92 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 From Eqs. (63) and (64), the responsivity Rf [V/(lx·s)] of the photometer including the current integrator is given by CRR... Open at page → 104 Page 104 93 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 be noted that the photometer output should never be left open (no-load condition) before an integration starts. The no-load... Open at page → 105 Page 105 94 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 lamp operated at 2856 K, the photometer heads were first calibrated against the NIST illuminance standard photometers to de... Open at page → 106 Page 106 95 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 40. Results of the flash standard photometers calibration using the two methods. Range Method Luminous exposure respo... Open at page → 107 Page 107 96 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Fig. 32. The normalized luminous exposure responsivity [V/(lx·s)] of the three NIST flash photometers that maintain the uni... Open at page → 108 Page 108 97 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 the repeatability and the linearity of the photometer under test, and therefore, is reported individually. Fig. 33. Arrange... Open at page → 109 Page 109 98 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 )2.0( d)( 01 e 1 0 tt ttI I t t    , (69) where t0 is the start time and t1 is the end time of the flash. The term 0.2... Open at page → 110 Page 110 99 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 41. Uncertainty budget for luminous exposure responsivity using the electrical method. Symbol Uncertainty component T... Open at page → 111 Page 111 100 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 42. Uncertainty budget for the luminous exposure unit using the electrical method. Symbol Uncertainty component Type... Open at page → 112 Page 112 101 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 43. Uncertainty budget for luminous exposure responsivity using the pulsed photometric method. Symbol Uncertainty co... Open at page → 113 Page 113 102 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Table 44. Uncertainty budget for calibration of luminous exposure responsivity using the pulsed photometric method. Symbol... Open at page → 114 Page 114 103 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 References [1] Booker, R.L. and McSparron, D.A., “Photometric Calibrations,” NBS Special Publication 250-15 (1987). [2] Cr... Open at page → 115 Page 115 104 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 [24] Yoon, H.W., Gibson, C.E., and Barnes, P.Y., “The realization of the NIST Detector- based Spectral Irradiance Scale,”... Open at page → 116 Page 116 105 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 [44] Fowler, J.B., and Litorja, M., “Geometric Area Measurements of Circular Apertures for Radiometry at NIST,” Metrologia... Open at page → 117 Page 117 106 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 [68] J. L. Gardner, Correlated colour temperature—uncertainty and estimation, Metrologia 37, 381-384 (2000). [69] J. Fonte... Open at page → 118 Page 118 107 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Appendix A: List of symbols used in document V luminous flux P angular alignment of the photometer L angular alignment... Open at page → 119 Page 119 108 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Rd() relative spectral responsivity of the sphere detector R shunt resistor resistance RS integrating sphere photometric... Open at page → 120 Page 120 109 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Appendix B: Sensitivity coefficients Sensitivity coefficients for Table 10 f 0 L S0 2 v UJ c U U RJ cU dEI mm UJ v    ... Open at page → 121 Page 121 110 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Sensitivity coefficients for Table 9 SrP,PSLffSLUd yrd,r iv,rd f )( )( ISMLTSEC cyy RGYY R      1)   d... Open at page → 122 Page 122 111 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 13) f f f f L R L R    14) f f f f M R M R    15) rf, f rf, f M R M R    16) SL f SL f S R S R    17) P f P f... Open at page → 123 Page 123 112 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 8)   PSLSLf rd R 21 d c 2        STSL GT cc PP T E y 9) PSLSLf r R d 1 c 2 K2856 ln         ... Open at page → 124 Page 124 113 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Sensitivity coefficients for Table 13 SLffSw 0 L 0sf d test ii UJ )( SSMTT U U RJ cU RG cyy mm Uy           ... Open at page → 125 Page 125 114 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 13) F test F test NN     14) w test w test TT     15) S test S test TT     16) ii f test f test MM    ... Open at page → 126 Page 126 115 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 10) f f f f H R H R    11) r f r f H R H R    12) f f f f L R L R    13) f f f f M R M R    14) SL f SL f S R... Open at page → 127 Page 127 116 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Sensitivity coefficients for Table 23 Lf 00 U ST VT )(                     DL V V RJ cU SFO mm 1)... Open at page → 128 Page 128 117 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Appendix C: Samples of calibration reports Appendix C.1 – Luminous Intensity and Color Temperature Standard Lamp 37010C RE... Open at page → 129 Page 129 118 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Model: FEL Luminous Intensity and Color Temperature Calibration S/N: NIST20001 Company ABC After det... Open at page → 130 Page 130 119 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Model: FEL Luminous Intensity and Color Temperature Calibration S/N: NIST20001 Company ABC Table 1.... Open at page → 131 Page 131 120 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Model: FEL Luminous Intensity and Color Temperature Calibration S/N: NIST20001 Company ABC Approved... Open at page → 132 Page 132 121 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Model: FEL Luminous Intensity and Color Temperature Calibration S/N: NIST20001 Company ABC Table 2.... Open at page → 133 Page 133 122 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Appendix C.2 – Total Luminous Flux of a Submitted Lamp 37060S REPORT OF CALIBRATION Special Test for Total Luminous Flux o... Open at page → 134 Page 134 123 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Manufacturer: XXXXX Total Luminous Flux of Submitted Lamps Model: F032/741 Company ABC Designations:... Open at page → 135 Page 135 124 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Manufacturer: XXXXX Total Luminous Flux of Submitted Lamps Model: F032/741 Company ABC Designations:... Open at page → 136 Page 136 125 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Manufacturer: XXXXX Total Luminous Flux of Submitted Lamps Model: F032/741 Company ABC Designations:... Open at page → 137 Page 137 126 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Manufacturer: XXXXX Total Luminous Flux of Submitted Lamps Model: F032/741 Company ABC Designations:... Open at page → 138 Page 138 127 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Manufacturer: XXXXX Total Luminous Flux of Submitted Lamps Model: F032/741 Company ABC Designations:... Open at page → 139 Page 139 128 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Manufacturer: XXXXX Total Luminous Flux of Submitted Lamps Model: F032/741 Company ABC Designations:... Open at page → 140 Page 140 129 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Appendix C.3 – Calibration of a Luminance Source 37080S REPORT OF CALIBRATION Special Test for Calibration of Submitted Lu... Open at page → 141 Page 141 130 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Sphere Source model XXXX, S/N 00000001 Calibration of Submitted Luminance Source Controller model XX... Open at page → 142 Page 142 131 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Sphere Source model XXXX, S/N 00000001 Calibration of Submitted Luminance Source Controller model XX... Open at page → 143 Page 143 132 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION Sphere Source model XXXX, S/N 00000001 Calibration of Submitted Luminance Source Controller model XX... Open at page → 144 Page 144 133 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 Appendix C.4 – Illuminance responsivity calibration for submitted photometer 37090S REPORT OF CALIBRATION Special Test of... Open at page → 145 Page 145 134 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION NIST Photometer X000 Illuminance Responsivity Calibration Company ABC 3. Results of Calibration The... Open at page → 146 Page 146 135 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION NIST Photometer X000 Illuminance Responsivity Calibration Company ABC 4. General Information This ca... Open at page → 147 Page 147 136 This publication is available free of charge from: https://doi.org /10.6028/NIST.SP. 250 - 95 REPORT OF CALIBRATION NIST Photometer X000 Illuminance Responsivity Calibration Company ABC Table 2. Uncertainty budget fo... Open at page →