2017
DOI: 10.26607/ijsl.v19i2.77
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Variations on a classical theme: On the formal relationship between magnitudes per square arcsecond and luminance

Abstract: The formal link between magnitudes per square arcsecond and luminance is discussed in this paper. Directly related to the human visual system, luminance is defined in terms of the spectral radiance of the source, weighted by the CIE V(λ) luminous efficiency function, and scaled by the 683 lm/W luminous efficacy constant. In consequence, any exact and spectrum-independent relationship between luminance and magnitudes per square arcsecond requires that the latter be measured precisely in the CIE V(λ) band. The l… Show more

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Cited by 13 publications
(14 citation statements)
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“…Note that for any given photometric band ( ) with a well specified reference radiance ( ), the first and third factors of equation (8) are constant, whereas the second one (the ratio of the V(λ) to S in-band radiances) depends on the spectral composition of the incident light, ( ). Only in the very particular case when the photometric band ( ) strictly coincides with the CIE visual one, V(λ), the second factor equals 1, and 0 turns out to be independent from the spectrum of the light (Bará, 2017). Then, the zero-point luminance 0 that determines the S-band mpsas to cd m -2 conversion is not a single value but must be calculated for each ( ) on a case by case basis.…”
Section: Transforming Magnitudes Per Square Arcsecond To Luminancesmentioning
confidence: 99%
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“…Note that for any given photometric band ( ) with a well specified reference radiance ( ), the first and third factors of equation (8) are constant, whereas the second one (the ratio of the V(λ) to S in-band radiances) depends on the spectral composition of the incident light, ( ). Only in the very particular case when the photometric band ( ) strictly coincides with the CIE visual one, V(λ), the second factor equals 1, and 0 turns out to be independent from the spectrum of the light (Bará, 2017). Then, the zero-point luminance 0 that determines the S-band mpsas to cd m -2 conversion is not a single value but must be calculated for each ( ) on a case by case basis.…”
Section: Transforming Magnitudes Per Square Arcsecond To Luminancesmentioning
confidence: 99%
“…In previous works we developed a consistent definition of an absolute mpsas system for the human visual system (Bará, 2017), and reported the conversion factors for determining the luminance of blackbody radiation of arbitrary temperature as a function of its mpsas brightness in the Johnson-Cousins B, V, and R photometric bands (Bará, 2019).…”
Section: Introductionmentioning
confidence: 99%
“…To that end we resorted to the measurements recorded by the SQM-LE sensor run by the Servei Català per la Prevenció de la Contaminació Acústica i Lumínica de la respectively. Note that this introduces some error if the results are interpreted as true luminances in cd/m 2 , because the SQM and V photometric bands are not exactly the same [49][50]. The natural sky luminance was then subtracted from the total one recorded from the ship at each point of the route, allowing us to estimate the value of the artificial component as…”
Section: Predicted Sky Brightness and Data Processingmentioning
confidence: 99%
“…We do so using two models. The first one, describing the lunar (Bará, 2016(Bará, , 2017, using Equation 1. Despite the fact that this formula is widely used to estimate luminances from SQM magnitudes, it was originally derived by Garstang (1986) for Johnson V-band magnitudes, and is thus just an approximation.…”
Section: Synthetic Models Of Ground Illumination By the Moon And Totamentioning
confidence: 99%