Journal of the Illuminating Engineering Institute of Japan
Online ISSN : 2185-1506
Print ISSN : 0019-2341
ISSN-L : 0019-2341
Calculation of Radiant Flux of a Fluorescent Lamp by Means of Matrix
Wakumi FukuiYoshinobu Teraoka
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1969 Volume 53 Issue 8 Pages 433-441

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Abstract
In the preceding report, the author stated that phosphors were excited by interreflected ultraviolet rays inside a fluorescent lamp, and resting on this assumption, he derived the equations to express the luminous flux distribution on the lamp.
In this report, by introducing matrices into those equations, we develope them into quantitative ones that can calculate an amount of radiant flux from the fluorescent lamp.
Practially, beginning with the calculation of the interreflected ultraviolet rays, we find quantities of internal interreflected fluorescent radiant fluxes in the visible range. And we refer to the fluorescent radiant fluxes toward the outside which consist of the transmitting components after interreflection in the inside and of the components of the fluorescent initial radiances toward the outside, and to the radiant fluxes of the visible range mercury spectra calculated in the same way. Then, by summing these fluxes, we get the total ones radiated from the lamp.
Besides, we make simplified equations and estimate conversion factors of the phosphors in the fl uorescent lamps from the relative quantities between ultraviolet rays, mercury spectra and fluorescences in the visible range.
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