Abstract

In a quantitative description of bioluminescence (BL) and chemiluminescence (CL) phenomena, it is indispensable to know the total fluxes of radiation emitted by the sources studied. Such knowledge is necessary for determining the quantum yields of the examined BL and CL reactions, for comparing the data measured by different optical radiometers (luminometers), and for expressing the power of the emitted radiation in absolute units, i.e., in watts or as a number of photons per specified time period. This paper presents an integral formula for calculating radiative fluxes incident on a planar-circular detector from a volume multiple-point BL or CL source partially or completely filling an open coaxial cylindrical reactor. The formula represents the solution to the basic radiometric equation applied to the point emitters embedded within a homogeneous substrate separated from the detector by a different optical homogeneous isotropic medium. All calculations were performed for a nontransparent cylindrical reactor when the surface reflections were neglected and when optical radiation was incident on the detector through an open end of the cylindrical reactor. No additional restrictions were made with respect to the spatial distribution of the point emitters and angular distribution of the emitted radiations, so that the formula is applicable for arbitrarily distributed and arbitrarily radiating point emitters composing a BL or CL source.

© 2011 Optical Society of America

Radiative flux from a multiple-point bioluminescent or chemiluminescent source within a cylindrical reactor incident on a planar-circular coaxial detector. II. Rotationally symmetric radiation

Stanislaw Tryka
J. Opt. Soc. Am. A 28(2) 147-156 (2011)

Radiative flux from a planar multiple point source within a cylindrical enclosure reaching a coaxial circular plane

Stanislaw Tryka
Opt. Express 15(7) 3777-3790 (2007)

Optical radiation flux illuminating a circular disk from an off-axis point source separated by a homogeneous plane-parallel plate

Stanislaw Tryka
J. Opt. Soc. Am. A 18(8) 1934-1943 (2001)

Radiant fluxes from various off-axis point sources incident on a circular disk

Stanislaw Tryka
Appl. Opt. 52(27) 6748-6756 (2013)

Spherical object in radiation field from Gaussian source

Stanislaw Tryka
Opt. Express 13(16) 5925-5938 (2005)