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| Measuring attenuation of light: Optimum pathlength defining factor | Parent topic |
Fig. 1. The pathlength-dependent factor in the Eq. 3 for the relative error dc/c of the attenuation coefficient, c, as a function of the nondimensional optical pathlength, cz, (i.e. the optical thickness) of the medium, with z being the geometrical pathlength. This factor assumes a minimum of at cz = 1. Hence, for example, at cz = 1 with a given relative error in the measurement of the power of light, dΦ / Φ0, where Φ0 is the power of light entering the medium, dc/c = -exp(1) dΦ / Φ0 ~ -2.718 dΦ / Φ0. The above relationship applies when the photon shot noise is not significant. See also a modified relationship accounting for the photon noise (Fig. 2).
| CITATION: Swanson N. L., Jonasz M. 2007. Measuring attenuation of light: Optimum pathlength defining factor (www.tpdsci.com/Tpc/AtnCfMsOptmPlenFig1.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 21-Nov-2007 Modified: 16-Jan-2008 Peer-reviewed: 22-Dec-2007 |
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