Home | Survey | Topics | Index | References | Dictionary | Contributing | Gallery | Community
| Problem: Optimum transmission of a medium for the determination of concentration of scattering/absorbing centers |
The relative error, dc/c, of the determination of the attenuation coefficient, c, assumes a minimum for a pathlength, z, in a medium which equals 1/c, according to the following equation:
| dc / c = - 1/ [ cz exp(-cz) ] dΦ / Φ0 | (1) |
(see Measuring attenuation of light: Optimum pathlength). By using the Beer-lambert law, prove that the above equation leads to the following formula for the relative error of the concentration, n, of the scattering and/or absorbing centers in the medium:
| dn / n = (1 / lnT ) (dT / T ) | (2) |
where T is the transmission of the medium at a pathlength z. Assume that the photon shot noise is negligible.
| CITATION: Swanson N. L., Jonasz M. 2007. Problem: Optimum transmission of a medium for the determination of concentration of scattering/absorbing centers (www.tpdsci.com/Tpc/AtnCfMsOptmT_P.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 2007 Modified: 25-Oct-2007 Peer-reviewed: PENDING |
| Copyright 2005-2008 MJC Optical Technology. All rights reserved. | Terms of use | Menu |