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The complex refractive index, m, of a material is related to the dielectric function, ε, of that material by the following equation:
| m2 = με | (1) |
where μ is the magnetic permeability of the material. Assume that με ≅ ε. With this simplification and by following the sign convention adopted in TPDSci for the complex refractive index, m = m' - im" and the dielectric function, ε = ε' - iε", prove the following equations linking the real and imaginary parts of these properties:
| m' 2 - m" 2 = ε' | (2) |
| 2m'm" = ε" | (3) |
and
| 2m' 2 = ε' + √(ε' 2 + ε" 2 ) | (4) |
| 2m" 2 = - ε' + √(ε' 2 + ε" 2 ) | (5) |
| CITATION: Jonasz M. 2010. Proble: Refractive index and dielectric function (www.tpdsci.com/Tpc/RIDF.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 06-Nov-2010 Modified: 06-Nov-2010 Peer-reviewed: N/A |
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