Grid-based dynamic electronic publication: A case study using combined experiment and simulation studies of crown ethers at the air/water interface.
Esther R Rousay, Hongchen Fu, Jamie M Robinson, Jeremy G Frey, Jonathan W Essex
School of Chemistry, University of Southampton,
Highfield, Southampton, SO17 1BJ, UK
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Fresnel Equations

Short Description
The Fresnel Equations describe the behaviour of light beam when moving between two media of differing refractive indices.

Long Description
The Fresnel Equations describe the behaviour of light beam when moving between two media of differing refractive indices. At the point the beam meets the interface, reflection and/or refraction may occur.

Schematic of light reflecting and refracting from an interface between materials of refractive index n1 and n2.
The fraction of the incident light that is reflected from the interface is given by the reflection coefficient R, and the fraction refracted by the transmission coefficient T. The Fresnel equations may be used to calculate R and T in a given situation. The intensity of the reflected (or transmitted) light is dependant on the polarisation of the incident light. For light with an electric field perpendicular to the plane the above figure (s-polarised), the reflection co-efficient is
Rs=(n1 cos(φ1)-n2cos(φ)
n1cos(φ1)+n2cos(φ)
)2

and for light polarised in the plane of the above figure, the reflection co-efficient is
Rp=(n2 cos(φ1)-n1cos(φ)
n2cos(φ1)+n1cos(φ)
)2

The transmission co-efficients are then found by Tp=1-Rp and Ts=1-Rs

Pseudonyms
Fresnel Equations,