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BSA Flow Software Installation and User's Guide - CSI

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Figure 7-31: Reflection <strong>and</strong> refraction at an interface (drawn for air-water).<br />

The angles of the reflected <strong>and</strong> the transmitted light, ϕ r <strong>and</strong> ϕ t , are related to<br />

the angle of incidence, ϕ i , <strong>and</strong> the refractive indices, n 1 <strong>and</strong> n 2 , by the two<br />

equations:<br />

ϕr =−ϕi<br />

<strong>and</strong><br />

(A1-1)<br />

n sin ϕ = n sin ϕ<br />

(A1-2)<br />

1 i 2 t<br />

Here, the angles ϕ i , ϕ r <strong>and</strong> ϕ t all lie in the same plane of incidence, which<br />

contains the incident ray <strong>and</strong> the normal to the interface in the point of<br />

incidence.<br />

In the following calculations it is assumed that the materials involved are<br />

completely dielectric (non-conductive). Thus, the refractive indices n 1 <strong>and</strong><br />

n 2 have only real terms. This means that if the incident light is polarized<br />

either perpendicular or parallel to the plane of incidence, the transmitted<br />

light is polarized in the same orientation.<br />

It should be pointed out that the amplitude of the transmitted light is<br />

polarization dependent. Therefore, if the incident light is polarized in<br />

another orientation, the polarization of the transmitted light will, as a rule, be<br />

rotated.<br />

Critical angle When the incident light comes from the denser side of the interface<br />

(n 1 > n 2 ), there is a critical angle of incidence above which no light is<br />

transmitted (total reflection):<br />

<strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>:Reference guide 7-35

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