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13. Fresnel's Equations for Reflection
and Transmission
Incident, transmitted, and reflected beams
Boundary conditions: tangential fields are continuous
Reflection and
transmission
coefficients
The "Fresnel Equations"
Brewster's Angle
Total internal reflection
Power reflectance
and transmittance Augustin Fresnel
1788-1827
Posing the problem
What happens when light, propagating in a
uniform medium, encounters a smooth interface
which is the boundary of another medium (with a
different refractive index)?
k-vector of the
incident light
nincident boundary First we need to
ntransmitted
define some
terminology.
Definitions: Plane of Incidence and
plane of the interface
Plane of incidence (in this
illustration, the yz plane) is the y
plane that contains the incident
and reflected k-vectors. z x
Plane of the interface (y=0, the xz plane) is the plane that
defines the interface between the two materials
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