Electromagnetic Plane Waves: In infrared optical systems germanium is often used to form optical components. For infrared wavelengths, germanium can be considered lossless, non-magnetic (u,-1) and has a relative dielectric constant G-16. Consider a plane wave inside a piece of germanium incident at the interface between germanium and air. The plane wave is polarized parallel to the plane of incidence and the angle of incidence is halfway between the Brewster angle and the critical angle for total internal reflection. Germanium: Air: H1 = Ho : E = 16€, H2 = Ho : E2= €0 月。 y a) What is the angle of incidence? b) What are the reflection and transmission coefficients for the wave at this angle of incidence?

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Electromagnetic Plane Waves: In infrared optical systems germanium is
often used to form optical components. For infrared wavelengths, germanium can be considered
lossless, non-magnetic (u- 1) and has a relative dielectric constant e 16. Consider a plane
wave inside a piece of germanium incident at the interface between germanium and air. The
plane wave is polarized parallel to the plane of incidence and the angle of incidence is halfway
between the Brewster angle and the critical angle for total internal reflection.
Germanium:
Air:
H1 = Ho i E1 = 16e,
H2 = Ho i €2 = €o
%3.
Be
A,
a) What is the angle of incidence?
b) What are the reflection and transmission coefficients for the wave at this angle of
incidence?
Transcribed Image Text:Electromagnetic Plane Waves: In infrared optical systems germanium is often used to form optical components. For infrared wavelengths, germanium can be considered lossless, non-magnetic (u- 1) and has a relative dielectric constant e 16. Consider a plane wave inside a piece of germanium incident at the interface between germanium and air. The plane wave is polarized parallel to the plane of incidence and the angle of incidence is halfway between the Brewster angle and the critical angle for total internal reflection. Germanium: Air: H1 = Ho i E1 = 16e, H2 = Ho i €2 = €o %3. Be A, a) What is the angle of incidence? b) What are the reflection and transmission coefficients for the wave at this angle of incidence?
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