Polycrystalline silicon (Poly-Si) is used in many applications (e. g. solar panels, microelectronic sensors). By its doping one can tune its electromagnetic properties. The following 1-D plane wave at a frequency of 30THz (infrared region) propagates in a heavily doped Poly-Si: E = Eet Eej e-jrz At this frequency and the doping level, the conductivity of the medium is 10,500 S m². The wave loses 3 dB of its power over a length of 500 nm. Find a. the amplitude attenuation constant, b. the relative permittivity of the medium, c. the wave phase velocity. Reminder: y = B- ja and dB(power) = 10 log (ratio).

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Polycrystalline silicon (Poly-Si) is used in many applications (e. g. solar panels,
microelectronic sensors). By its doping one can tune its electromagnetic properties. The
following 1-D plane wave at a frequency of 30THz (infrared region) propagates in a heavily
doped Poly-Si:
E = Eet Eelne-jy=
At this frequency and the doping level, the conductivity of the medium is 10,500 Sm'. The
wave loses 3 dB of its power over a length of 500 nm. Find
a. the amplitude attenuation constant,
b. the relative permittivity of the medium,
c. the wave phase velocity.
Reminder: y=B- ja and dB(power) = 10 log (ratio).
Transcribed Image Text:Polycrystalline silicon (Poly-Si) is used in many applications (e. g. solar panels, microelectronic sensors). By its doping one can tune its electromagnetic properties. The following 1-D plane wave at a frequency of 30THz (infrared region) propagates in a heavily doped Poly-Si: E = Eet Eelne-jy= At this frequency and the doping level, the conductivity of the medium is 10,500 Sm'. The wave loses 3 dB of its power over a length of 500 nm. Find a. the amplitude attenuation constant, b. the relative permittivity of the medium, c. the wave phase velocity. Reminder: y=B- ja and dB(power) = 10 log (ratio).
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how did you know the medium is a good conductor?

The question gives us the conductivity but we don't know the permittivity of the medium.

The medium is a good conductor if σ >>wε

And we don't know ε.

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