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).
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd87c1090-474f-4d33-b950-f7b520908d16%2F6b95930b-a410-4c77-b3df-7ac61732c160%2Fsamrdrr_processed.png&w=3840&q=75)
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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Follow-up Questions
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Follow-up Question
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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