17. A slab of intrinsic GaAs, 3 cm long, 2 cm wide, and 0.3 cm thick is illuminated by a monochromatic light beam, at which frequency the absorption coefficient is 500 cm The intensity of the beam is 5 x 10 Wcm, and the sample is at room temperature. a) Calculate the photon flux incident on the slab. b) At what depth does the intensity decrease to 5% of its value at the surface? c) Calculate the number of electron-hole pairs created per second in the slab. (Assume that the beam entering is totally absorbed through fundamental transition.) d) Calculate the increase in the conductivity Ao due to the illumination. Take the recombination time to be 2 x 10 s. [Data: The dielectric constant of GaAs is 10.4].

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17. A slab of intrinsic GaAs, 3 cm long, 2 cm wide, and 0.3 cm thick is illuminated by a
monochromatic light beam, at which frequency the absorption coefficient is 500 cm .
The intensity of the beam is 5 x 10 W cm, and the sample is at room temperature.
a) Calculate the photon flux incident on the slab.
b) At what depth does the intensity decrease to 5% of its value at the surface?
c) Calculate the number of electron-hole pairs created per second in the slab.
(Assume that the beam entering is totally absorbed through fundamental
transition.)
d) Calculate the increase in the conductivity Ao due to the illumination. Take the
recombination time to be 2 x 10 s. [Data: The dielectric constant of GaAs is
10.4].
Transcribed Image Text:17. A slab of intrinsic GaAs, 3 cm long, 2 cm wide, and 0.3 cm thick is illuminated by a monochromatic light beam, at which frequency the absorption coefficient is 500 cm . The intensity of the beam is 5 x 10 W cm, and the sample is at room temperature. a) Calculate the photon flux incident on the slab. b) At what depth does the intensity decrease to 5% of its value at the surface? c) Calculate the number of electron-hole pairs created per second in the slab. (Assume that the beam entering is totally absorbed through fundamental transition.) d) Calculate the increase in the conductivity Ao due to the illumination. Take the recombination time to be 2 x 10 s. [Data: The dielectric constant of GaAs is 10.4].
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