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Incident optical power

A photodiode has quantum efficiency of 65% when a photon of energy of $1.5 x 10^{-19}J$ are incident upon it. At what wavelength is the photodiode operating?

Calculate the incident optical power required to operate photo current of 2.5 µA when the photodiode is operating as above.

Mumbai University > Electronics Engineering > Sem7 > Optical Fiber Communication

Marks: 10M

Year: May 2014

1 Answer
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Given: $η=65\%=0.65$

$$E_p= 1.5 ×10^{-19}J \\ \; \\ I_p= 2.5 µA \\ \; \\ $$

To find: Operating wavelength λ

Incident optical power ${P_{in}}$

Solution:

$R = \frac{ɳqλ}{hc} \\ \; \\ hν = E_p and ν= \frac{c}λ \\ \; \\ λ= \frac{ hc}{E_p} = \frac{6.62×10^{-34}∙3×10^8}{1.5 ×10^{-19} }=0.21µm \\ \; \\ ∴ λ=1.324 µm \\ \; \\ R =\frac{ɳq}{hν}= \frac{ɳq}{E_p} = \frac{0.65 × 1.6 ×10^{-19} }{1.5 ×10^{-19} }= 0.69 ∴ R=0.69 \\ \; \\ R = \frac{I_p}{P_{in}} = \frac{2.5×10^{-6}}P_{in} =0.69 \\ \; \\ ∴ P_{in}=3.6 µW \\ \; \\ $

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