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Explain the following terms:
i. Quantum efficiency
ii. Responsivity
Marks: 2M/5M
Year: Dec2014, Dec2013, May2013, May2012,May2014
written 8.5 years ago by | • modified 8.5 years ago |
Marks: 2M/5M
Year: Dec2014, Dec2013, May2013, May2012,May2014
written 8.5 years ago by |
Quantum Efficiency ɳ:
1.Quantum Efficiency is defined as the ratio of number of electrons collected to the number of incident photons.
$ɳ_q = \frac{number \ \ ofelectrons \ \ collected}{number \ \ ofincident \ \ photons}$
$ɳ_q = \frac{R_e}{R_p}$ = Quantum efficiency
$R_e$ = corresponding electrons rate (electrons/sec)
Responsivity:
It represents the sensitivity of a photodetector.
The function of photodetector is to convert the optical signal into electrical signal.
More photons that strike the photodetector, more change carriers will be produced. i.e greater will be the photo current I.
The performance of a photodiode is characterized by a term Responsivity R.
Photocurrent is directly proportional to incident optical power ($P_{in}$).
$$I_p α P_{in} \\ \; \\ I_p = RP_{in}$$
As the energy of photon E = hv, then incident photon rate $R_p = \frac{P_{in}}{hv}$
where
$P_{in}$ = incident optical power
Electron rate $R_e = \frac{I_p}q$
Quantum efficiency $ɳ = \frac{R_e}{R_p}$
$$\boxed{R = \frac{ɳqλ}{hc}}$$
where v = c/λ and hc = E_p(energy of photon)
From above equation, Responsivity is directly proportional to Quantum efficiency at particular wavelength.