Generation Recombination Noise in GaN Photoconducting Detectors
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(
i ( t ) = I 0 exp − t τ
)
(1)
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The time constant τ is a characteristic of the deep level and is related to its emission (τe) and capture (τc) time constants according to the relation12 1 τ
=
1 τ e
+
1 τ c
(2)
When the noise arises from deep levels with a well-defined time constant the observed noise spectrum has a Lorentzian shape which can be described as i 2
=
A * ∆ f 2 1 + f f 0
(3)
where f0 = 1/2πτ is the characteristic frequency associated with the time constant τ and A is the amplitude of the noise current at frequencies f
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