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Optical Networks, 3rd Edition by Galen Sasaki, Kumar Sivarajan, Rajiv Ramaswami

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APPENDIX I

Receiver Noise Statistics

WE START OUT BY DERIVING an expression for the statistics of the photocurrent in the pin receiver, along the lines of [BL90, RH90]. It is useful to think of the photodetection process in the following way. Each time a photon hits the receiver, the receiver generates a small current pulse. Let tk denote the arrival times of photons at the receiver. Then the photocurrent generated can be expressed as

image (I.1)

where e is the electronic charge and eh(ttk) denotes the current impulse due to a photon arriving at time tk. Note that since eh(ttk) is the current due to a single electron, we must have

The arrival ...

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