Q. For FWM in SOA, What is the frequency of the third optical field generated at the device output. Also find out the equation for detuning between signal and pump.

A
Frequency Wp = 2Ws - Wc = Ws - O, detuning between signal and pump O = Wc - Ws
B
Frequency Wc = 2Wp - Ws = Wp - O, detuning between signal and pump O = Ws - Wp
C
Frequency Ws = 2Wp - Wc = Wp - O, detuning between signal and pump O = Wc - Wp
D
Frequency Wp = 2Wc - Ws = Wc - O, detuning between signal and pump O = Ws - Wc
Solution:

Four-wave mixing (FWM) is a nonlinear effect that takes place when two waves (signal and pump) at different wavelengths are injected into an SOA. A third optical field is generated at the device output, with frequency Wc = 2Wp – Ws = Wp – O , where Wp and Ws are the frequencies of the pump and signal field respectively, and O = Ws – Wp is detuning between signal and pump.

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