A fiber optic system for long transmission distances uses an SM fiber optic with dB quenching = 0.2dB / km and coupling loss (s)

A fiber optic system for long transmission distances uses an SM fiber optic with αdB quenching = 0.2dB / km and coupling loss α (s) = 0.1dB / km. A laser optical source is used as a source, which works at wavelength λ = 1.55μm, has a spectral width Δλ = 0.1nm and generates optical power P (1) = 10mW. The detector used has a sensitivity of P (0) = - 20dBm and the losses in each connector are α (c) = 2dB.

a) Determine the maximum transmission distance for the given system.

b) If after 50km an optical amplifier would be used, with amplification G = 10dB, determine how much the maximum transmission distance would increase.

c) Discuss how you can improve the transmission distance. What can you say about the impact of dispersion on this system?