er H A fibre coupled DFB laser with 10 mW output power, centred at 1550 nm wavelength, is fibre-coupled to a fused fibre coupler which works as a 50:50 splitter. The splitter delivers equal power to the two arms of an integrated optics Mach-Zehnder interferometer with electro optic (EO) modulators in each arm. The output of the interferometer is fibre-coupled to a InGaAs pin photodiode detector with: Responsivity R = 0.75 A/W, bandwidth B = 1 GHz, load resistance RL = 50 , dark current la = 5 nA. Assume no joint losses and fibre losses between the laser, splitter, interferometer and detector Pin fused fibre coupler P₁ EO Modulator 1 EO Modulator 2 Pout Detector P₂ igure Q2:1: Schematic of part of optical communications system (a) Consider the fused fibre coupler directly connected to the DFB laser: i) If the coupling length Lc of the fused fibre coupler is 250 μm, calculate the minimum interaction length L for the 50:50 power split at the wavelength of the DFB laser used in the setup. ii) Replacing the DFB laser with a Fabry Perot laser operating at 1310 nm leads to a change in coupling length Lc to 200 μm. Calculate the new power ratio between P₁ and P2 if the interaction length L is kept at 1.3125 mm.

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Q2.
Laser
The optical system shown in Fig. Q2:1 has the following
components:
A fibre coupled DFB laser with 10 mW output power, centred at 1550
nm wavelength, is fibre-coupled to a fused fibre coupler which works
as a 50:50 splitter. The splitter delivers equal power to the two arms
of an integrated optics Mach-Zehnder interferometer with electro
optic (EO) modulators in each arm. The output of the interferometer
is fibre-coupled to a InGaAs pin photodiode detector with:
Responsivity R = 0.75 A/W, bandwidth B = 1 GHz, load resistance
RL = 50 , dark current la = 5 nA. Assume no joint losses and fibre
losses between the laser, splitter, interferometer and detector
P in
fused fibre coupler
(a)
P₁
EO Modulator 1
EO Modulator 2
P out
Detector
P₂
Figure Q2:1: Schematic of part of optical communications system
Consider the fused fibre coupler directly connected to the DFB
laser:
i) If the coupling length Lc of the fused fibre coupler is
250 μm, calculate the minimum interaction length L for the
50:50 power split at the wavelength of the DFB laser used
in the setup.
ii) Replacing the DFB laser with a Fabry Perot laser operating
at 1310 nm leads to a change in coupling length Lc to
200 μm. Calculate the new power ratio between P₁ and P2 if
the interaction length L is kept at 1.3125 mm.
Transcribed Image Text:Q2. Laser The optical system shown in Fig. Q2:1 has the following components: A fibre coupled DFB laser with 10 mW output power, centred at 1550 nm wavelength, is fibre-coupled to a fused fibre coupler which works as a 50:50 splitter. The splitter delivers equal power to the two arms of an integrated optics Mach-Zehnder interferometer with electro optic (EO) modulators in each arm. The output of the interferometer is fibre-coupled to a InGaAs pin photodiode detector with: Responsivity R = 0.75 A/W, bandwidth B = 1 GHz, load resistance RL = 50 , dark current la = 5 nA. Assume no joint losses and fibre losses between the laser, splitter, interferometer and detector P in fused fibre coupler (a) P₁ EO Modulator 1 EO Modulator 2 P out Detector P₂ Figure Q2:1: Schematic of part of optical communications system Consider the fused fibre coupler directly connected to the DFB laser: i) If the coupling length Lc of the fused fibre coupler is 250 μm, calculate the minimum interaction length L for the 50:50 power split at the wavelength of the DFB laser used in the setup. ii) Replacing the DFB laser with a Fabry Perot laser operating at 1310 nm leads to a change in coupling length Lc to 200 μm. Calculate the new power ratio between P₁ and P2 if the interaction length L is kept at 1.3125 mm.
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