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A Wavelength Converter Integrated with a Discretely Tunable Laser ...

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28 3. Semiconductor optical amplifier operation and device characterization<br />

[mW]<br />

P<br />

stimulated<br />

emmision<br />

spontaneous<br />

emmision<br />

Ith<br />

ΔI<br />

ΔP<br />

I<br />

wavelength<br />

wavelength<br />

spectral power<br />

Figure 3.6: A typical LI-curve and its spectra at different injection currents.<br />

3.3.2 Light output power and spectra<br />

This section describes the characteristics of a LI-curve, which shows the output power of the<br />

laser light as a function of the injection current . An illustration of a typical LI-curve is shown<br />

in Fig. 3.6. For injection currents below threshold, £ , the laser output are dominated by<br />

spontaneous emission. For © , above threshold, the laser condition is satisfied (see<br />

previous section), and stimulated emission dominates the output. The gain clamps due to the<br />

feedback from the photons in the cavity. Consequently, since the material gain is a monotonic<br />

function of the carrier density , also the carrier density and the level of spontaneous emission<br />

clamp.<br />

The laser power <br />

above threshold can be calculated by taking into account three factors: the<br />

number of generated photons per injected electron (internal quantum efficiency ), the number<br />

of injected electrons above the threshold current, and the fraction of photons that is coupled<br />

out of the cavity. (ASE power can be neglected.) If this is multiplied <strong>with</strong> the photon energie<br />

then the power can be written as,<br />

<br />

<br />

<br />

<br />

<br />

<br />

¡ <br />

<br />

(3.21)<br />

¡ <br />

¡ <br />

<br />

(3.22)<br />

¡<br />

where denotes the elementary charge ¡ and all internal loss contributions, thus not the<br />

mirror loss, which equals the laser output. The butt-joint loss was assumed to be negligible<br />

, is proportional to the differential quantum<br />

<br />

. The slope of the LI-curve, <br />

<br />

¡<br />

efficiency , which is defined as the additional number of photons in the laser output per<br />

additionally injected electron into the SOA. The efficiency can be found after differentiating<br />

Eq. 3.21 <strong>with</strong> respect to and by making use of the expression for the laser condition in<br />

Eq. 3.15:

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