Photonica

Slope efficiency

The local derivative of optical output power with respect to drive current in the lasing region of a laser diode LIV curve. Units are W/A or mW/mA.

Slope efficiency ηs\eta_s is defined as

ηs  =  dPoutdII>Ith,\eta_s \;=\; \left. \frac{d P_\text{out}}{d I} \right|_{I > I_\text{th}},

with units of W/A or mW/mA. It is determined by least-squares linear regression in the lasing region of the LIV curve (typically I1.2IthI \geq 1.2 \, I_\text{th}, below the onset of thermal rollover).

Slope efficiency depends on collection geometry. Single-facet measurements report the power emitted from one facet of the device; integrating-sphere measurements report the total emitted power. For symmetric uncoated Fabry–Pérot devices, the front-facet value is approximately half the total. For HR/AR-coated devices, the front-facet value is the asymmetric majority.

Typical single-facet values for uncoated edge-emitters:

SystemWavelengthηs\eta_s
InGaAsP / InP1310 / 1550 nm0.1–0.3 W/A
InGaAs / GaAs980 nm0.4–0.8 W/A
AlGaAs / GaAs808 nm0.3–0.7 W/A
GaN / InGaN405 nm0.5–1.5 W/A

Conversion to dimensionless differential quantum efficiency requires multiplication by qλ/(hc)q \lambda / (h c). Extraction methodology is covered in Slope Efficiency and Differential Quantum Efficiency from LIV Measurements.