Laser Diode Simulator: L-I Curve, Threshold & Output Power

simulator intermediate ~10 min
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P = 24 mW — well above 20 mA threshold

At 80 mA injection current and 25°C, a 300 µm cavity laser diode with 30% reflectivity produces approximately 24 mW output power with a slope efficiency of 0.4 W/A.

Formula

I_th ∝ exp(T / T₀) — temperature dependence of threshold
P_out = η_d × (hν / q) × (I - I_th) for I > I_th
α_m = (1 / 2L) × ln(1 / R₁R₂) — mirror loss

From LED to Laser

A semiconductor laser diode is essentially a p-n junction driven hard enough that stimulated emission dominates over spontaneous emission and absorption. Below threshold, the device behaves as an LED, emitting broadband incoherent light. At threshold, the round-trip optical gain exactly compensates mirror and internal losses, and the device transitions abruptly to lasing — producing intense, coherent, monochromatic light from a chip smaller than a grain of sand.

The L-I Curve

The light-current (L-I) characteristic is the fundamental laser diode measurement. Below threshold current I_th, optical power is negligible. Above threshold, output power rises linearly with slope efficiency η_s = η_d × hν/q, where η_d is the differential quantum efficiency. The sharpness of the threshold 'knee' indicates device quality — a soft knee suggests high non-radiative recombination or gain suppression.

Temperature Effects

Temperature is the laser diode's worst enemy. Threshold current rises exponentially with temperature as carriers gain thermal energy and leak out of the active region. The characteristic temperature T₀ quantifies this sensitivity: InGaAsP lasers at 1550 nm have T₀ ≈ 50–70 K (temperature-sensitive), while GaAs lasers at 850 nm achieve T₀ ≈ 120–200 K. Thermoelectric coolers maintain stable operation but add power consumption and cost.

Cavity Design

The Fabry-Perot cavity formed by the cleaved crystal facets determines the laser's spectral and threshold properties. Shorter cavities reduce threshold but increase mirror loss. Reflectivity of the uncoated semiconductor-air interface is about 30% (from Fresnel equations). High-reflectivity coatings on the back facet and anti-reflection coatings on the output facet optimize both threshold and slope efficiency simultaneously.

FAQ

What is a laser diode threshold current?

Threshold current (I_th) is the minimum injection current at which optical gain equals total losses (mirror + internal), initiating stimulated emission. Below threshold, the device emits incoherent spontaneous emission like an LED. Above threshold, output power increases linearly with current.

How does temperature affect laser diode performance?

Temperature increases threshold current exponentially as I_th(T) = I₀ × exp(T/T₀), where T₀ is the characteristic temperature (50–200 K). Higher temperature also reduces slope efficiency and shifts the emission wavelength by ~0.3 nm/°C for InGaAsP lasers, requiring active cooling for wavelength-stable operation.

What determines slope efficiency?

Slope efficiency (dP/dI above threshold) depends on internal quantum efficiency, mirror loss fraction of total loss, and photon energy. Typical values range from 0.2 to 0.5 W/A. Higher mirror loss (lower reflectivity) increases slope efficiency but also raises threshold.

What is wall-plug efficiency?

Wall-plug efficiency is the ratio of optical output power to total electrical input power (P_out / V×I). Modern high-power laser diodes achieve >60% wall-plug efficiency, making them the most efficient light sources ever created. Telecom DFB lasers are typically 10–20% efficient.

Sources

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