Accurate analytical approximations are derived for the equivalent transverse spot size, d/⌫ ͑Ͻ5% error͒, and the transverse beamwidth 1/2 ͑Ͻ2% error͒, of broad-waveguide-type diode lasers, over a wide range in waveguide width: from the first-order-mode cutoff to the third-order-mode cutoff. The analytical formulas are found to be in good agreement with experimental values. For low-series-resistance and thermal-resistance devices, it is found that the junction-temperature rise ⌬T j in continuous wave ͑CW͒ operation is a strong function of both the characteristic temperature T 1 for the external differential quantum efficiency D as well as of the heatsink thermal resistance. If the device has relatively temperature-insensitive D ͑i.e., T 1 տ1000 K) the maximum CW power as well as the power density at catastrophic optical mirror damage, P COMD , are limited, for a given active-region material, only by the heatsink heat-removal ability. For large d/⌫, 0.97 m emitting, 100 m stripe InGaAs/InGaAs͑P͒/GaAs devices with T 1 ϭ1800 K, record-high CW and quasi-CW ͑100 s wide pulses͒ output powers are obtained. The ratio of quasi-CW to CW P COMD values is only 1.3, in contrast to devices of poor carrier confinement and subsequent low-T 1 values ͑ϳ140 K͒, for which the ratio is 1.9, and whose maximum CW powers are ϳ40% less than those obtainable from high-T 1 devices. © 1999 American Institute of Physics. ͓S0003-6951͑99͒03421-X͔In the quest for high continuous-wave ͑CW͒ powers from diode lasers, one key concept has been that of the broad-waveguide ͑BW͒ separate-confinement heterostructure ͑SCH͒;1,2 that is, a structure that concomitantly provides both a large equivalent ͑transverse͒ spot size 3 as well as low internal cavity loss, 1-3 ␣ i (р1 cm
Ϫ1) with no sacrifice in wallplug efficiency at high drive levels. 4 As a result, record-high CW powers have been achieved from BW-type devices at wavelengths from the visible to the midinfrared.
4-9Here, we derive for BW-type devices accurate analytical expressions for the equivalent spot size, d/⌫ ͓d is quantumwell͑s͒ thickness and ⌫ the ͑transverse͒ optical-confinement factor͔ and the transverse beamwidth. In addition, we compare record-high CW and quasi-CW ͑QCW͒ data at ϭ0.97 m and determine which parameters are critical for achieving high CW power at catastrophic optical mirror damage ͑COMD͒.From the definition 7 of the internal optical-power density at COMD, P COMD , one can express the maximum CW power aswhere W is the stripe width and R the front-facet reflectivity. It has been established that for conventionally facetpassivated diodes P COMD is a function of the active-region material, 10 being in effect inversely proportional 11 to the surface-recombination velocity s as long as 12 sу10 5 cm/s. That is, for a given active-region material with sу10 5 cm/s and given stripe width, P max,cw directly scales with d/⌫. One main way to increase d/⌫ is to use BW-SCH structures.
3A schematic representation of the BW-SCH laser structure and its optical-mode profile is shown in Fig. 1. ...