It's a real-world problem, often referred to as the "green gap". Attached is a decent illustration showing how materials just aren't/haven't been available that can emit green light with high efficiency and long lifetime. This chart is for LEDs and is a bit older now, but the same ideas still hold true and carry straight over to laser diodes (even if the current situation is looking better than what's on this graph). Millions of dollars have been spent in research trying to "close the green gap".
The right side of the chart, ie the red material side, hasn't really moved much in a long time. The left side however, the nitride material side, has been on its way up and is still moving, trying to "close the green gap". On the left side, pure GaN emits at like 365nm, and the more indium you add the higher the wavelength you get. But you have to make structures out of the material and the material quality has to be good for light emission, but the more indium you add, the harder it is to maintain good material quality. Instead of a nice InGaN alloy/mixture that's uniform and homogeneous, the material can sometimes want to become more like a mixture of InN and GaN, or the indium likes to cluster together, or you get other defects, like misfit dislocations. It's really hard to make materials that emit green light from direct injection of electricity, and then it's even harder to incorporate those materials into semiconductor structures, especially laser diodes, because the structures are much more complicated than LEDs and the tolerances much more strict as far as material quality and other things like that.