better beam specs
can reach very high powers while maintaining a low divergence and small beam diameter
more energy efficient
more stable (DPSS lasers have a tendency to fluctuate or mode-hop)
no residual IR
less complex construction
Both types of lasers can produce exclusive wavelengths that the other type (yet) cannot.
Diode lasers have a very short cavity, and thus have a lot of modes. Because the gain curve is quite wide, the spectrum is also wide. A DPSS has a much and much larger cavity. The linewidth is much smaller and because the gain curve is smaller the spectrum is much better.
A diode-pumped solid-state laser (DPSSL) is a solid-state laser made by pumping a solid gain medium, for example, a ruby or a neodymium-doped YAG crystal, with a laser diode.
DPSSLs have advantages in compactness and efficiency over other types, and high power DPSSLs have replaced ion lasers and flashlamp-pumped lasers in many scientific applications, and are now appearing commonly in green and other color laser pointers.
What is the difference between diode laser and laser diode?
Although the terms diode laser and laser diode are often used with the same meaning, it is appropriate to distinguish the terms: the diode laser is a laser device, which may sometimes consist only of a single laser diode, but may also contain additional items.