I might be recalling incorrectly, but I read "Dark Sun" last summer, and I don't think that true fusion devices are deployed. Edward Teller was really devoted to developing a true fusion device (whereby nuclei of D2 or T2 are fused into He + Energy), and I think he succeeded with the "Ivy Mike" device, but it weighed something like 20 tons and had an associated cryogenic plant to go along with it.
If I understand correctly, thermonuclear devices are really just intensified fission bombs. Primary fission sets off secondary low-efficiency fusion which in turn produces a crap-ton of neutrons that greatly increase the efficiency of any remaining fission reactions.
Thoughts? I'm guessing the guy with the gnarly equations might be able to correct me.