We find the spectrum of boundary bound states for the sine-Gordon model wit
h Dirichlet boundary conditions, closing the bootstrap and providing a comp
lete description of all the poles in the boundary reflection factors. The b
oundary Coleman-Thun mechanism plays an important role in the analysis. Two
basic lemmas are introduced which should hold for any (1 + 1)dimensional b
oundary field theory, allowing the general method to be applied to other mo
dels.