The dynamical spin structure factor and the Raman response are calculated f
or structurally dimerized and spin-Peierls chains in a magnetic field, usin
g exact diagonalization techniques. In both cases there is a spin liquid ph
ase composed of interacting singlet dimers at small fields h<h(c1), an inco
mmensurate regime (h(c1) <h<h(c2)) in which the modulation of the tripler e
xcitation spectra adapts to the applied held, and a fully spin-polarized ph
ase above an upper critical field h(c2). For structurally dimerized chains,
the spin gap closes in the incommensurate phase, whereas spin-Peierls chai
ns remain gapped. In the spin liquid regimes, the dominant feature of the t
riplet spectra is a one-magnon bound state, separated from a continuum of s
tates at higher energies. There are also indications of a singlet bound sta
te above the one-magnon triplet.