Abstract. We develop a series of new analytical expressions describing the physical properties of the kinetic Alfv6n wave. The wave becomes strongly compressive when k_7_ • is of the order of the ion inertial length. Thus, in a low-/3 plasma, the kinetic Alfv6n wave can be compressive at values of k ñ for which the dispersion relation departs only slightly from that of the usual MHD Alfvfin wave. The compression is accompanied by a magnetic field fluctuation •Bll such that the total pressure perturbation •Ptot m 0. Thus the wave undergoes transit-time damping as well as Landau damping; the two effects are comparable if the ion thermal speed is of the order of the Alfv6n speed. We find that the transverse electric field is elliptically polarized but rotating in the electron sense; this surprising behavior of the polarization of the Alfv6n branch was discovered numerically by Gary [1986]. We derive a new dispersion relation which explicitly shows how the kinetic Alfvfin wave takes on some properties of the large-k ñ limit of the slow mode. We also derive approximate dispersion relations valid for a multi-ion plasma with differential streaming. We suggest that the kinetic Alfvfin wave may be responsible for the flattening of density fluctuation spectra observed at large wavenumbers in the corona and in the solar wind. We also find that our derived properties of the kinetic Alternatively, large values of kñ could be the consequence of a turbulent cascade. In any case, at large values of k z, the Alfvfin mode, which is normally noncompressive, will become the kinetic Alfv6n wave, which is compressive. Harmon [1989] has suggested that the compressibility may be recognizable in the power spectra of coronal density fluctuations, which are derived from a variety of radio sounding techniques. Indeed, 14,811