Recent experiments suggest that polarized photons may couple significantly to
pseudoscalar particles such as axions. We study the possible observational
signatures of axion-photon coupling for radiation from magnetic stars, with
particular focus on neutron stars. We present general methods for calculating
the axion-photon conversion probability during propagation through a varying
magnetized vacuum as well as across an inhomogeneous atmosphere. Partial
axion-photon conversion may take place in the vacuum region outside the neutron
star. Strong axion-photon mixing occurs due to a resonance in the atmosphere,
and depending on the axion coupling strength and other parameters, significant
axion-photon conversion can take place at the resonance. Such conversions may
produce observable effects on the radiation spectra and polarization signals
from the star. We also apply our results to axion-photon propagation in the Sun
and in magnetic white dwarfs. We find that there is no appreciable conversion
of solar axions to photons during the propagation.Comment: 12 pages, 11 figures. Minor changes. PRD accepte