  A number of radio pulsars exhibit intriguing mode-switching behavior. Recent
observations of PSR B0943+10 revealed correlated radio and X-ray mode switches,
providing a new avenue for understanding this class of objects. The large X-ray
pulse fraction observed during the radio quiet phase (Q mode) was previously
interpreted as a result of changing obscuration of X-rays by dense
magnetosphere plasma. We show that the large X-ray pulse fraction can be
explained by including the beaming effect of a magnetic atmosphere, while
remaining consistent with the dipole field geometry constrained by radio
observations. We also explore a more extreme magnetic field configuration,
where a magnetic dipole displaced from the center of the star produces two
magnetic polar caps of different sizes and magnetic field strengths. These
models are currently consistent with data in radio and X-rays and can be tested
or constrained by future X-ray observations.
