A problem of the binary pulsar radio eclipses is considered. Recent th
eoretical work concerning this problem is discussed and a plasma mecha
nism of radio eclipses in the PSR B1957+20 binary system is presented.
The companion star is assumed to be a degenerate white dwarf with nea
rly dipolar magnetosphere filled with relativistic particles of the pu
lsar wind. It is argued that radio waves are strongly damped in the co
mpanion's magnetosphere due to the cyclotron resonance with particles
of the electron-positron plasma. The large, stable, continuous and fre
quency-dependent eclipses should occur as a result of this process, wh
ich agrees well with observations. Possible mechanisms of generation o
f the optical and high-energy emission are also suggested in the frame
work of the presented model.