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Black widows are millisecond pulsars ablating their companions. The materialblown from the companion blocks the radio emission, resulting in radioeclipses. The properties of the eclipse medium are poorly understood. Here, wepresent direct evidence of the existence of magnetic fields in the eclipsemedium of the black widow PSR J2051$-$0827 using observations made with theFive-hundred-meter Aperture Spherical radio Telescope (FAST). We detect aregular decrease in rotation measure (RM) in the egress of eclipse, changingfrom $60\,\rm rad\,m^{-2}$ to $-28.7\,\rm rad\,m^{-2}$. The RM graduallychanges back to normal when the line-of-sight moves away from the eclipse. Theestimated line-of-sight magnetic field strength in the eclipse medium is $\sim0.1$ G. The RM reversal could be caused by a change of the magnetic fieldstrength along the line of sight due to binary orbital motion. The RM reversalphenomenon has also been observed in some repeating fast radio bursts (FRBs),and the study of spider pulsars may provide additional information about theorigin of FRBs.

Change of rotation measure during eclipse of a black widow PSR J2051$-$0827