  We propose a new method of detecting supersymmetry at LEP2 when R-parity is
violated by an LLE operator. We consider the processes $e\gamma\ra\snu_j e_k$
and $e\gamma \ra \slep_k \bar{\nu}_j$. These are sensitive to seven of the nine
LLE-operators. A Monte-Carlo analysis is performed to investigate the
sensitivity to the sneutrino signal, and the 5$\sigma$ discovery contours in
the mass vs. coupling plane are presented. For an integrated luminosity of 100
pb^-1, sneutrinos with masses up to 170 GeV/c^2 could be discovered in the near
future at LEP2. For the charged slepton production the cross-section is too low
to be detectable.
