Tests of gauge boson couplings in polarized $e^-\gamma$ collisions

Single $W$-boson production in $e^-\gamma$ collisions with polarized beams is investigated. Helicity amplitudes for general couplings are derived and their properties are discussed. The results are applied to the Standard Model (SM) and the left-right model. In the framework of SM the updated estimates of the measurement precision of photon anomalous coupling parameters $\kappa,$ $\lambda$ at the NLC with $\sqrt{s_{ ee }}=500$GeV are obtained. The production of right-handed gauge bosons $W^-_{ 2 }$ in these collisions is also analysed.