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Diffraction of a surface wave on a rectangular wedge with impedance faces isstudied using the Sommerfeld-Malyuzhinets technique. An analog of Landau'sbypass rule in the theory of plasma waves is introduced for selection of acorrect branch of the Sommerfeld integral, and the exact solution is given interms of imaginary error function. The formula derived is valid both in thenear-field and far-wave zones. It is shown that a diffracted surface wave iscompletely scattered into freely propagating electromagnetic waves and neitherreflected nor transmitted surface waves are generated in case of bare metalswhich have positive real part of surface impedance. The scattered wavespropagate predominantly at a grazing angle along the direction of propagationof the incident surface wave and mainly in the upper hemisphere regarding thewedge face. The profile of radiated intensity is nonmonotonic and does notresemble the surface wave profile which exponentially evanesces with thedistance from the wedge face.  Comparison with experiments carried out in the terahertz spectral range atNovosibirsk free electron laser has shown a good agreement of the theory andthe experiments.

Diffraction of surface wave on conducting rectangular wedge