The Maluzhinets theory developed in the 1950s for plasmons on a wedge surface with a small impedance ζ is used for the calculation of surface plasmon reflection, refraction and transformation into photons. Photon radiation takes place primarily in the direction of plasmon motion along the wedge surface. The angular distribution of the radiated photons has a Lorentzian form with width ~ζ. The reflection and refraction coefficients and the diffuse part of the photon radiation are also ~ζ.
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Vera B. Zon (2007) studied this question.