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Scattering of a plane electromagnetic wave by an anisotropic impedanceright-angled concave wedge at skew incidence is analyzed. A closed-formsolution is derived by reducing the problem to a symmetric order-2 vectorRiemann-Hilbert problem (RHP) on the real axis. The problem of matrixfactorization leads to a scalar RHP on a genus-3 Riemann surface. Its solutionis derived by the Weierstrass integrals. Due to a special symmetry of theproblem the associated Jacobi inversion problem is solved in terms of ellipticintegrals, not a genus-3 Riemann \`e-function. The electric and magnetic fieldcomponents are expressed through the Sommerfeld integrals, and the incident andreflected waves are recovered.

Diffraction of an obliquely incident electromagnetic wave by an impedance right-angled concave wedge