A Non-Reciprocal Elliptic Spectral Solution of the Right-Angle Penetrable Wedge Transmission Problem for $ν=\sqrt{2}$
We consider the two-dimensional time-harmonic transmission problem for an impedance-matched (ρ= 1) right-angle penetrable wedge at refractive index ratio ν= \sqrt{2}, in the integrable lemniscatic configuration (θ_w ,ν,ρ) = (π/4,\sqrt{2},1). Starting from Sommerfeld spectral representations, the transmission conditions on the two...