  We provide a description of the far-field encountered in the diffraction
problem resulting from the interaction of a monochromatic plane-wave and a
right-angled no-contrast penetrable wedge. To achieve this, we employ a
two-complex-variable framework and use the analytical continuation formulae
derived in (Kunz $\&$ Assier, QJMAM, 76(2), 2023) to recover the wave-field's
geometrical optics components, as well as the cylindrical and lateral
diffracted waves. We prove that the corresponding cylindrical and lateral
diffraction coefficients can be expressed in terms of certain
two-complex-variable spectral functions, evaluated at some given points.

Analysis of PDEs