“…Hence, the detailed experimental and theoretical study of BA-ECDLs and high-power (HP) BA-ECDLs, in particular, becomes much more complex [4][5][6][7][8][9][10][11][12][13][14][15]. Due to potential applications of BA-HPDLs as HP optical sources, the majority of works on BA-HPECDL systems are discussing methods for tailoring the emitted beam and improving the beam quality by optical feedback from a properly designed EC [8][9][10][11][12], study the damages implied by unwanted reinjection of the optical fields [13], or analyze the optical modes governed by the reduced-dimension PDE models [14][15][16]. In the present paper, we consider theoretical modelling and numerical studies of a BA-HPDL subjected to optical feedback from a particular type of EC, see figure 1(a), containing an anti-reflection (AR) coated photonic crystal (PhC) as spatial filtering element, see figure 1(b).…”