Polar magneto-optic Kerr and Faraday effects in finite periodic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="script">PT</mml:mi></mml:math> -symmetric systems

We discuss the anomalous behavior of Faraday (transmission) and polar Kerr (reflection) rotation angles propagating light, in finite periodic parity-time ($\mathcal{P}\mathcal{T}$) symmetric structures, consisting $N$ cells. The unit cell potential is two complex $\delta$-potentials placed on both boundaries ordinary dielectric slab. It shown that, for a given set parameters describing system, phase transition-like systems can take place. In value one become negative, suffer from spectral singularities give strong enhancement near singularities. also that real part angle KR, $\theta^{R}_1$, always equal to $\theta^{T}_1$ FR, no matter what system due symmetry constraints. imaginary KR $\theta^{R^{r/l}}_2$ are related $\theta^{T}_2$ FR by symmetry. Calculations based approach generalized nonperturbative characteristic determinant, which valid layered with randomly distributed delta potentials, show spectrum such structures has several resonant peaks. Some them coincide transmission peaks, providing simultaneous large rotations enhanced an order or magnitude. provide recipe funding one-to-one relation between FR.