Scattering in $\mathcal{P}\mathcal{T}$ and $\mathcal{R}\mathcal{T}$ Symmetric Multimode Waveguides: Generalized Conservation Laws and Spontaneous Symmetry Breaking beyond One Dimension

Li Ge, Konstantinos G. Makris, Demetrios N. Christodoulides +1

We extend the generalize conservation law of light propagating in a one-dimensional $\mathcal{P}\mathcal{T}$-symmetric system, i.e., $|T-1|=\sqrt{R_L{R}_R}$ for the transmittance $T$ and the reflec…