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In this work we first examine transverse and longitudinal fluxes in a $\calPT$-symmetric photonic dimer using a coupled-mode theory. Several surprisingunderstandings are obtained from this perspective: The longitudinal flux showsthat the $\cal PT$ transition in a dimer can be regarded as a classical effect,despite its analogy to $\cal PT$-symmetric quantum mechanics. The longitudinalflux also indicates that the so-called giant amplification in the $\calPT$-symmetric phase is a sub-exponential behavior and does not outperform asingle gain waveguide. The transverse flux, on the other hand, reveals that theapparent power oscillations between the gain and loss waveguides in the $\calPT$-symmetric phase can be deceiving in certain cases, where the transversepower transfer is in fact unidirectional. We also show that this power transfercannot be arbitrarily fast even when the exceptional point is approached.Finally, we go beyond the coupled-mode theory by using the paraxial waveequation and also extend our discussions to a $\cal PT$ diamond and aone-dimensional periodic lattice.

Optical fluxes in coupled $\cal PT$-symmetric photonic structures