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Exceptional degeneracy in a waveguide periodically loaded with discrete gain and radiation loss elements

Exceptional degeneracy in a waveguide periodically loaded with discrete gain and radiation loss elements

We demonstrate that a periodic waveguide comprising of uniform lossless segments together with discrete gain and radiating elements supports exceptional points of degeneracy (EPDs). We provide analytical expressions for all possible conditions that guarantee the occurrence of an EPD, i.e., the coalescence of eigenvalues and eigenvectors. We show that EPDs …