Abstract

In this work, we investigate the possibility to realize a Y-shaped demultiplexer based on asymmetric loop photonic waveguides. This demultiplexer contains one input line and two output lines (two transmission channels). These two output channels are grafted at the same position with the input line. This system creates the Fano resonances, which are very sensitive to the length of each waveguide of asymmetric loops in the proposed structure. These Fano resonances are characterized by a specific profile in the transmission spectrum. We base on the theory of interface response in a continuous medium, which allows us to calculate the Green function of any composite material. The Green function allows us to determine the transmission rates $${T}_{1}$$ and $${T}_{2}$$ through the two channels and the reflection rate R through the input line. This system can be used as an electromagnetic waveguides, demultiplexer, and filter of two frequencies in each channel with high performance.

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