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(a) Projected band-structure, where the shadow regions are for YIG PC (, , , and ) and cladding alumina PC ( and ), respectively. The solid curve corresponds to the edge modes of upper and left boundaries, the dashed curve corresponds to lower and right boundaries. The numbers represent the nonzero Chern numbers. (b) Totally upside propagation by only left source at frequency 0.535 in one-way cross-waveguide splitter. (c) 50% splitter by inserting a rod with and at the center. The arrows represent the direction of energy flow.
Transmission at lower port. (a) Various frequency excited by left source without using the central rod, where coupled-mode theory (open circles) agree well with simulation (solid line). (b) Various radius of central rod with at frequency 0.535. (c) Various refractive index of central rod with at frequency 0.535. The inset pictures represent time average energy flow, where bright color represents large energy flow.
One-way waveguides of time average energy flow with different directions of external magnetic field. Solid (dashed) line represents the one-way direction for second gap (third gap, respectively), and , − means the counter directions of external magnetic field along z-axis.
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