Abstract
We theoretically investigate waveguide power splitters with parallel output ports by the time-domain coupled-mode theory. Conditions for perfect transmission and zero reflection are obtained that are different from the idea of a structure with a perfect T-type branch and two perfect bends. Using theoretical analysis, waveguide power splitters in two-dimensional square-lattice photonic crystals are modeled and optimized. Their transmission properties are simulated by using the finite-difference time-domain method, and an excellent agreement has been found with the present analysis.
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