Antiresonant decoupling of parallel dielectric waveguides.
Two open waveguides with finite spacing can be decoupled, if the index between them is a suitable function of the transverse coordinates. An analytical proof is provided that makes use of vector properties of electromagnetic waves. On the contrary, decoupling is shown to be impossible for scalar waves and thus incompatible with the weakly guiding assumption. Decoupling can be interpreted as a distributed antiresonance in the region between the waveguides.
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