Eigenmode Analysis of a Light-Guiding Metal Line Loaded on a Dielectric Substrate Using the Imaginary-Distance Beam-Propagation Method

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Fundamental characteristics of a light-guiding metalline are revealed and discussed through the eigenmode analysisusing the three-dimensional (3-D) imaginary-distance beam-propagationmethod (ID-BPM) based on the alternating-directionimplicit scheme. For the present ID-BPM, the multiplicationfactor of the eigenmode is derived and the paper described howthe present method works in the ID procedure. An efficient absorbingboundary condition is described, which is suitable forthe eigenmode analysis using the ID-BPM. After confirming theeffectiveness of the present method, the characteristics of thelight-guiding line composed of a metal (Au) with a finite widthand thickness on a substrate (SiO2) are investigated. Numericalresults for a metal thickness of 0.2 m show that the effectiveindex and the propagation loss decrease as the metal width isreduced. It is shown that not only the higher order modes but alsothe first mode has a cutoff metal width. Near the cutoff width, thepropagation loss of the first mode (～10 dB/mm at a wavelengthof 1.55 m) is less than those of the higher order modes. Finally, inorder to reduce the propagation loss, a dielectric core was addedunder the metal line.
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