Abstract
Based on the established rigorous theory for two-dimensionally periodic (2DP) medium, Longitudinal propagation in Dielectric Waveguide Array (DWA) was analyzed in detail. Firstly, given longitudinal wave vector (k z), Brillouin dispersion relations between transversal wave vectors were analyzed. Interactions between space harmonics were also studied. Secondly, on condition that transversal wave vector k x equaled k y, dispersion relations between longitudinal and transversal wave vectors were analyzed in detail. Because of interactions between space harmonics increasingly getting stronger with k z or modulation coefficients increasing, stop-bands could be distinctly displayed and thus longitudinal propagation in DWA could be comprehensively analyzed. The applications about longitudinal propagation in DWA were also discussed.
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Tian, Js., Dong, Tl. Longitudinal Wave Propagation in Dielectric Waveguide Array. International Journal of Infrared and Millimeter Waves 25, 981–988 (2004). https://doi.org/10.1023/B:IJIM.0000030796.78669.c9
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DOI: https://doi.org/10.1023/B:IJIM.0000030796.78669.c9