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- W2079928172 abstract "Most current methods for the engineering of photonic crystal (PhC) cavities rely on cumbersome, computationally demanding trial-and-error procedures. In the present work, we take a different approach to the problem of cavity design, by seeking to establish a direct, semianalytic relationship between the target electromagnetic field distribution and the dielectric constant of the PhC structure supporting it. We find that such a relationship can be derived by expanding the modes of ${L}_{N}$-type cavities as a linear combination of the one-dimensional (1D) Bloch eigenmodes of a PhC W1 waveguide. Thanks to this expansion, we can also ascertain the presence of a well-defined 1D character in the modes of relatively short cavities (e.g., ${L}_{9--15}$), thus confirming recent theoretical predictions and experimental findings. Finally, we test our method through the successful design of a cavity supporting a mode with Gaussian envelope function and ultralow radiative losses (quality factor of $17.5ifmmodetimeselsetexttimesfi{}{10}^{6}$)." @default.
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- W2079928172 date "2010-09-20" @default.
- W2079928172 modified "2023-10-03" @default.
- W2079928172 title "Semianalytical approach to the design of photonic crystal cavities" @default.
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- W2079928172 doi "https://doi.org/10.1103/physrevb.82.115118" @default.
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