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Conventional analyses on dispersion tend to concentrate on the derivation and validation of closed-form solution, which is localized, viz. without an effective analysis pattern to uncover the full picture about dispersion space. This work shall provide a systematic treatment towards the panorama of dispersion space with the assistance of neural network. A thorough analysis pattern is presented to fully explore the dispersion space and gain some insight into it on the basis of several characterizations and rational-constrained analytic domain. The full picture of dispersion space and corresponding dispersion-manipulation capability are disclosed in this manner. The analysis pattern is of generality since the steps involved shall be easily transplanted to other periodic structures.

Characterization of dispersion-manipulation capability of periodic structure