Permittivity signifies a key component to metamaterial which can achieve negative index of refraction, but it has not been sufficiently addressed in computational design. This paper aims to attain negative permittivity through a topology optimization approach and provides an example equivalent to electric inductive-capacitive resonator. Similar to split ring resonator, this locally self-contained (without the demand for inter-cell connection) resonator allows keeping bulk electromagnetic properties homogeneously, facilitating mass fabrication, and realizing single sampling test.
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