Realization of Negative Permeability in Vertical Double Split-Ring Resonators with Normal Incidence

Hao Yuan Tsai, Che Chin Chen, Tse An Chen, Din Ping Tsai, Takuo Tanaka, Ta Jen Yen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


With the rapid development of optoelectronics, methods for manipulating light-matter interactions are urgently required. In this work, three-dimensional double split-ring resonators (3D-DSRRs) have been designed via a metal-stress-driven self-folding method. The 3D-DSRRs eliminate the electric response from the meta-atoms and exhibit a magnetic dipole moment radiation power that is 1244.6-fold greater than that of two-dimensional metamaterials. By tailoring of the 3D-DSRR periodicity, the permeability is shown to vary from positive to zero, even reaching negative values under normal incidence. This strain engineering strategy provides an efficient method for designing and fabricating three-dimensional metamaterials and for increasing the variety of light-matter interactions in the mid-infrared region.

Original languageEnglish
Pages (from-to)3298-3304
Number of pages7
JournalACS Photonics
Issue number12
Publication statusPublished - 16 Dec 2020


  • infrared radiation
  • light-matter interactions
  • negative permeability
  • ring resonators
  • three-dimensional metamaterials

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Biotechnology
  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering


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