Analysis of the contributions of magnetic susceptibility to effective refractive indices of photonic crystals at long-wavelength limits

Shieh-Yueh Yang

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Since the magnetic susceptibility of materials is significant for low-wavelength regions, we investigated magnetic effects on refractive indices for long-wavelength electromagnetic waves propagating in photonic crystals (PCs). The PCs consisted of triangularly arrayed long rods, and were made of either dielectric or magnetic material, with air as the interstitial medium. According to calculated photonic band structures, the magnetism of rods plays a role in TM modes. Instead of using complicated calculating processes for band structures to find long-wavelength refractive indices, an analytic method was developed to estimate the effective refractive indices of long-wavelength TM modes. The refractive indices obtained through the band structures and the analytic method were consistent with each other. This demonstrates the validity of the analytic method, which we used to further clarify the physical mechanism involving the effects of rod magnetism on the refractive indices of long-wavelength TM modes propagating along magnetic PCs.

Original languageEnglish
Pages (from-to)2669-2676
Number of pages8
JournalOptics Express
Volume15
Issue number5
DOIs
Publication statusPublished - 2007 Mar 5

Fingerprint

photonics
refractivity
magnetic permeability
wavelengths
rods
crystals
magnetic effects
magnetic materials
electromagnetic radiation
interstitials
air
estimates

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Analysis of the contributions of magnetic susceptibility to effective refractive indices of photonic crystals at long-wavelength limits. / Yang, Shieh-Yueh.

In: Optics Express, Vol. 15, No. 5, 05.03.2007, p. 2669-2676.

Research output: Contribution to journalArticle

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