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2006•Journal of Jiangsu Polytechnic UniversityRequires access

Band-Gap Structure of 1D Photonic Crystals Including Negative-Refractive-Index Media

Shi Du-fang

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Abstract

The authors proposed a new model of one-dimensional photonic crystal composed of alternately arranged RHM and LHM layers, calculated numerically the transmission spectra of the model with the transfer matrix method, and theoretically analyzed characteristics of the band-gap structure. The introduction of negative refractive index layers (i. e. LHM layers) gave rise to the peculiar band-gap structure as follows. Firstly the forbidden bands were extremely wide and the transmission bands were extremely sharp and without oscillations; secondly the forbidden band width tended to 2△e/e0=2 and it was very sensitive to change of the ratio of refractive indices and the number of periods.

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What this paper is about

The authors proposed a new model of one-dimensional photonic crystal composed of alternately arranged RHM and LHM layers, calculated numerically the transmission spectra of the model with the transfer matrix method, and theoretically analyzed characteristics of the band-gap structure. The introduction of negative refractive index layers (i. e. LHM layers) gave rise to the peculiar band-gap structure as follows. Firstly the forbidden bands were extremely wide and the transmission bands were extremely sharp and without oscillations; secondly the forbidden band width tended to 2△e/e0=2 and it was very sensitive to change of the ratio of refractive indices and the number of periods.

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Available abstract

The authors proposed a new model of one-dimensional photonic crystal composed of alternately arranged RHM and LHM layers, calculated numerically the transmission spectra of the model with the transfer matrix method, and theoretically analyzed characteristics of the band-gap structure. The introduction of negative refractive index layers (i. e. LHM layers) gave rise to the peculiar band-gap structure as follows. Firstly the forbidden bands were extremely wide and the transmission bands were extremely sharp and without oscillations; secondly the forbidden band width tended to 2△e/e0=2 and it was very sensitive to change of the ratio of refractive indices and the number of periods.

Key concepts: Photonic crystal, Refractive index, Transfer-matrix method (optics), Band gap, Optics, Transmission (telecommunications), Transfer matrix, Spectral line

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