Investigation of band-gap properties in one-dimensional ternary photonic crystals with a single defect layer

The transmittance spectra of one-dimensional photonic crystals (1-D PCs) with single defect in different location have been calculated. Defined the parameter N as the number of the layers located to the left of the single defect, set 13 as the number of the total layers of the 1-D PCs included the defect, during the course of the number of N increased from 0 to 12, as it upped to 3, there occurred defect band gap in the stop band gap, and when N upped to 12, the defect band gap disappeared; besides, the defect band gap is at frequencies between 0.3000~0.3090, most of them are at the frequencies around 0.3020. In addition, the transmittance has a turning point at the parameter N=7, that is to say, there has an approximate symmetry in transmittance when the parameter N increased from 3 to 11.

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Single Defect in Finite one Dimensional Photonic Crystals

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.614-615.1629 ◽

2012 ◽

Vol 614-615 ◽

pp. 1629-1632

Author(s):

Gang Xu ◽

Yun Sun

Keyword(s):

Photonic Crystals ◽

Transmission Coefficient ◽

Transfer Matrix Method ◽

Matrix Method ◽

Defect Mode ◽

Transmission Peak ◽

Reflection And Transmission ◽

One Dimensional ◽

Single Defect ◽

Reflection And Transmission Coefficient

Applying transfer matrix method, we get reflection and transmission coefficient of finite one dimensional photonic crystals. At the same time, we consider the position influence of single defect. We find the frequency of defect mode is same, but the height of transmission peak is not same when single defect is in different position of crystal. The transmission peak is maximum when the defect is in center of finite one dimensional photonic crystals.

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Effect of Double Defects on Transmission Spectra of One-Dimensional Photonic Crystals

Materials Science Forum ◽

10.4028/www.scientific.net/msf.663-665.725 ◽

2010 ◽

Vol 663-665 ◽

pp. 725-728 ◽

Cited By ~ 1

Author(s):

Yuan Ming Huang ◽

Qing Lan Ma ◽

Bao Gai Zhai ◽

Yun Gao Cai

Keyword(s):

Photonic Crystals ◽

Band Gap ◽

Theoretical Calculations ◽

Stop Band ◽

Band Gaps ◽

Characteristic Matrix ◽

Frequency Range ◽

Defect Band ◽

One Dimensional ◽

The One

Considered the model of the one-dimensional photonic crystals (1-D PCs) with double defects, the refractive indexes (n2’, n3’ and n2’’, n3’’) of the double defects were 2.0, 4.0 and 4.0, 2.0 respectively. With parameter n2=1.5, n3=2.5, by theoretical calculations with characteristic matrix method, the results shown that for a certain number (14 was taken) of layers of the 1-D PCs, when the double defects abutted, there was a defect band gap in the stop band gap, while when the double defects separated, there occurred two defect band gaps in the stop band gap; besides, with the separation of the two defects, the transmittance of the double defect band gaps decreased gradually. In addition, in this progress, the frequency range of the stop band gap has a little increase from 0.092 to 0.095.

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