Viewing Angle Dependent Transmittance Spectra of One-Dimensional Photonic Crystals

2010 ◽  
Vol 663-665 ◽  
pp. 729-732 ◽  
Author(s):  
Yuan Ming Huang ◽  
Bao Gai Zhai ◽  
Yun Gao Cai
Keyword(s):  
Photonic Crystals ◽  
Band Gap ◽  
Theoretical Calculations ◽  
Incident Angle ◽  
Stop Band ◽  
Characteristic Matrix ◽  
Transmittance Spectra ◽  
One Dimensional ◽  
Time Harmonic ◽  
The One

Characteristic matrix method was used to calculate the transmittance spectra of the one-dimensional photonic crystals (1-D PCs). By theoretical calculations, the transmittance spectra of time-harmonic electromagnetic wave in the 1-D PCs with various incident angles were derived. From the transmittance spectra, it shown that along with the incident angle increased from 0o to 85o, the frequency range of stop band gap also increased from 0.085 to 0.119 for the certain periodicity N=16 of the 1-D PCs. In addition, for a certain incident angle (in this letter, the incident angle 30o was used), the transmittance spectra for different periodicity (N=2, 4, 8 and 16 respectively) were also calculated, it demonstrated that different incident angles could influence the stop band gap range markedly, but on the transmittance was minimal.

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

2010 ◽  
Vol 663-665 ◽  
pp. 725-728 ◽  
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.

Terminal Length Dependent Transmission Spectra for One-Dimensional Photonic Crystals with a Centered Defect

2010 ◽  
Vol 663-665 ◽  
pp. 737-740 ◽  
Author(s):  
Yuan Ming Huang ◽  
Bao Gai Zhai ◽  
Yun Gao Cai ◽  
Qing Lan Ma
Keyword(s):  
Photonic Crystals ◽  
Band Gap ◽  
Stop Band ◽  
Characteristic Matrix ◽  
Frequency Range ◽  
Defect Band ◽  
Transmittance Spectra ◽  
One Dimensional ◽  
Number Of Layers ◽  
The One

The model of the one-dimensional photonic crystals (1-D PCs) with a centered defect with increasing number of layers was considered, and characteristic matrix method was used to calculate the transmittance spectra of the 1-D PCs. From the transmittance spectra, it shown that during the course of the number N of the layers of 1-D PCs’ one side symmetrical increased from 2 to 16, there occurred defect band gap in the stop band gap, when N upped to 16 , the defect band gap disappeared; besides, the defect band gap is at the frequencies around 0.30. In addition, in the progress of N increased from 3 to 16, the defect band gap reduced from the frequency range 0.0570 to 0.00, and the transmittance declined from 73.59% to 13.94% in the defect band gap.

Transmission Spectra of One-Dimensional Photonic Crystal with a Centered Defect

2010 ◽  
Vol 663-665 ◽  
pp. 733-736 ◽  
Author(s):  
Bao Gai Zhai ◽  
Yun Gao Cai ◽  
Yuan Ming Huang
Keyword(s):  
Photonic Crystal ◽  
Photonic Crystals ◽  
Band Gap ◽  
Stop Band ◽  
Characteristic Matrix ◽  
Transmission Spectra ◽  
Defect Band ◽  
Transmittance Spectra ◽  
One Dimensional ◽  
The One

In this letter, characteristic matrix method was used to calculate the transmittance spectra of the one-dimensional photonic crystals (1-DPCs) with single defects in the center. From altering the refractive indexes n2’ and n3’ respectively for the defect, the transmittance spectra were calculated. From them, it shown that for the certain numerical value n3’=5.0, during the course of n2’ increased from 1.1 to 3.5, when it upped to 2.0, there occurred defect band gap in the stop band gap, and the defect band gap is at frequencies between 0.24~0.30. Besides, for n2’ =2.0, when n3’ increased from 1.1 to 3.5, there also occurred defect band gap in the stop band gap, and the defect band gap is at frequencies between 0.26~0.32. In addition, in these two progresses, the transmittance increased firstly and then decreased in the defect band gap.

Calculated Transmittance Spectra of One-Dimensional Photonic Crystals

2010 ◽  
Vol 663-665 ◽  
pp. 709-712 ◽  
Author(s):  
Yuan Ming Huang ◽  
Qing Lan Ma ◽  
Yun Gao Cai
Keyword(s):  
Electromagnetic Wave ◽  
Photonic Crystals ◽  
Matrix Method ◽  
Dispersion Curves ◽  
Stratified Medium ◽  
Characteristic Matrix ◽  
Transmittance Spectra ◽  
One Dimensional ◽  
Time Harmonic ◽  
The One

The time-harmonic electromagnetic wave through the one-dimensional photonic crystals (1-D PCs) perpendicularly has been considered. By theoretical calculation with characteristic matrix method, the dispersion curves and the transmittance spectra were calculated. From the dispersion curves, it shown that the lowest band gap is at frequencies between 0.23~0.32, i.e. it is around 0.27. In addition, according to the transmittance spectra, it shown that the transmittance declined from 40.6% to 0 dramatically along with the periodicity N of the periodically stratified medium increased from 2 to 1024, it also exhibited that when the periodicity N was upped to 8, it could form 1-D PCs.

Transmission Spectra of One-Dimensional Photonic Crystals with Single Defect in Different Locations

2010 ◽  
Vol 663-665 ◽  
pp. 717-720 ◽  
Author(s):  
Bao Gai Zhai ◽  
Yun Gao Cai ◽  
Qing Lan Ma ◽  
Yuan Ming Huang
Keyword(s):  
Photonic Crystals ◽  
Band Gap ◽  
Turning Point ◽  
Stop Band ◽  
Approximate Symmetry ◽  
Transmission Spectra ◽  
Defect Band ◽  
Transmittance Spectra ◽  
One Dimensional ◽  
Single Defect

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.

Preparation and Optical Properties of One-Dimensional Ag/SiOx Photonic Crystal

2014 ◽  
Vol 576 ◽  
pp. 27-31
Author(s):  
Gai Mei Zhang ◽  
Can Wang ◽  
Yan Jun Guo ◽  
Wang Wei ◽  
Xiao Xiang Song
Keyword(s):  
Photonic Crystal ◽  
Band Gap ◽  
Electromagnetic Waves ◽  
Photonic Band Gap ◽  
Incident Angle ◽  
One Dimensional ◽  
The One ◽  
Photonic Band ◽  
Gap Width ◽  
Band Gap Width

The photonic crystal has the property that electromagnetic waves with interval of frequency in photonic band gap (PBG) can not be propagated, so it has important applying and researching value. The traditional one-dimensional photonic crystal is with narrow band gap width, and the reflection within the band is small, especially the band gap is sensitive to the incident angle and the polarization of light. A new photonic band gap (PBG) structure, metallodielectric photonic crystal by inserting metal film in the medium can overcomes the shortcomings mentioned above. The one-dimensional Ag/SiOx photonic crystal was prepared, and theoretical and experimental researches were developed. The results show that photonic band gap appears gradually and the band gap width increase with increasing of period of repeating thickness. With the thickness of Ag film increasing, the band gap width increases, but the starting wavelength of the photonic band gap keeps unchanged. With thickness of SiOx film increasing, the band gap width of photonic band gap also increases, but it is not obvious and starting wavelength increases.

Study on Linear Relationship between Refractive Index Difference and Band Gap Width of the 1-D PCs

2017 ◽  
Vol 872 ◽  
pp. 3-7 ◽  
Author(s):  
Yun Gao Cai ◽  
Ying Hong Dong
Keyword(s):  
Refractive Index ◽  
Band Gap ◽  
Linear Growth ◽  
Characteristic Matrix ◽  
One Dimensional ◽  
Refractive Index Difference ◽  
The One ◽  
Gap Width ◽  
Band Gap Width ◽  
Relationship Equation

Set the Refractive Indexes of the One-Dimensional Photonic Crystals (1-D Pcs) were n2 and n3, Keeping n2=1.5 Unchanged and Adjusting n3 in the Range of 2.5--3.5, the Dispersion Curves were Obtained through Characteristic Matrix Method (CMM). The Results Show that when n3 Increased from 2.5 to 3.5, the Band Gap Width Also Increased from about 0.086 to 0.140 Correspondingly. Furthermore, the Results Show that it’s a Linear Growth Process between the Refractive Index Difference and the Band Gap Width of the 1-D Pcs, for the First Propose Quantitatively, there is a Relationship Equation Δω=0.0537(Δn)+0.0336(Δn=n3-n2) Approximately.

DISORDERED ONE-DIMENSIONAL METALLIC-DIELECTRIC PHOTONIC CRYSTAL REFLECTOR

2009 ◽  
Vol 23 (05) ◽  
pp. 715-722
Author(s):  
LIMEI QI ◽  
ZIQIANG YANG ◽  
XI GAO
Keyword(s):  
Photonic Crystal ◽  
Photonic Crystals ◽  
Incident Angle ◽  
Stop Band ◽  
Frequency Dependent ◽  
One Dimensional ◽  
First Time ◽  
High Reflection

The reflected properties of one-dimensional frequency-dependent metallic-dielectric photonic crystals are investigated when disorders are introduced for the first time. It is demonstrated that disordered metallic-dielectric photonic crystal provides remarkably high reflection range compared with the corresponding period metallic-dielectric one when the degree of disorder is moderately chosen, and a wider stop band will be obtained with the increasing of periods. At last, the reflected properties influenced by incident angle for different polarizations are also calculated and discussed.

3-Dimensional Photonic Crystals at Optical Wavelengths

1998 ◽  
Vol 07 (02) ◽  
pp. 181-200 ◽  
Author(s):  
S. G. Romanov
Keyword(s):  
Photonic Crystals ◽  
Band Gap ◽  
Photonic Band Gap ◽  
Stop Band ◽  
High Refractive Index ◽  
3 Dimensional ◽  
Optical Wavelength ◽  
Photonic Band Gap Materials ◽  
Optical Wavelengths ◽  
Photonic Band

Different experimental strategies towards the 3-dimensional photonic crystals operating at optical wavelength are classified. The detailed discussion is devoted to the recent progress in photonic crystals fabricated by template method — the photonic band gap materials on the base of opal. The control of photonic properties of opal-based gratings is achieved through impregnating the opal with high refractive index semiconductors and dielectrics. Experimental study demonstrated the dependence of the stop band behaviour upon the type of impregnation (complete or partial) and showed a way for approaching complete photonic band gap. The photoluminescence from opal- semiconductor gratings revealed suppression of spontaneous emission in the gap region with following enhancement of the emission efficiency at the low-energy edge of the gap.

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