scholarly journals Mathematical Approximation for Modeling the Photonic Crystal Fibers

2019 ◽  
Vol 29 (4) ◽  
pp. 117
Author(s):  
Mashaan Attalla Mahmood
Keyword(s):  
Refractive Index ◽  
Velocity Dispersion ◽  
Group Velocity Dispersion ◽  
Photonic Crystal Fibers ◽  
Nonlinear Coefficient ◽  
Effective Area ◽  
Successful Program ◽  
Mathematical Approximation ◽  
Crystal Fibers ◽  
Good Agreement

In this research a mathematical approximation for modeling a PCFs is derived. The effective refractive index neff of the clad region obtained by this relation will be used to study the properties of the PCFs such as normalized frequency, effective area, group velocity dispersion and the nonlinear coefficient. All these properties are studied when the holes of the PCFs are filled with air ,or with any material like chloroform. The merit of our mathematical approximation is that, neff can be easily and directly calculated, then the dispersion profile can be controlled by fine manipulating the (d/Λ) of circular or elliptical air holes in PCF cladding. The results show good agreement with published works. The MATLAB 2010 program is used in this study, which is the most successful program to get appropriate diagrams and results

All-optical control of group velocity dispersion in tellurite photonic crystal fibers

2012 ◽  
Vol 37 (24) ◽  
pp. 5124 ◽  
Author(s):  
Lai Liu ◽  
Qijun Tian ◽  
Meisong Liao ◽  
Dan Zhao ◽  
Guanshi Qin ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Group Velocity ◽  
Velocity Dispersion ◽  
Group Velocity Dispersion ◽  
Photonic Crystal Fibers ◽  
Optical Control ◽  
All Optical ◽  
Crystal Fibers

TRANSFORM-LIMITED SPECTRAL COMPRESSION BY USING NEGATIVELY CHIRPED PARABOLIC PULSE IN ALL-NORMAL DISPERSION PHOTONIC CRYSTAL FIBERS

2012 ◽  
Vol 21 (03) ◽  
pp. 1250040 ◽  
Author(s):  
CHUNFU CHENG ◽  
YOUQING WANG ◽  
YIWEN OU ◽  
QINGHUA LV
Keyword(s):  
Photonic Crystal ◽  
Phase Modulation ◽  
Velocity Dispersion ◽  
Group Velocity Dispersion ◽  
Photonic Crystal Fibers ◽  
Nonlinear Propagation ◽  
Normal Dispersion ◽  
Spectral Compression ◽  
Crystal Fibers ◽  
Compression Condition

A theoretical investigation on the parabolic pulse nonlinear propagation and spectral compression in all-normal dispersion photonic crystal fibers (PCFs) is presented. It is found that use of larger chirp can obtain higher quality transform-limited spectrally compressed parabolic pulses due to almost purely the effects of self-phase modulation (SPM) — because of its all-normal dispersion with smaller group velocity dispersion (GVD). Also, use of long initial negatively chirped parabolic pulses can lead to the most efficient transform-limited spectral compression under the optimal compression condition.

Group-velocity dispersion in photonic crystal fibers

1998 ◽  
Vol 23 (21) ◽  
pp. 1662 ◽  
Author(s):  
D. Mogilevtsev ◽  
T. A. Birks ◽  
P. St. J. Russell
Keyword(s):  
Photonic Crystal ◽  
Group Velocity ◽  
Velocity Dispersion ◽  
Group Velocity Dispersion ◽  
Photonic Crystal Fibers ◽  
Crystal Fibers

Mathematical Model Analysis of Dispersion and Loss in Photonic Crystal Fibers

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
IS Amiri ◽  
P. Yupapin ◽  
Ahmed Nabih Zaki Rashed
Keyword(s):  
Refractive Index ◽  
Photonic Crystal ◽  
Cross Section ◽  
Photonic Crystal Fibers ◽  
Effective Cross Section ◽  
Confinement Loss ◽  
Cross Section Area ◽  
Section Area ◽  
Crystal Fibers ◽  
Analysis Of Dispersion

AbstractThis study has deeply investigated the basic equations analysis of dispersion and loss in photonic crystal fibers (PCF) within the operating wavelengths of 850, 1,300, and 1,550 nm. The confinement loss, effective refractive index, and effective cross-section area of PCF are also studied. The variations of total dispersion and losses against hole diameter and distance between holes variations in PCF are clarified. Confinement loss, effective refractive index, and effective cross-section area variations for PCF are sketches with the variations of the operating wavelength.

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