使用四阶龙格-库塔积分预估器（RK4IP）方法研究硫系玻璃As2Se3光子晶体光纤中的非线性脉冲传播。

Nonlinear pulse propagation in chalcogenide As2Se3 glass photonic crystal fiber using RK4IP method.

作者信息

Dabas Bhawana, Kaushal Jivesh, Rajput Monika, Sinha R K

机构信息

TIFAC-Centre of Relevance and Excellence in Fiber Optics and Optical Communication, Department of Applied Physics, Delhi Technological University, Bawana Road, Delhi-110042, India.

出版信息

Appl Opt. 2011 Oct 20;50(30):5803-11. doi: 10.1364/AO.50.005803.

DOI:10.1364/AO.50.005803

PMID:22015408

Abstract

Pulse propagation through chalcogenide As(2)Se(3) glass photonic crystal fiber (PCF) is numerically investigated using fourth-order Runge-Kutta in the interaction picture (RK4IP) method. The fully vectorial effective index method (FVEIM) is used to calculate the variation of effective refractive index, effective area, dispersion, and nonlinear coefficient (γ) in As(2)Se(3) PCF with wavelength for different values of pitch and air hole size. The RK4IP method is used to demonstrate the soliton propagation, self-phase modulation (SPM), soliton collision and cross phase modulation (XPM) in the designed As(2)Se(3) PCF. The numerically obtained value of soliton collision length (L(col)=51.3L(D)) using the RK4IP method is found to be in good agreement with the theoretical value of soliton collision length (L(col)=51.408L(D)) obtained from inverse scattering transform method, thus providing a verification of the RK4IP accuracy in solving generalized nonlinear schrödinger equation (GLNSE). We also evaluate and apply the value of wavelength for distortionless (L(NL)=L(D)) propagation of the soliton pulse.

摘要

利用相互作用绘景中的四阶龙格 - 库塔（RK4IP）方法，对脉冲在硫系As₂Se₃玻璃光子晶体光纤（PCF）中的传播进行了数值研究。采用全矢量有效折射率方法（FVEIM）计算了不同节距和气孔尺寸下，As₂Se₃光子晶体光纤中有效折射率、有效面积、色散和非线性系数（γ）随波长的变化。使用RK4IP方法展示了在设计的As₂Se₃光子晶体光纤中的孤子传播、自相位调制（SPM）、孤子碰撞和交叉相位调制（XPM）。发现使用RK4IP方法数值得到的孤子碰撞长度值（L(col)=51.3L(D)）与通过逆散射变换方法得到的孤子碰撞长度理论值（L(col)=51.408L(D)）吻合良好，从而验证了RK4IP在求解广义非线性薛定谔方程（GLNSE）时的准确性。我们还评估并应用了孤子脉冲无畸变传播（L(NL)=L(D)）时的波长值。