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Search Results: 1 - 10 of 36930 matches for " Peiguang Yan "
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Design of Seven-core Photonic Crystal Fiber with Flat In-phase Mode for Yb: Fiber Laser Pumping  [PDF]
Ruijuan Dong, Peiguang Yan, Gelin Zhang, Huiquan Li, Shuangchen Ruan, Huifeng Wei, Jie Luo
Optics and Photonics Journal (OPJ) , 2013, DOI: 10.4236/opj.2013.32B047
Abstract:

We numerically investigate the seven-core photonic crystal fiber (PCF) with the zero dispersion wavelength designed in the range of 1000 - 1080 nm, particularly suitable for the ytterbium-doped fiber laser pumping. Also, the PCFs are well designed for obtaining a flat in-phase mode by carefully adjusting the diameter of inner layer six holes, and the corresponding empirical values of fiber structure are summarized and listed. The variations of inner six holes to the amplitude of in-phase mode are further investigated, and our results show that a better tolerance can be achieved in the fiber structures with lower filling ratio configuration.

Double Cladding Seven-core Photonic Crystal Fiber  [PDF]
Gelin Zhang, Fengfei Xing, Peiguang Yan, Huifeng Wei, Huiquan Li, Shisheng Huang, Rongyong Lin, Kangkang Chen
Optics and Photonics Journal (OPJ) , 2013, DOI: 10.4236/opj.2013.32B011
Abstract:

A double cladding seven-core PCF was presented for high power supercontinuum generation. The calculated zero dispersion wavelength is located at 912 nm, which has a good agreement with the measurement. The attenuation is measured 6 dB/km at 1590 nm and lower than 14.5 dB/km at 1060 nm, the water-loss peak at 1380 nm is about 134 dB/km; Supercontinuum spanning over more than 1500 nm was generated when the designed seven-core PCF was pumped by a gain-switching Yetterbium-doped fiber laser. These results will be helpful in the future design of multicore photonic crystal fibers (MCPCF) with proper guidance properties for high power supercontinuum generation.

Monotone Iterative Technique for Partial Dynamic Equations of First Order on Time Scales
Peiguang Wang,Ping Li
Discrete Dynamics in Nature and Society , 2008, DOI: 10.1155/2008/265609
Abstract: This work is concerned with the monotone iterative technique for partial dynamic equations of first order on time scales and for this purpose, the existence, uniqueness, and comparison results are also established.
On an even order neutral differential inequality
Peiguang Wang,Lokenath Debnath
International Journal of Stochastic Analysis , 2003, DOI: 10.1155/s1048953303000200
Abstract: In this paper, we prove new results related to the nonexistence criteria for eventually positive solutions of certain even order neutral differential inequality with distributed deviating arguments.
Further results on differential inequality of a class of second order neutral type
Peiguang Wang,Yonghong Wu
Tamkang Journal of Mathematics , 2004, DOI: 10.5556/j.tkjm.35.2004.43-52
Abstract: In this paper, we develop several new results related to the nonexistence criteria for eventually positive solutions of a class of second order neutral differential inequalities with distributed deviating arguments. The work generalizes various existing result.
-Stability of Linear Matrix Differential Systems
Peiguang Wang,Xiaowei Liu
Abstract and Applied Analysis , 2013, DOI: 10.1155/2013/781983
Abstract:
Oscillation of solutions for systems of hyperbolic equations of neutral type
Peiguang Wang,Yonghong Wu
Electronic Journal of Differential Equations , 2004,
Abstract: In this paper, we obtain sufficient conditions for the oscillation of solutions to systems of hyperbolic differential equations of neutral type. We consider such systems subject to two kinds of boundary conditions.
On the $phi_0$-stability of impulsive dynamic system on time scales
Peiguang Wang,Meng Wu
Electronic Journal of Differential Equations , 2005,
Abstract: This paper concerns impulsive dynamic system on time scales. We obtain sufficient conditions of the $phi_0$-stability for such systems by employing cone-valued Lyapunov functions.
Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System
Peiguang Wang,Tiantian Kong
Abstract and Applied Analysis , 2013, DOI: 10.1155/2013/308413
Abstract: We study the boundary value problems of second-order singular differential equations. At first, we reduce the BVPs to initial value problems of first-order singular integrodifferential equations and then we employ the quasilinearization method in studying the IVPs and obtain two monotone iterative sequences, which converge uniformly and quadratically to the unique solution of the IVPs. Finally, we get the similar result for the given BVPs. 1. Introduction It is well known that quasilinearization method is a powerful tool for proving the existence of approximate solutions of nonlinear systems and the converge quadratically to the unique solution of the given problems (see [1]). Recently, Abd-Ellateef Kamar et al. investigated the first-order singular systems of differential equations with initial value problem [2]. In [3], Wang and Liu developed monotone iterative technique combined with the method of upper and lower solutions for studying the second-order singular systems with boundary value problems (BVPs). In this paper, we extend quasilinearization method to study the second-order singular systems with the boundary conditions: where is a singular matrix, , , and and are two constant vectors. By using the existence result [4] for linear singular systems and the comparison result [5], we investigate two monotone iterative sequences which converge uniformly and quadratically to the solution of the problem. 2. Preliminaries Consider the following initial value problem: where is a singular matrix, , , is an increasing operator, and is a constant vector. In order to obtain two monotone sequences, we introduce an existence result for the corresponding linear singular systems and a comparison result. The existence of the solution of the linear initial value problem of the form is well known and is given by the following lemma. Lemma 1 (see [4]). Assume that the nonhomogeneous linear system (3) exists and if(i)there exists a such that exists,(ii) is the solution of?? , where and are the Drazin inverses of , respectively, then the solution is given by Now one gives the following assumptions for convenience. Let and be matrices such that exists and is nonnegative for some . Suppose further that exist and are nonnegative, such that where , , and is a diagonal square matrix with and . There exist with on , such that All second-order derivatives of exist and are bounded, is convex in for each , is convex in for each , is nonincreasing in for each , and is nonincreasing in for each . Moreover . To obtain the results, one needs the following comparison theorem.
Supercontinuum Generation in Photonic Crystal Fiber Pumped by Femtosecond Pulses
飞秒脉冲作用下光子晶体光纤超连续谱的产生

Yan Peiguang,Ruan Shuangchen,Du Chenlin,L&#,Kecheng,
闫培光
,阮双琛,杜晨林,吕可诚

光子学报 , 2003,
Abstract: More than 550 nm supercontinuum is generated in a 2m long photonic crystal fiber by use of an ultrafast femtosecond Ti sapphire laser as the pump source. Analysis indicates that the intrapulse Raman scattering effect and the soliton self shift are the most important mechanism for the broaden of the spectrum at the long wavelength direction at the beginning, the new generated frequences play an important role for the supercontinuum generation.
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