Dispersion characteristics of SOI-based slot optical waveguides

The invention of the slot waveguide had enabled a number of interesting novel linear or nonlinear optical applications by guiding light in nanometers-wide low index slots guarded by high-index slabs. As one of its key characteristics, the low modal index for this kind of waveguides has been demonstrated by many studies. However, their higher order dispersion properties have not been thoroughly investigated yet, while the growing size and complexity of these devices and their potential nonlinear optical applications involving short optical pulses demand further understanding in their dispersion behavior. We here carry out a numerical study on the higher order dispersion characteristics of the SOI-based slot structures around the 1550 nm wavelength. Our results show that they could have significantly different second order dispersion properties in contrast to the traditional channel SOI waveguides. Their potentially large normal dispersion could have an impact on various nonlinear or linear applications. The relationship between the dispersion performance and the waveguide design is also investigated, and the results could show further venues to optimize or control the dispersion properties of such waveguides.     

色散渐减光纤中超连续谱产生的数值模拟及优化

从脉冲在光纤中传输所遵循的广义非线性薛定谔方程出发,通过数值模拟对色散渐减光纤产生超连续谱(SC)进行了研究.结果表明:色散渐减光纤的色散斜率k、色散参量D0、参量L0和R及脉冲的峰值功率、脉冲宽度对SC谱的产生有着极其重要影响|在色散渐减光纤产生超连续谱的过程中,三、四阶群速度色散甚至更高阶群速度色散对超连续谱的影响完全可以忽略,但高阶非线性效应对SC谱的产生影响很小|计算表明对光纤和脉冲的各参量进行优化选择后,可以获得宽而平坦的超连续谱.     

Numerical computation of the nonlinear Schrödinger equation with higher order group velocity dispersion and frequency-dependent gain using the differential method

Optical Review - The response of light in a nonlinear dispersive medium is governed by the nonlinear Schrödinger equation (NLSE). In general, for higher order group velocity dispersion (GVD)...     

On the steady-state structure of shock waves in elastic media and dielectrics

A simplified system of equations describing small-amplitude nonlinear quasi-transverse waves in an elastic weakly anisotropic medium with complicated dissipation and dispersion is considered. A simplified system of equations derived for describing the propagation and evolution of one-dimensional weakly nonlinear electromagnetic waves in a weakly anisotropic dielectric is found to be of the same type as the system of equations for quasi-transverse waves in an elastic medium. The steady-state structure of small-amplitude quasi-transverse discontinuities and a large number of admissible discontinuity types is studied using this system of equations. Viscous dissipation is traditionally assumed to be described in terms of the next differentiation order as compared to those constituting the hyperbolic system describing long waves, while the terms responsible for dispersion have an even higher differentiation order.     

非线性Jaynes-Cummings模型中原子偶极矩的高阶压缩

研究了非线性双光子Jaynes-Cummings(J-C)模型系统中原子偶极矩高阶压缩的时间演化特性及其产生条件。结果表明,在弱场条件下,原子偶极矩色散或吸收分量的二阶和六阶量子涨落可被周期性压缩,非线性修正项或失谐量以及热噪声对压缩程度有显著的影响。     

高阶非线性效应对飞秒脉冲激光器的影响

本文以分段计算法用高阶非线性薛定谔方程讨论了激光器的传输过程,考虑了有三阶色散、高阶非线性效应-自陡峭效应存在时,激光器中飞秒脉冲的传输特性,给出了棱镜对的分离距离与激光器脉宽的关系,并用数值计算法模拟了脉冲在激光器中的传输过程.     

Soliton models in resonant and nonresonant optical fibers

In this review, considering the important linear and nonlinear optical effects like group velocity dispersion, higher order dispersion, Kerr nonlinearity, self-steepening, stimulated Raman scattering, birefringence, self-induced transparency and various inhomogeneous effects in fibers, the completely integrable concept and bright, dark and self-induced transparency soliton models in nonlinear fiber optics are discussed. Considering the above important optical effects, the different completely integrable soliton models in the form of nonlinear Schrödinger (NLS), NLS-Maxwell-Bloch (MB) type equations reported in the literature are discussed. Finally, solitons in stimulated Raman scattering (SRS) system is briefly discussed.     

Explicit,periodic and dispersive optical soliton solutions to the generalized nonlinear Schrödinger dynamical equation with higher order dispersion and cubic-quintic nonlinear terms

In this article, the nonlinear Schrödinger equation with higher order dispersion and nonlinear terms have been discussed analytically using extended Fan sub-equation method. The results hold numerous traveling wave solutions like optical, bright, dark, explicit, periodic and combined wave solutions with the aid of five parameters that are of key importance in elucidating some physical circumstance.     

高阶孤子在光纤中传输的数值研究

通过数值求解非线性薛定谔方程,得到了二阶和三阶孤子的传输特性,并和一阶孤子做了比较.对于二阶孤子和三阶孤子间的相互作用做了分析,讨论了三阶色散对高阶孤子相互作用的影响,得出随着三阶色散的增大,会使孤子的衰变具有新的特性,将会导致光孤子通信的误码率加大.     

Periodic Waves of a Discrete Higher Order Nonlinear SchrSdinger Equation

The Hirota equation is a higher order extension of the nonlinear Schr6dinger equation by incorporating third order dispersion and one form of self steepening effect, New periodic waves for the discrete Hirota equation are given in terms of elliptic functions. The continuum limit converges to the analogous result for the continuous Hirota equation, while the long wave limit of these discrete periodic patterns reproduces the known resulr of the integrable Ablowitz-Ladik system.     

Generation of light in media with a random distribution of nonlinear domains

We show that the second order nonlinear generation of light, a process that it is assumed to require highly ordered materials, is also possible in structures of randomly oriented nonlinear domains. We explain theoretically why in such disordered structures the efficiency of the nonlinear generation of light grows linearly with the number of domains. Moreover, a higher degree of disorder, obtained when the dispersion is made very large, has no negative effect for the nonlinear light generation. In such conditions, light generation is shown to be equally efficient for any average size of the domains and also to grow linearly with respect to the number of domains.     

Design of zero dispersive double clad fiber for high efficiency operation of two color light

A double clad solid silica fiber is newly designed for applications which need the high efficiency operation of two colors of light. Ultrashort pulses with a central wavelength of 800?nm are delivered by the core of the double clad fiber which can realize the transmission of the optical pulses with a net chromatic dispersion of zero. This is achieved by integrating the double clad fiber with a pair of long period gratings, which allows optical pulses to propagate in a higher order mode (LP₀₂) in the middle of the fiber as well as in a fundamental mode (LP₀₁) at the beginning and end of the fiber. The index profile of the double clad fiber is engineered so that the higher order mode has high anomalous dispersion that can be used to compensate for normal dispersion of the fundamental mode. By controlling the lengths of the fiber where pulses are in a fundamental and in a higher order modes, the fiber with total zero dispersion can be realized. The double clad fiber can collect 100?% of visible light within the numerical aperture of 0.21 with a loss of the optical pulses less than 1?%. The design of this fiber is essential for applications including fiber-optic nonlinear imaging for compactness, robustness, and low optical power loss in dispersion compensation.     

Composite‐Assisted Phase‐Matching: Efficient Wavelength Conversion in Nonlinear Optical Composite Materials Containing Metal Nanoparticles

A novel phase‐matching scheme which is based on the dispersion compensation in the nonlinear optical composite materials containing metal nanoparticles is proposed. Anomalous dispersion originating from the plasmon resonance in metal nanoparticles compensates the dispersion of the host nonlinear material, leading to the perfect phase‐matching and high efficiency of nonlinear optical wavelength conversion. The effectiveness of this approach is theoretically demonstrated, taking third‐order nonlinear processes such as the direct third‐harmonic generation and four‐wave mixing in ZnO composites containing silica‐core–silver‐shell nanoparticles as examples. The results show that with the proposed phase‐matching scheme, unprecedentedly high conversion efficiency can be obtained compared with preceding results in third‐order nonlinear optical solid‐state materials.     

高非线性光纤正常色散区产生超连续谱的数值研究

基于广义非线性薛定谔方程,通过数值计算对高非线性光纤正常色散区产生超连续谱进行了研究.结果表明,抽运脉冲的峰值功率、脉冲宽度以及脉冲初始啁啾对该光纤正常色散区超连续谱的形成有极其重要的影响;在高非线性光纤正常色散区产生超连续谱的过程中,三、四阶群速度色散甚至更高阶群速度色散对超连续谱的影响完全可以忽略,但与其他高非线性效应相比,自陡峭效应对超连续谱产生的影响更为明显.高功率超短光脉冲在高非线性光纤正常色散区,得到了没有泵浦成份残余、－20 dB谱宽达400 nm以上而频谱强度起伏小于10 dB的超宽而平坦超连续谱.     

Nonlinear waves in media with fifth order dispersion

Nonlinear waves described of the fifth order dispersive nonlinear evolution equation are numerically investigated. The numerical method for boundary value problem for this equation is proposed. Exact solutions to nonlinear evolution equation of the fifth order are given. The numerical method was tested using some exact solutions. The influence of the fifth order dispersion on the propagation of nonlinear waves and formation of the periodic structures is studied.     

Generation of Bragg solitons through modulation instability in a Bragg grating structure

In this article, we consider the continuous wave (cw) propagation through the nonlinear periodic structure that consists of alternating layers of both positive and negative Kerr coefficients along the propagation direction. We investigate the modulational instability (MI) conditions required for the generation of ultrashort pulses for the nonlinearity management system. We study the occurrence of MI at the top and bottom edges of the photonic band gap (PBG) where the forward and backward propagating waves are strongly coupled because of the presence of the grating structure. We also study the MI when cw is detuned from the edges of the PBG into the anomalous and normal dispersion regimes. In addition, we discuss the existence of gap solitons for the nonlinearity management system in the upper and lower branches of the dispersion curve through the MI gain spectra. We observe the generation of higher order solitons in the nonlinear periodic structure when the input power is increased beyond a certain critical level. Finally, we discuss the generation of higher order Bragg grating solitons through the intensity evolution of the forward and backward propagating fields.     

强双折射光纤中超短光脉冲压缩效应研究

研究了强双折射光纤中沿偏振主轴入射的超短光脉冲压缩效应。当考虑三阶色散效应时，三阶色散与光纤非线相互作用能增强一偏振光脉冲的压缩而抑制另一偏振光脉冲的压缩。正三阶和的强慢孤子压缩，负三阶色散增强快孤子压缩，三阶色散参量越大，脉冲压缩效果越明显。     

Analysis of intensity modulation performance in WDM-PON network

This paper mainly does research and analysis on anti-dispersive performance and anti-nonlinear performance for intensity modulation formats such as NRZ, RZ, CS-RZ, DRZ, MD-RZ in 40 Gbps high-speed single-channel optical transmission system. It compares the five pattern modulation formats in dispersion tolerance, nonlinear tolerance, and advantages and disadvantages in transmission distance. Anti-nonlinear effect ability of CSRZ and RZ are stronger than that of NRZ code; in the single-channel transmission system, DRZ and improved modulation format MDRZ have better resistance for anti-nonlinear performance, so they are suitable for long-distance transmission. RZ has the minimum dispersion tolerance. NRZ has higher spectrum efficiency than RZ, and thus have a better dispersion tolerance. CSRZ code has higher spectral efficiency, higher dispersion tolerance and nonlinear tolerance than RZ code, making it more suitable for long distance transmission.     

Adjustable enhancement of higher order soliton effect pulse compression by using optimized active dispersion decreased nonlinear fiber loop mirror

In this paper, four common dispersion profiles have been investigated for obtaining as high as possible wings free compressed pulse in nonlinear fiber loop mirror. Results show that linear profile can be considered as the best choice. Also, as the importance for enhanced adjustability of higher order soliton effect pulse compression, we propose a new simple method, as active fiber loop. According to our investigation it can be seen that when the amplification factor changes from 3 dB to 4 dB in an active linear profile dispersion decreased fiber loop mirror, the compression factor can be adjusted to any desired value between 140 and 170 where it is approximately two times higher than passive loop.