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modulation instability analysis of Rossby waves based on(2+1)-dimensional high-order Schrodinger equation

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Communications in Theoretical Physics 2022年第7期74卷 9-20页

作者： Cong Wang Jingjing Li Hongwei Yang College of Mathematics and Systems Science Shandong University of Science and TechnologyQingdao 266590China

modulational instability is an important area of research with important practical and theoretical significance in fluid mechanics,optics,plasma physics,and military and communication *** this paper,using multiscale analysis and a perturbation expansion method,starting from the quasi-geostrophic potential vortex equation,a new(2+1)-dimensional highorder nonlinear Schrodinger equation describing Rossby waves in stratified fluids is *** on this equation,conditions for the occurrence of modulational instability of Rossby waves are ***,the effects of factors such as the dimension and order of the equation and the latitude at which Rossby waves occur on modulational instability are *** is found that the(2+1)-dimensional equation provides a good description of the modulational instability of Rossby waves on a *** high-order terms affect the modulational instability,and it is found that instability is more likely to occur at high latitudes.

关键词： (2+1)-dimensional high-order nonlinear Schrodinger equation modulation instability Rossby waves stratified fluids

Broadband tunable optical amplification based on modulation instability characteristic of high-birefringence photonic crystal fibers

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Chinese Physics B 2013年第7期22卷 226-231页

作者：王河林杨爱军冷雨欣 College of Science Zhejiang University of Technology State Key Laboratory of High Field Laser Physics Shanghai Institute of Optics and Fine MechanicsChinese Academy of Sciences

A novel high-birefringence photonic crystal fiber （HB-PCF） with two zero-dispersion wavelengths （ZDWs） is designed, and an extraordinarily high modal birefringence of 1.56×10-2 is obtained at pump wavelength λp=1850nm. With the designed HB-PCF, the effect of the pump parameters on the modulation instability （MI） in the anomalous dispersion region close to the second ZDWs of the HB-PCF is comprehensively studied in this work. A broadband and tunable optical amplification is achieved by controlling the pump power and the pump wavelength based on the combined operation of Raman effect and cross phase modulation. By optimizing the pump parameters, the amplification bandwidth along the fiber slow axis reaches 152 nm for the pump power Pp=280W and the pump wavelength λp=1675nm, while the gain bandwidth along the fiber fast axis is 165 nm for the pump power Pp=600W and the pump wavelength λp=1818nm.

关键词： modulation instability broadband amplification high-birefringence fiber

Pressure dependent modulation instability in photonic crystal fiber filled with argon gas

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Chinese Physics B 2018年第9期27卷 338-341页

作者： He-Lin Wang Ai-Jun Yang XiaoLong Wang Bin Wu Yi Ruan Center for Optics ＆ Optoelectronics Research Zhefiang University of TechnologyHangzhou 310023China College of Science Zhefiang University of TechnologyHangzhou 310023China

By using the designed photonic crystal fiber filled with argon gas, the effect of gas pressure on modulation instability（MI） gain is analyzed in detail. The MI gain bandwidth increases gradually as the argon gas pressure rises from 1 P0 to 400 P0（P0 is one standard atmosphere）, while its gain amplitude slightly decreases. Moreover, the increase of the incident light power also results in the increase of MI gain bandwidth in the Stokes or anti-Stokes region when the incident power increases from 1 W to 200 W. Making use of the optimal parameters including the higher argon gas pressure（400 P0） and the incident light power（200 W）, we finally obtain a 100 nm broadband MI gain. These results indicate that controlling the MI gain characteristic by changing the argon gas pressure in PCF is an effective way when the incident light source is not easy to satisfy the requirement of practical application. This method of controlling MI gain can be used in optical communication and laser shaping.

关键词： modulation instability gas pressure light power.broadband gain

Phase-matching analysis of four-wave mixing induced by modulation instability in a single-mode fiber

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Chinese Physics B 2012年第9期21卷 332-337页

作者：陈伟孟洲周会娟 Department of Optic Information Science and Technology College of Optoelectronic Science and EngineeringNational University of Defense Technology

Four-wave mixing induced by modulation instability in a single-mode fiber is analyzed from the phase-matching point of view. For the two-channel transmission, a method is proposed to select the four-wave-mixing-induced sidebands, which is based on the proper use of a continuous-wave and a pulse as light sources. We find that a mass of sidebands are generated in the modulation instability resonance region, and the power of the sideband increases with not only the peak power of the pump pulse but also the continuous-wave power which acts as a seed. The research will provide guidance for fiber communication and sensing systems using wavelength division multiplexing technology.

关键词： four-wave mixing modulation instability phase matching

modulation instability of quasi-plane-wave optical beams in biased photorefractive-photovoltaic crystals

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Chinese Physics B 2004年第12期13卷 2077-2081页

作者：卢克清赵卫杨延龙朱香平李金萍张彦鹏 StateKeyLaboratoryofTransientOpticsTechnology Xi'anInstituteofOpticsandPrecisionMechanicsChineseAcademyofSciencesXi'an710068China DepartmentofElectronicScienceandTechnology Xi'anJiaotongUniversityXi'an710049China

We investigate the modulation instability of quasi-plane-wave optical beams in biased photorefractive-photovoltaic crystals by globally treating the space-charge field. The modulation instability growth rate is obtained, which depends on the external bias field, on the bulk photovoltaic effect, and on the ratio of the optical beam's intensity to that of the dark irradiance. Our analysis indicates that this modulation instability growth rate is identical to the modulation instability growth rate studied previously in biased photorefractive-nonphotovoltaic crystals when the bulk photovoltaic effect is negligible for shorted circuits, and predicts the modulation instability growth rate in open- and closed-circuit photorefractive-photovoltaic crystals when the external bias field is absent.

关键词： optical spatial solitons modulation instability photorefractive effect

modulation instability of femtosecond pulses in fibres with slowly decreasing dispersion

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Chinese Physics B 2002年第1期11卷 39-43页

作者：徐文成张书敏等 InstituteofQuantumElectronics SouthChinaNormalUniversityGuangzhou510631China DepartmentofPhysics HebeiNormalUniversityShijiazhuang050091China

In this paper, we investigate the modulation instability for generating femtosecond pulses in fibres with slowlydecreasing dispersion. Higher-order dispersion and higher-order nonlinear effects are taken into account when thecontinuous wave or quasi-continuous wave evolves into sub-picosecond and femtosecond pulses by modulation instabilityin the optical fibres. Our research results show that the gain spectrum of the dispersion-decreasing fibres is much widerthat in conventional *** third-order dispersion effect has no contribution to gain spectrum, while thethanself-steepening effect reduces themaximum value and gain bandwidth, and the Raman self-scattering effect widens theextent to which the modulation instability occurs.

关键词： modulation instability ultrashort pulses generation fibres with slowly decreasing disper-sion third-order dispersion

Optical solitons and modulation instability analysis of the(1+1)-dimensional coupled nonlinear Schrodinger equation

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Communications in Theoretical Physics 2020年第2期72卷 17-22页

作者： Tukur Abdulkadir Sulaiman Hasan Bulut Firat University Faculty of ScienceElazigTurkey Federal University DutseFaculty of ScienceJigawaNigeria Final International University Faculty of EducationKyreniaCyprus

This study successfully reveals the dark,singular solitons,periodic wave and singular periodic wave solutions of the(1+1)-dimensional coupled nonlinear Schr?dinger equation by using the extended rational sine-cosine and rational sinh-cosh *** modulation instability analysis of the governing model is *** using the suitable values of the parameters involved,the 2-,3-dimensional and the contour graphs of some of the reported solutions are plotted.

关键词： the coupled nonlinear Schrodinger’s equation optical soliton modulation instability

modulation instability in Non Kerr-like Optical Fibers near the Zero Dispersion Point

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Chinese Journal of Lasers 2000年第1期 80-85页

作者： LIU Xiumin 1,2 ZHANG Xiaoguang LIN Ning 1,2 ZHANG Tao 1,2 YANG Bojun 1 ( 1 Department of Basic Science, 2 Department of Electronics Engineering, Beijing University of Posts and Telecommunications, Beijing 100876, China)

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关键词： modulation instability non Kerr like optical fiber zero dispersion point fourth order dispersion self steepening

Effects of walk-off on cross-phase modulation induced modulation instability in an optical fibre with high-order dispersion

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Chinese Physics B 2007年第6期16卷 1683-1688页

作者：钟先琼向安平 Department of Optoelectronic Technology Chengdu University of Information Technology Chengdu 610225 China

This paper investigates the effects of walk-off among optical pulses on cross-phase modulation induced modulation instability in the normal dispersion region of an optical fibre with high-order dispersion. The results indicate that, in the case of high-order dispersion, the walk-off effect takes on new characteristics and will influence considerably the shape, position and especially the number of the spectral regions of the gain spectra of modulation instability. Not only the group-velocity mismatch, but also the difference of the third-order dispersion of two optical waves will alter the gain spectra of modulation instability but in different ways. Depending on the values of the walk-off parameters, the number of the spectral regions may increase from two to at most four, and the spectral shape and position may change too.

关键词： modulation instability cross-phase modulation walk-off effect the difference ofthe third-order dispersion