Lie Symmetry Reductions and Analytic Solutions for the AB System in a Nonlinear Optical Fiber

2019 ◽  
Vol 14 (11) ◽  
Author(s):  
Song-Hua Hu ◽  
Bo Tian ◽  
Xia-Xia Du ◽  
Zhong Du ◽  
Xiao-Yu Wu
Keyword(s):  
Optical Fiber ◽  
Optical Fibers ◽  
Optical Communication ◽  
Nonlinear Optical ◽  
Occupation Number ◽  
Analytic Solutions ◽  
Lie Symmetry ◽  
Atomic Inversion ◽  
Short Pulses ◽  
Symmetry Reductions

Abstract In the optical communication, people use the optical fibers to achieve the high bit-rate data transmission. In this paper, the AB system for the ultra-short pulses in a nonlinear optical fiber is investigated via the Lie symmetry analysis. Lie symmetries and symmetry reductions are derived via the Lie algorithm. Periodic- and solitary-wave solutions are obtained via the qualitative consideration. For the magnitude of the electric field in the optical fiber and the function associated with the occupation number which gives a measure of the atomic inversion in the nonlinear optical fiber, we can adjust the amplitudes, widths, and velocities of the solitary waves via the Lie symmetry transformations. The results would help the engineers select the ultra-short pulses in the optical communication.

Nonlinear Optical Interactions in Optical Fibers

1998 ◽  
Vol 07 (01) ◽  
pp. 105-112 ◽  
Author(s):  
Robert W. Boyd ◽  
Eric L. Buckland
Keyword(s):  
Optical Fiber ◽  
Optical Fibers ◽  
Optical Switching ◽  
Nonlinear Optical ◽  
Pulse Propagation ◽  
Fiber Type ◽  
Kerr Nonlinearity ◽  
Optical Response ◽  
Nonlinear Optical Response ◽  
Physical Processes

We report on our research program aimed at clarifying the physical processes leading to the nonlinear optical response of silica optical fibers and at studying the implications of optical nonlinearities on optical pulse propagation and optical switching devices. The dominant physical processes leading to the nonlinear optical response of an optical fiber are nonresonant electronic polarization, with essentially instantaneous response, the Raman interaction, with sub-picosecond response, and electrostriction, with nanosecond response. We present experimental results that show the consequence of each of these processes on the propagation of a light pulse through an optical fiber. We have also performed one of the first direct measurements of the electrostrictive contribution to the nonlinear refractive index of optical fibers. We measure values ranging from 1.5 × 10-16 to 5.8 × 10-16 cm2/W , depending on fiber type. These values are comparable to that of the fast, Kerr nonlinearity (i.e., sum of electronic and Raman contributions) of 2.5 × 10-16 cm2/W . The measured electrostrictive nonlinearities are significantly larger than those predicted by simple models, and the possible explanations of this difference are discussed.

scholarly journals A tutorial on fiber Kerr nonlinearity effect and its compensation in optical communication systems

2021 ◽  
Author(s):  
Sunish Kumar
Keyword(s):  
Optical Fiber ◽  
Optical Fibers ◽  
Optical Communication ◽  
Kerr Effect ◽  
Communication Systems ◽  
Pulse Propagation ◽  
Kerr Nonlinearity ◽  
Nonlinearity Compensation ◽  
Optical Communication Systems ◽  
Nonlinearity Effect

Abstract The advent of silica-based low-cost standard single-mode fibers revolutionized the whole communication industry. The deployment of optical fibers in the networks induces a paradigm shift in the communication technologies used for long-haul information transfer. However, the communication using the optical fibers is affected by several linear and nonlinear effects. The most common linear effects are attenuation and chromatic dispersion, whereas the dominant nonlinear effect is the Kerr effect. The Kerr effect induces a power-dependent nonlinear distortion for the signal propagating in the optical fiber. The detrimental effects of the Kerr nonlinearity limit the capacity of long-haul optical communication systems. Fiber Kerr nonlinearity compensation using digital signal processing (DSP) techniques has been well investigated over several years. In this paper, we provide a comprehensive tutorial, including the fundamental mathematical analysis, on the characteristics of the optical fiber channel, the origin of the Kerr nonlinearity effect, the theory of the pulse propagation in the optical fiber, and the numerical and analytical tools for solving the pulse propagation equation. In addition, we provide a concise review of various DSP techniques for fiber nonlinearity compensation, such as digital back-propagation, Volterra series-based nonlinearity equalization, perturbation theory-based nonlinearity compensation, and phase conjugation. We also carry out numerical simulation and the complexity evaluation of the selected nonlinearity compensation techniques.

scholarly journals Nonlinear Optical Fibers, Their Properties, and Applications

2020 ◽  
Vol 6 (2) ◽  
pp. 121-126
Author(s):  
B. R. Ghimire
Keyword(s):  
Refractive Index ◽  
Optical Fiber ◽  
Optical Fibers ◽  
Nonlinear Optical ◽  
Group Velocity Dispersion ◽  
Wavelength Dependence ◽  
Experimental Result ◽  
Material Dispersion ◽  
Waveguide Dispersion ◽  
Wavelength Absorption

Nonlinear optical properties and preparation of nonlinear optical fiber based on Bismuth oxide were described. Wavelength dependence of refractive index of ABH160 and B027 was studied and analyzed. Working and construction of optical ON-OFF switches, based on Bi-HNLF was reported. It was investigated that refractive index of ABH160 and Bo27 were found to be exponentially decaying as a function of wavelength. Absorption coefficient of ABH160 as a function of wavelength was found to be decaying exponentially. In optical fiber the total group velocity dispersion is divided into the material dispersion DM and waveguide dispersion DW. Material dispersion and waveguide dispersion were calculated theoretically and a good agreement with the experimental result. The process of four wave mixing and consequences was reviewed.

Chirp-free ultra-short pulses in complex nonlinear optical fibers

2016 ◽  
Vol 364 ◽  
pp. 110-114 ◽  
Author(s):  
Xiance Jiang ◽  
Jianchu Liang ◽  
Jianzhong Cao ◽  
Jinxiang Song ◽  
Zebin Cai
Keyword(s):  
Optical Fibers ◽  
Nonlinear Optical ◽  
Short Pulses

Study of Optical Properties of Carbon Nanotube and Fabrication of Nano Fiber Optic for Optical Communication

2010 ◽  
Vol 11 ◽  
pp. 139-144
Author(s):  
R. Karthik ◽  
G. Umasankar ◽  
K. Thirumurugan
Keyword(s):  
Optical Properties ◽  
Carbon Nanotube ◽  
Optical Fiber ◽  
Optical Communication ◽  
Nonlinear Optical ◽  
Fiber Optic ◽  
Third Order ◽  
Engineering Technology ◽  
Novel Structure ◽  
Nano Fiber

The success of the developed nano-engineering technology will lead to a redefinition of optical device manufacturing and integration and the functional and economic displacement of traditional bulk-optics devices. The discovery of nonlinear optical properties of the Carbon Nanotube (CNT) has paved the way for the research and development of high optical non linearity in CNT based nano optical fiber. In this paper, a novel structure of our proposed high optical non linearity CNT based nano optical fiber has been studied. In addition, a mathematical analysis on a high third-order optical non linearity of CNT based nano optical fiber has been done.

Heating and Burning of Optical Fibers and Cables by Light Scattered from Bubble Train Formed by Optical Fiber Fuse

2012 ◽  
Vol E95.B (8) ◽  
pp. 2638-2641 ◽  
Author(s):  
Makoto YAMADA ◽  
Akisumi TOMOE ◽  
Takahiro KINOSHITA ◽  
Osanori KOYAMA ◽  
Yutaka KATUYAMA ◽  
...  
Keyword(s):  
Optical Fiber ◽  
Optical Fibers

scholarly journals Nano- and Micropatterning on Optical Fibers by Bottom-Up Approach: The Importance of Being Ordered

2021 ◽  
Vol 11 (7) ◽  
pp. 3254
Author(s):  
Marco Pisco ◽  
Francesco Galeotti
Keyword(s):  
Optical Fiber ◽  
Optical Fibers ◽  
Self Assembly ◽  
Ordered Structures ◽  
Bottom Up ◽  
Photonic Structures ◽  
Fiber Technology ◽  
Optical Fiber Probes ◽  
Fiber Probes ◽  
Self Assembled

The realization of advanced optical fiber probes demands the integration of materials and structures on optical fibers with micro- and nanoscale definition. Although researchers often choose complex nanofabrication tools to implement their designs, the migration from proof-of-principle devices to mass production lab-on-fiber devices requires the development of sustainable and reliable technology for cost-effective production. To make it possible, continuous efforts are devoted to applying bottom-up nanofabrication based on self-assembly to decorate the optical fiber with highly ordered photonic structures. The main challenges still pertain to “order” attainment and the limited number of implementable geometries. In this review, we try to shed light on the importance of self-assembled ordered patterns for lab-on-fiber technology. After a brief presentation of the light manipulation possibilities concerned with ordered structures, and of the new prospects offered by aperiodically ordered structures, we briefly recall how the bottom-up approach can be applied to create ordered patterns on the optical fiber. Then, we present un-attempted methodologies, which can enlarge the set of achievable structures, and can potentially improve the yielding rate in finely ordered self-assembled optical fiber probes by eliminating undesired defects and increasing the order by post-processing treatments. Finally, we discuss the available tools to quantify the degree of order in the obtained photonic structures, by suggesting the use of key performance figures of merit in order to systematically evaluate to what extent the pattern is really “ordered”. We hope such a collection of articles and discussion herein could inspire new directions and hint at best practices to fully exploit the benefits inherent to self-organization phenomena leading to ordered systems.

Fabrication of Lensed Plastic Optical Fiber Array Using Electrostatic Force

2011 ◽  
Vol 133 (3) ◽  
Author(s):  
Yih-Tun Tseng ◽  
Jhong-Bin Huang ◽  
Che-Hsin Lin ◽  
Chin-Lung Chen ◽  
Wood-Hi Cheng
Keyword(s):  
Optical Fiber ◽  
Optical Fibers ◽  
Electrostatic Force ◽  
Coupling Efficiency ◽  
Numerical Aperture ◽  
Uv Curing ◽  
Power Budget ◽  
Fiber Array ◽  
Plastic Optical Fibers ◽  
Efficient Coupling

The GI (graded-index) POFs (Plastic optical fibers), which has been proven to reach distances as long as 1 km at 1.25 Gb/s has a relatively low numerical aperture . Therefore, the efficient coupling of GI POFs to the light source has become critical to the power budget in the system. Efficient coupling for a POFs system normally involves either a separate lens or the direct formation of the lens at the end of the fiber. Forming the lens-like structure directly on the fiber end is preferred for simplicity of fabrication and packaging, such as polishing and fusion, combine different fibers with the cascaded fiber method and hydroflouride (HF) chemical etching. These approaches are well established, but applicable only to glass. Optical assembly architecture for multichannel fibers and optical devices is critical to optical fiber interconnections. Multichannel fiber-pigtail laser diode (LD) modules have potential for supporting higher data throughput and longer transmission distances. However, to be of practical use, these modules must be more precise. This work proposes and manufactures lensed plastic optical fibers (LPOF) array. This novel manipulation can be utilized to fabricate an aspherical lens on a fiber array after the UV curing of the photo-sensitive polymer; the coupling efficiency (CE) is increased and exceeds 47% between the LD array and the fiber array.

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