Tables of integrals

Optical Waveguide Theory

* The only book describing applications of nonlinear fiber optics * Two new chapters on the latest developments: highly nonlinear fibers and quantum applications* Coverage of biomedical applications* Problems provided at the end of each chapterThe development of new highly nonlinear fibers - referred to as microstructured fibers, holey fibers and photonic crystal fibers - is the next generation technology for all-optical signal processing and biomedical applications. This new edition has been thoroughly updated to incorporate these key technology developments.The book presents sound coverage of the fundamentals of lightwave technology, along with material on pulse compression techniques and rare-earth-doped fiber amplifiers and lasers. The extensively revised chapters include information on fiber-optic communication systems and the ultrafast signal processing techniques that make use of nonlinear phenomena in optical fibers.New material focuses on the applications of highly nonlinear fibers in areas ranging from wavelength laser tuning and nonlinear spectroscopy to biomedical imaging and frequency metrology. Technologies such as quantum cryptography, quantum computing, and quantum communications are also covered in a new chapter.This book will be an ideal reference for: RD scientists involved with research on fiber amplifiers and lasers; graduate students and researchers working in the fields of optical communications and quantum information. * The only book on how to develop nonlinear fiber optic applications* Two new chapters on the latest developments; Highly Nonlinear Fibers and Quantum Applications* Coverage of biomedical applications

Applications of nonlinear fiber optics

Preface 1. Wave Theory of Optical Waveguides 2. Planar Optical Waveguides 3. Optical Fibers 4. Couple Mode Theory 5. Nonlinear Optical Effects in Optical Fibers 6. Finite Element Method 7. Beam Propagation Method 8. Staircase Concatention Method 9. Planar Lightwave Circuits 10. Theorems and Formulas Appendix

Fundamentals of optical waveguides

http://ieeexplore.ieee.org/iel5/5/31325/01456922.pdf

An introduction to optical waveguides

This work presents method for computing dispersion parameters of guided modes propagating in commercially available telecommunication silica optical fibers with large core diameter. These real optical fibers differ from model ideal representation by non-symmetric geometry of transversal cross-section in both radial coordinates and refractive index profile form. We propose solution for detailed reconstruction of researched optical fiber 3D-structure by limited data from the protocols of refractive index profile measurement by conventional lab kits of optical fiber analyzers over conditional transversal cross-sections “X” and “Y”. It is based on irregular mesh with nodes laying on cross-section semi-axes corresponding to refractive index profile extremums that provides following implementation of triangularization procedure to form the adaptive mesh for researched fiber representation during its analysis by rigorous numerical methods. We performed computing of guided mode staff transmission parameters for commercially available sample of multimode optical fiber 50/125 of Cat. OM2 with great core asymmetry and strong refractive index profile distortions by recently developed modification of mixed finite element method adapted for analysis of optical fibers with large core diameter. Computation results were compared with data of analysis proceed by the same approach for model ideally symmetric multimode optical fiber with structure repaired also from the same sample measurement data but considered only from the one semi-axis.

Method for analysis of real commercially available optical fibers with large core diameter

This work presents method for differential mode group delay (DMGD) reducing in fiber optic links with enlarged core diameter silica GeO 2 -doped few-mode optical fibers (FMFs). Proposed solution is based on optimization of graded refractive index profile form providing guided mode staff DMGD equalization and following selective mode excitation by designed scheme of MDM channels placement over fiber core.

DMGD reducing in few-mode fiber optic links by special refractive index profile and selective mode excitation provided by designed MDM channels placement scheme over fiber core end

This work presents results of simulation and research on 16-LP-mode few-mode optical fiber (FMF) differential mode delay (DMD) spectral curve degradation due to refractive index profile local deviations from the optimized form.

Research on the influence of FMF refractive index profile deviation from the optimized form on DMD degradation

We present new type of silica graded index laser-optimized multimode optical fibers (LOMF) with extremely enlarged core diameter up to 100 μm and “typical” “telecommunication” cladding diameter 125 μm. This optical fiber was designed for harsh environment Gigabit onboard cable systems and industrial networks. It differs by special optimized graded refractive index profile, providing low differential mode delay (DMD) for selected guided modes. We present some results of tests, performed for manufactured pilot 520 m length of described LOMF 100/125, concerned with its geometry properties as well as key transmission parameters—attenuation and DMD map.

https://www.mdpi.com/2079-6439/8/3/18/pdf

New Silica Laser-Optimized Multimode Optical Fibers with Extremely Enlarged 100-μm Core Diameter for Gigabit Onboard and Industrial Networks

This work presents simulation of long-haul fiber optic link with few-mode fibers. Proposed model is, based on system of coupled nonlinear Schrodinger equations. We utilize combination of split step method and earlier on developed solution for optical fiber analysis based on Gaussian approximation. Presented model takes into account fiber dispersion and nonlinearity as well as its irregularity and mode coupling. It takes into account both the non-linear mode coupling and linear mode coupling. For simplicity, we assumed that the spans of amplification are the same and the span losses are, compensated by the optical amplifier fully. The amplified spontaneous emission (ASE) of Erbium doped fiber amplifiers (EDFA) under simulation is took into account too. In our investigation, we considered three examples of mode multiplexing. In the first example, only one of guided mode is, used for data transmission. In this case, the mode filters are set on input and output of the line amplifiers along the line. In the second example, the two LP modes are, used together as a space channels. And in the third example the vortex mode are used as a space channels. In the all cases, the mode multiplexors are set on output of the fiber optic link. We performed analysis of error probabilities for these examples. Here the systems with DQPSK format of modulation and 100 Gb/s per optical channel were considered. All results of simulation for mentioned examples were, compared with data of simulations for fiber optic link with single mode optical fiber.

Anton V. Bourdine

Papers

Method for analysis of real commercially available optical fibers with large core diameter

DMGD reducing in few-mode fiber optic links by special refractive index profile and selective mode excitation provided by designed MDM channels placement scheme over fiber core end

Research on the influence of FMF refractive index profile deviation from the optimized form on DMD degradation

New Silica Laser-Optimized Multimode Optical Fibers with Extremely Enlarged 100-μm Core Diameter for Gigabit Onboard and Industrial Networks

Simulations of a few-mode fiber optic link