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

In this paper, the method is proposed for compensating for distortion of signals transmitted in a fiber-optic link, based on the inclusion of an analog optical in-verse nonlinear phase filter. The proposed implementation of the restoring analog optical nonlinear phase filter. The simulation results are presented, which demonstrate the ability to compensate for nonlinear distortions and restore pulse signals in a fiber-optic transmission line using the proposed filter. It is shown that the quality of the restoration largely depends on the admissibility of the linear approximation for the exponential characteristic of the nonlinear filter.

Optical Analog Nonlinear Compensation for Fiber Optic Link

A well-known dense dispersion management soliton (DDMS) technique is applied to increase bandwidth of metropolitan
area network fiber optic links. This technique requires an installation of optical cables with dispersion compensating
fibers (DCFs), which leads to high costs for upgrading of installed fiber optic links. To become the DDMS more
applicable, we propose to place DCFs in optical fiber closures. Here results of numerical simulations of optical pulse
propagation and following bit-error-ratio estimation in fiber optic link with DCFs in optical closures are represented.

Optical link upgrade by DDMS technique with compensating fiber in optical cable closure

This work continues the series of publications devoted to theoretical researches of silica graded-index few-mode optical
fibers with eliminated nonlinearity due to much extended mode effective area by considerably increased core diameter.
We utilized an earlier on developed modified Gaussian approximation generalized for arbitrary order guided mode in
silica optical fiber with arbitrary axially symmetric graded refractive index profile bounded by single solid outer cladding
to calculate researched fiber guided mode staff parameters. Here we present results of chromatic dispersion computation
of higher-order guided modes propagating over large core 6-mode optical fibers with special refractive index profiles
providing low differential mode delay that were synthesized in recent papers.

Chromatic dispersion estimation for higher-order guided modes propagating over silica large core few-mode optical fibers

This work presents some results of earlier on performed optimization of refractive index profile for 42 μm core 16-LPmode optical fiber for next-generation optical networks. Here special profile form provides total differential mode delay (DMD) reducing over all the mode staff under desired enhanced mode effective area. We propose method for simulation of "real manufactured" few-mode optical fiber (FMF) core geometry, differing from desired optimized structure by core asymmetrical ellipticity and refractive index profile deviation, including local fluctuations. Some results of following analysis of considered optimized FMF with inserted geometry distortions, performed by earlier on developed modification of rigorous mixed finite-element method showed strong DMD degradation that requires additional higher-order mode management. Therefore this work also presents results of design of mode division multiplexer channel precision spatial positioning scheme at FMF core end that provides one of the potentiality solution of described DMD degradation problem concerned with "distorted" core geometry due to features of optical fiber manufacturing techniques.

Design of MDM-multiplexer channel precision spatial positioning scheme at the core end of a few-mode optical fiber with asymmetrically distorted core geometry

Optical time domain reflectometer (OTDR), based on Rayleigh backscattering time domain method, is one of the basic
measurement instrument for optical fiber link parameters determination. However, OTDR provides only an indirect
measurements that allows to additional errors. Analysis and evaluation of errors, occurring during fiber optic link attenuation
measurements by Rayleigh backscattering time domain method are proposed. Results of experimental investigations
of the error of quasi-regular section attenuation measurement, depending on signal-to-noise ratio and section
length are represented. Recommendations to OTDR operating mode selections are defined.

Anton V. Bourdine

Papers

Optical Analog Nonlinear Compensation for Fiber Optic Link

Optical link upgrade by DDMS technique with compensating fiber in optical cable closure

Chromatic dispersion estimation for higher-order guided modes propagating over silica large core few-mode optical fibers

Design of MDM-multiplexer channel precision spatial positioning scheme at the core end of a few-mode optical fiber with asymmetrically distorted core geometry

Analysis and estimation of errors occurring during fiber optic link attenuation measurements by the optical time domain reflectometry technique