to be done in this area. Face recognition is a problem that scarcely clamoured for attention before the computer age but, having surfaced, has involved a wide range of techniques and has attracted the attention of some fine minds (David Mumford was a Fields Medallist in 1974). This singular application of mathematical modelling to a messy applied problem of obvious utility and importance but with no unique solution is a pretty one to share with students: perhaps, returning to the source of our opening quotation, we may invert Duncan's earlier observation, 'There is an art to find the mind's construction in the face!'.

Linear and nonlinear waves, by G. B. Whitham. Pp.636. £50. 1999. ISBN 0 471 35942 4 (Wiley).

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

In this paper method and equipment for estimation of polarization mode dispersion distribution along optical
communication lines are represented. The polarization optical time domain reflectometer with linear extension of pulse
width is described. The measurement algorithm and data processing algorithm are shown. The prototype model of
PODTR was developed.

Polarization optical time domain reflectometer with linear extension of pulse width

Based on coupled nonlinear Schrodinger equation (CNLSE) piecewise regular model of few-mode long-haul fiber optic transmission link with DWDM and Erbium amplifiers is considered The few-mode fiber optic transmission link model takes into account the loss, dispersion, differential mode delay, nonlinearity and non-regularity Based on mode coupling theory and Gaussian approximation modification of split-step Fourier method for the numerical simulation of the CNLSE is introduced Examples of simulation of a few-mode long-haul fiber optic transmission link by this method are presented

Modeling and simulation of a few-mode long-haul fiber optic transmission link

/pdf/simulation-of-a-long-haul-fiber-optic-link-with-a-two-mode-17m87epofw.pdf

Simulation of a Long-Haul Fiber Optic Link with a Two-Mode Optical Fiber

This work presents results of experimental researches of fiber Bragg gratings (FBG) operating in a few-mode regime.
We tested FBGs written on silica graded-index multimode fibers 50/125 Cat. OM2+/OM3 with Bragg wavelength 1550
nm by using them in a set of developed experimental schemes based on excitation of multimode fibers by corresponding
laser sources. The researches were focused on analysis of both spectral and pulse responses under changing of selected
mode mixing and power diffusion processes due to tension and/or stress local and distributed action to FBG or sensor
fiber. Results of spectral and pulse response measurements at the output of schemes with installed described FBGs are
represented.

Experimental researches of fiber Bragg gratings operating in a few-mode regime

This work presents results of experimental approbation of modified fiber optic stress sensor based on a few-mode effects
occurring during laser-excited optical signal propagation over silica multimode optical fiber (MMF). Modification is
concerned with adding of quasi-interferometric scheme realized by two multimode Y-couplers with equalized arm
lengths improved by fiber Bragg grating (FBG) and special offset launching conditions providing laser-based excitation
of higher-order modes. We tested FBGs written on graded-index MMFs 50/125 with Bragg wavelength 1550 nm connected
to different parts of proposed scheme. Researches are focused on comparing analysis of both spectral and pulse
responses under changing of selected mode mixing and power diffusion processes due to stress local and distributed action
to sensor fiber depending on scheme configuration. Here we considered FBGs not only as particular wavelength
reflector during spectral response measurement but also as local periodic microstructure defect strongly effecting few-mode
signal components mixing process that provides pulse response variation. Some results of spectral and pulse response
measurements produced for different scheme configuration and their comparison analysis are represented.

Quasi-interferometric scheme improved by fiber Bragg grating for detection of outer mechanical stress influence on distributed sensor being silica multimode optical fiber operating in a few-mode regime

Vladimir A. Burdin

Papers

Polarization optical time domain reflectometer with linear extension of pulse width

Modeling and simulation of a few-mode long-haul fiber optic transmission link

Simulation of a Long-Haul Fiber Optic Link with a Two-Mode Optical Fiber

Experimental researches of fiber Bragg gratings operating in a few-mode regime

Quasi-interferometric scheme improved by fiber Bragg grating for detection of outer mechanical stress influence on distributed sensor being silica multimode optical fiber operating in a few-mode regime