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Workshop on Mathematical Ideas in Nonlinear Optics: Guided Waves in Inhomogenous Nonlinear Media

19-23 July 2004, Edinburgh

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Scientific Programme

The meeting, which will be held in Ewing House at Pollock Halls, will run for five full days, starting first thing on Monday 19 July and finishing in the afternoon of Friday 23 July.

For list of participants click here.

Timetable

Sunday 18 July
18.30-21.00 Registration and Buffet in the St Trinnean's Room, St Leonards Hall, Pollock Halls

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Monday 19 July
09.00-09.30 Registration continued
09.30-09.40 Welcome + Info + Practicalities
09.40-10.40 George Stegeman
Nonlinear optics in coupled waveguides with cubic and quadratic nonlinearities
10.40-11.00 Coffee
11.00-12.00 Nail Akhmediev (PDF)
Dissipative solitons
12.00-13.00 Mark Ablowitz
Pulse solutions to the higher order dispersion-managed NLS equation and properties
13.00-14.00 Lunch break
14.00-14.30 John Arnold
Vector solitons and polarisation dynamics in multi-level Maxwell-Bloch systems
14.30-15.00 Noel Smyth  (PDF)
Spatial solitons in liquid crystals: nematicons
15.00-15.30 Dmitry Pelinovsky
Bifurcations of travelling breathers in discrete NLS equations
15.30-16.00 Tea
16.00-17.00 Alan Champneys
Embedded solitons; multiplicity, bifurcation and quasi-stability
17.00-17.30 Vadim Zharnitsky (PDF)
Stability of ground states in a NLS of dispersion managed type

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Tuesday 20 July
09.00-09.30 Dmitry Skryabin
Solitons in photonic crystal fibers
09.30-10.30 Mordechai Segev
Solitons in nonlinear photonic lattices
10.30-11.00 Coffee
11.00-12.00 William Troy
Stability of solutions of a Schrödinger equation
12.00-12.30 David Arcoya
On a differential equation arising in nonlinear optics
12.30-14.00 Lunch break
14.00-14.30 David Kaup (PowerPoint)
Variational methods as applied to discrete solitons/embedded solitons
14.30-15.30 Philip Russell
Keeping light and matter in a tight space
15.30-16.00 Tea
16.00-17.00 Yuri Kivshar  (PDF)
Nonlinear optics and solitons in periodic photonic structures
17.00-17.30 Jianke Yang
Solitons in 2D Photonic Lattices
19.30 Evening social at 14 India Street (after dinner)

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Wednesday 21 July
09.00-09.30 Evgeny Doctorov
Subpicosecond optical solitons: analytical tools
09.30-10.30 Yuji Kodama
On the interaction of multi-phase solutions of the nonlinear Schrödinger equation and generation of a high intensity short optical pulse
10.30-11.00 Coffee
11.00-12.00 Gadi Fibich  (PDF)
Multiple filamentation of intense laser beams
12.00-12.30 Alejandro Aceves
Nonlinear optics in photonic structures
12.30-13.00 Sasha Movchan
Spectral problems for doubly periodic structures, defect modes and localisation
13.00 Lunch break
  FREE AFTERNOON- but workroom available for discussions
19.30 Evening Discussion/Poster Session (Common Room, Ewing House, Pollock Halls) Wine and guest speaker - Graham Gibson, Glasgow

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Thursday 22 July
09.00-09.30 Ole Bang  (PowerPoint)
Nonlocal solitons
09.30-10.30 Bill Kath
Methods for stimulating rare events in lightwave systems
10.30-11.00 Coffee
11.00-11.30 Sergei Turitsyn
Statistics of optical solitons
11.30-12.30 Stefano Trillo
X waves: a new perspective for localization
12.30-14.00 Lunch break
14.00-14.30 Huan-Song Zhou
Axisymmetric TE-modes in a self-focusing dielectric
14.30-15.30 Demetri Christodoulides
Discrete and lattice solitons in nonlinear periodic orbital systems
15.30-16.00 Tea
16.00-17.00 Bjorn Sandstede (PDF) (Citations/papers - Word)
Absolute instabilities and a nonlocal Evans-function analysis in the master mode-locking equation
17.00-17.30 Peter Christiansen
Localization of nonlinear excitations in curved waveguides
19.00 Conference Dinner - Howies, Waterloo Place

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Friday 23 July
09.30-10.00 Eric Séré
A nonlinear model for electrons and positrons in strong electrostatic fields
10.00-10.30 Jared Bronski
Instabilities in a periodic NLS
10.30-11.00 Coffee
11.00-11.30 M Senthilvelan
Self-written waveguides
11.30-12.30 Vieri Benci
Maxwell equations and solitary waves
12.30-14.00 Lunch break
14.00-14.30 Rudy Horne
Optical communications systems: Short pulse models and four-wave mixing with random dispersion
14.30-15.00 Peter Miller
The N-soliton when N is large
15.00-15.30 Roy Goodman (PDF)
The 2-bounce resonant in soliton-soliton and soliton-defect interactions
15.30-16.00 David Hutchings (PDF)
Quasi-phase-matching in semiconductor waveguides by the spatial modulation of chi(2) using intermixing
16.00-16.30 Tea
16.30-17.00 Nathan Kutz
Models for modelocked soliton lasers
17.00 Formal closure

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Posters

Sebastien Guenneau (with J B Pendry, FRS & B Gralak)
Transfer matrix formalism for point reflectors in metamaterials: application to the Perfect Corner reflector
Margarida Facão & David Parker (PDF)
Stability of accelerating solitons and self-bending beams
Vassilis Rothos & Dmitry Pelinovsky
Travelling waves in nonlinear lattices and applications
David Ruiz (PDF)
Concentration around spheres of solutions for a nonlinear coupled Schrödinger-Poisson equation
Tom Vogel
Embedded solitons in a chi(2): chi(3) system


Participants

15 July 2004
Name Institution
Ablowitz, Mark Colorado University
Aceves, Alejandro University of New Mexico
Akhmendiev, Nail Australian National University
Arcoya, David University of Granada
Arnold, John Michael University of Glasgow
Bang, Ole Technical University of Denmark
Batarfi, Hanan King Abdul Aziz University
Benci, Vieri Universita de Pisa
Bronski, Jared C. University of Illinois Urbana-Champaign
Champneys, Alan Richard University of Bristol
Christiansen, Peter Technical University of Denmark
Christodoulides, Demetri University of Central Florida
Doktorov, Evgeny B.I. Stepanov Institute of Physics
Elgin, John Imperial College London
Felli, Veronica Universita' di Milano Bicocca
Fibich, Gadi Tel Aviv University
Firth, Willy University of Strathclyde
Gabitov, Ildar University of Arizona
Goodman, Roy New Jersey Institute of Technology
Guenneau, Sebastien Imperial College London
Horne, Rudy University of North Carolina
Hutchings, David University of Glasgow
Kath, Bill Northwestern University
Kaup, David University of Central Florida
Kivshar, Yuri Australian National University
Knops, Robin Heriot-Watt University
Kodama, Yuji Ohio State University
Kozyreff, Gregory University of Oxford
Kutz, Nathan University of Washington
Larionova, Yevgeniya Physikalisch-Technische Bundesanstalt
Lord, Gabriel J Heriot-Watt University
Miller, Peter University of Michigan
Moore, Richard University of Delaware
Mottram, Nigel University of Strathclyde
Movchan, Sasha University of Liverpool
Parker, David Edinburgh University
Pelinovsky, Dmitry McMaster University
Rothos, Vassilis Queen Mary College London
Ruiz, David University of Granada
Ruppen, Hans-Jörg Ecole Polytechnique Fédérale
Russell, Phillip University of Bath
Sandstede, Bjorn Ohio State University
Segev, Mordechai Israel Institute of Technology
Senthilvelan, M Bharathidasan University
Séré, Eric Université de Paris IX- Dauphine
Shaw, Ken National Science Foundation
Skryabin, Dmitry University of Bath
Smyth, Noel University of Edinburgh
Stegeman, George University of Central Florida
Stuart, Charles Ecole Polytechnique Fédérale de Lausanne
Trillo, Stefano Universita'di Ferrara
Troy, William University of Pittsburgh
Turitsyn, Sergei Aston University
Vogel, Tom University of Central Florida
Waterton, Richard University of Glasgow
Weinstein, Michael Columbia University and Bell Labs
Yang, Jianke University of Vermont
Zharnitsky, Vadim University of Illinois at Urbana Champaign
Zhou, Huan-Song Academia Sinica

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