Workshop on Mathematical Ideas in Nonlinear Optics Programme Page

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

19-23 July 2004, Edinburgh

Workshop Home Page | Scientific Programme & Participants | Workshop Arrangements

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

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

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)

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

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

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

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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