Mathematical theory and applications of multiple wave scattering
MWS
4 January 2023 to 30 June 2023
Programme theme
Waves are all around us, as acoustic waves, elastic waves, electromagnetic waves, gravitational waves or water waves. Multiple wave scattering is a vibrant and expanding research area of interest to mathematicians, physicists, engineers and others concerned with the properties of waves in complex materials. The mathematical theory has a long history and was studied by luminaries of 19th-century science, such as Maxwell and Rayleigh. A sound understanding of the field is essential to deliver the potential transformative innovations beyond the realm of sci-fi that can be achieved by manipulating wave behaviour, such as invisibility cloaks, noise cancellation, imaging living cells, and many more. Contemporary mathematical challenges are extensive, ranging from design of metamaterials to numerical difficulties associated with massive scattering simulations. The programme will be an interdisciplinary joining of forces to elucidate the fundamental mathematical aspects of multiple wave scattering in a variety of contexts, aiming for a deep understanding of the commonalities.
The programme will address diverse methodological approaches for multiple wave scattering problems to (a) establish effective communication and mutual understanding across disciplines and application areas; (b) identify correspondences and divergences between the different methods; (c) highlight the most critical challenges for the various methods; (d) identify and progress the approaches most likely to be successful in addressing these challenges; and (e) accelerate innovation in applications such as metamaterial design and medical imaging. The methods that will be covered include (but are not constrained to) homogenisation methods, multipole expansions, addition theorems, spectral methods, eigenfunction methods, plane-wave representations, transfer operators, inverse methods for image reconstruction and semi-analytical techniques.
A number of mathematical questions will be addressed, with common interest across many applications and disciplines. These include closure assumptions, often addressed through historic but unexplored approximations, the effect of structural disorder (e.g. defects or pseudo-randomness), the validity of approximate solutions (Mie, Rayleigh, Born), and approaches to the challenging mid-wavelength regime. Solutions of inverse problems, such as the design of metamaterials or image reconstruction, will also be a topic of interest.
Consideration of computational methods for multiple scattering problems will go hand-in-hand with the discussion of analytical and semi-analytical methods. Rapid advances in the field have generated new capabilities to investigate high-frequency regimes using homogenisation techniques, direct numerical simulations of vast arrays of scatterers, energy density field modelling using transfer operator methods, etc. Bringing together researchers across disciplines covering analytical methods, computational techniques and scientific/engineering applications will facilitate cross-fertilisation of ideas and promote innovation.
Multiple wave scattering has many applications, which has caused research in the field to be fragmented, despite the known commonalities at a fundamental level. Researchers in medical imaging, electromagnetics, acoustics, quantum electronic structures, atmospheric imaging, water/structure interactions, etc., often adopt or develop related techniques, but communication between the disciplines can be limited and challenging. The programme aims to bring together mathematicians, physicists and engineers across diverse disciplines. We aim to build on shared fundamentals, highlight the most pressing research challenges, and exchange state-of-the-art methodologies and approaches. This all-community approach will promote solutions to the issues facing many practical applications in complex media through the rigorous underpinning of mathematical techniques and the development of effective computational methods.
The MWS programme was supported by the UK Acoustics Network (UKAN+), UK Metamaterials Network (UKMMN), US Army DEVCOM, US Office of Naval Research, and US Office of Naval Research Global.
> Click here to download a promotional poster detailing the MWS programme (PDF)
> Click here to see the content produced by Plus Magazine during the MWS programme
MWS programme: interview with organisers Luke Bennetts, Malte Peter and Valerie Pinfield
Preprints
| Title | Year | Programme | |
|---|---|---|---|
Phase recovery from phaseless scattering data for discrete Schro ̈dinger operatorsAuthors: Basant Lal Sharma, Roman Novikov |
2022 | MWS | 13 July 2023 |
Workshops
Winter School
9 January 2023 to 13 January 2023
Canonical scattering problems
6 February 2023 to 10 February 2023
Theory of wave scattering in complex and random media
20 March 2023 to 24 March 2023
Computational methods for multiple scattering
17 April 2023 to 21 April 2023
Multiple scattering in engineering and applied sciences
22 May 2023 to 26 May 2023
Wave Scattering in Complex Matter: Advances in Material Characterisation and the Design of Materials
31 May 2023 to 31 May 2023
Seminars
| Thursday 26th January 2023 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Mike Meylan University of Newcastle, Australia |
Room 2 | 
|
| Thursday 2nd February 2023 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Kei MATSUSHIMA University of Tokyo |
Room 2 | |
| Thursday 16th February 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
Bryn Davies Imperial College London |
Room 2 |
|
| Thursday 23rd February 2023 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Gennady Mishuris Aberystwyth University |
Room 2 |
|
| Thursday 2nd March 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
John Chapman Keele University |
Room 2 |
|
| Thursday 9th March 2023 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Matthew Colbrook University of Cambridge |
Room 2 |
|
| Thursday 16th March 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
Sebastian Guenneau CNRS (Centre national de la recherche scientifique); Imperial College London |
Room 2 |
|
| Friday 17th March 2023 | |||
|---|---|---|---|
| 11:00 to 12:00 |
Ping Sheng Hong Kong University of Science and Technology; CY Cergy Paris University |
Room 2 | |
| Thursday 23rd March 2023 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Agnes Maurel ESPCI ParisTech |
Room 1 |
|
| Thursday 30th March 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
Alexander Movchan University of Liverpool |
Room 2 | |
| Thursday 13th April 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
Jean-Philippe Groby CNRS (Centre national de la recherche scientifique) |
Room 2 | |
| Thursday 27th April 2023 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Tony Valier-Brasier Sorbonne Université |
Room 2 |
|
| Thursday 4th May 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
Simon Félix CNRS (Centre national de la recherche scientifique) |
Room 2 |
|
| Wednesday 10th May 2023 | |||
|---|---|---|---|
| 13:30 to 14:30 |
Tristan Lawrie University of Nottingham |
Room 2 |
|
| Friday 12th May 2023 | |||
|---|---|---|---|
| 11:00 to 12:00 |
Larissa Fradkin Sound Mathematics Ltd |
Room 1 |
|
| Thursday 18th May 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
Gregory Chaplain University of Exeter |
Room 2 |
|
| Wednesday 24th May 2023 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Liliana Borcea University of Michigan |
Room 1 |
|
| Wednesday 7th June 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
Jordan Pitt University of Adelaide |
Room 2 |
|
| Thursday 15th June 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
Stanislav Maslovski Universidade de Aveiro |
Room 2 |
|
| Thursday 22nd June 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
Andrea Piccolroaz University of Trento |
Room 2 |
|
| Friday 23rd June 2023 | |||
|---|---|---|---|
| 10:30 to 11:30 |
Ross McPhedran University of Sydney |
Room 2 | |
| Monday 26th June 2023 | |||
|---|---|---|---|
| 13:30 to 15:00 |
Marie Graff University of Auckland |
Room 2 | |
Organisers
- Luke Bennetts University of Adelaide
- Mike Meylan University of Newcastle, Australia
- Malte Peter Universität Augsburg
- Valerie Pinfield Loughborough University
- Olga Umnova University of Salford
Speakers
- Liliana Borcea University of Michigan
- Gregory Chaplain University of Exeter
- John Chapman Keele University
- Matthew Colbrook University of Cambridge
- Bryn Davies Imperial College London
- Larissa Fradkin Sound Mathematics Ltd
- Simon Félix CNRS (Centre national de la recherche scientifique)
- Marie Graff University of Auckland
- Jean-Philippe Groby CNRS (Centre national de la recherche scientifique)
- Sebastian Guenneau CNRS (Centre national de la recherche scientifique); Imperial College London
- Tristan Lawrie University of Nottingham
- Stanislav Maslovski Universidade de Aveiro
- Kei MATSUSHIMA University of Tokyo
- Agnes Maurel ESPCI ParisTech
- Ross McPhedran University of Sydney
- Mike Meylan University of Newcastle, Australia
- Gennady Mishuris Aberystwyth University
- Alexander Movchan University of Liverpool
- Andrea Piccolroaz University of Trento
- Jordan Pitt University of Adelaide
- Ping Sheng Hong Kong University of Science and Technology; CY Cergy Paris University
- Tony Valier-Brasier Sorbonne Université
Participants
- David Abrahams University of Cambridge
- Mungo Aitken University of Cambridge
- Pierre Amenoagbadji ENSTA ParisTech
- Ivan Argatov Technische Universität Berlin
- Raphael Assier University of Manchester
- Alex Barnett Simons Foundation
- Luke Bennetts University of Adelaide
- Timo Betcke University College London
- SUSAM BORAL Indian Institute of Technology Kharagpur
- Liliana Borcea University of Michigan
- Fioralba Cakoni Rutgers, The State University of New Jersey
- Durga Prasad Challa Indian Institute of Technology Tirupati
- Simon Chandler-Wilde University of Reading
- Gregory Chaplain University of Exeter
- John Chapman Keele University
- Lucas Chesnel INRIA Saclay - Île-de-France; ENSTA ParisTech
- Matthew Colbrook University of Cambridge
- Daniel Colquitt University of Liverpool
- Richard Craster Imperial College London
- Santu Das Institute of Advanced Study in Science and Technology
- Bryn Davies Imperial College London
- Berangere Delourme Université Sorbonne Paris Nord
- Matthew Fernandes Macquarie University
- Sonia Fliss ENSTA ParisTech
- Simon Félix CNRS (Centre national de la recherche scientifique)
- Josselin Garnier École Polytechnique
- Andrew Gibbs University College London
- Peter Gibson York University (Canada)
- Laure Giovangigli ENSTA ParisTech
- Malin Goteman Uppsala Universitet
- Art Gower University of Sheffield
- Marie Graff University of Auckland
- Jean-Philippe Groby CNRS (Centre national de la recherche scientifique)
- Stuart Hawkins Macquarie University
- David Hewett University College London
- Patrick Joly INRIA Saclay - Île-de-France
- Nicole Kessissoglou University of New South Wales
- Anastasia Kisil University of Manchester
- Valentin Kunz University of Manchester
- Agnes Lamacz-Keymling Universität Duisburg-Essen
- Tristan Lawrie University of Nottingham
- Jane Lawrie Brunel University
- Elena Luca University College London
- James Ludlam University of Strathclyde
- Georg Maierhofer Sorbonne Université
- Paul Martin Colorado School of Mines
- Stanislav Maslovski Universidade de Aveiro
- Kei MATSUSHIMA University of Tokyo
- Agnes Maurel ESPCI ParisTech
- Elena Medvedeva University of Manchester
- Mike Meylan University of Newcastle, Australia
- Gennady Mishuris Aberystwyth University
- Samaneh Moeini Universität Kassel
- Andrea Moiola Università degli Studi di Pavia
- Fabien Montiel University of Otago
- Natasha Movchan University of Liverpool
- Alexander Movchan University of Liverpool
- Kevish Napal University of Sheffield
- Matthew Nethercote University of Manchester
- Michael Nieves Keele University
- Vincent Pagneux Université du Maine
- William Parnell University of Manchester
- Malte Peter Universität Augsburg
- Daniel Peterseim Universität Augsburg
- Kim Pham ENSTA ParisTech
- Andrea Piccolroaz University of Trento
- Valerie Pinfield Loughborough University
- Jordan Pitt University of Adelaide
- Paulo Sergio Piva University of Sheffield
- Richard Porter University of Bristol
- Megan Povey University of Leeds
- Adrien Rohfritsch INSERM
- Vicent Romero-García Universidad Politécnica de Valencia
- Ory Schnitzer Imperial College London
- Ben Schweizer Technische Universität Dortmund
- Andrey Shanin Moscow State University
- Basant Lal Sharma Indian Institute of Technology
- Ping Sheng Hong Kong University of Science and Technology; CY Cergy Paris University
- Mourad Sini Austrian Academy of Sciences
- Haris Skokos University of Cape Town
- Alex Skvortsov University of New South Wales
- Valery Smyshlyaev University College London
- Vladislav Sorokin University of Auckland
- Durvudkhan Suragan Nazarbayev University
- Gregor Tanner University of Nottingham
- Katy Tant University of Strathclyde
- Ian Thompson University of Liverpool
- Daniel Torrent Universitat Jaume I
- Marie Touboul Imperial College London
- Olga Umnova University of Salford
- Carolina Urzúa-Torres Delft University of Technology
- Tony Valier-Brasier Sorbonne Université
- Barbara Verfürth Universität Bonn
- Kevin Vynck CNRS (Centre national de la recherche scientifique); Université Claude Bernard Lyon 1
- Amy-Rose Westcott University of Adelaide
- David Wiedemann Universität Augsburg
- John Raymond Willis University of Cambridge
Supported By
