Research Grants

EPSRC GRANT EP/R012008/1, Feb 2018 - Jan 2021

PI: Oscal Bandtlow

Jointly with Queen Mary University London and Nottingham Trent University

Transfer operator methods for modelling high-frequency wave fields – advancements through modern functional and numerical analysis

The aim of this project is to exploit advanced tools from functional analysis to put Dynamical Energy Analysis (DEA) on sound mathematical foundations and, at the same time, improve the efficiency of the method further in a systematic way. This is facilitated by recent progress in transfer operator methods and numerical analysis. The former allows for an increased flexibility in constructing new function spaces on which the operator has good spectral properties, the latter is achieved using block compression and reordering techniques for the DEA matrix based on matrix graph algorithms to improve solver efficiency and enhance parallelism. The project members have the expertise to bring these diverse fields together with Queen Mary University of London being world leading in transfer operator techniques, the University of Nottingham bringing in detailed knowledge on current implementations of DEA and Nottingham Trent University having the numerical analysis skills in the context of energy flow equations. The project thus constitutes a prime example where pure mathematics informs applied mathematics and the arising knowledge is channelled straight into industrial applications.

Horizon2020 - ITN No-to-Noise (N2N), Jan 2018 - Dec 2021 PI: Dimitrios Chronolpoulos

PI: Dimitrios Chronolpoulos

Jointly with Matelys Research Labs

Weight challenges in the transport industries imply a need for the development of lightweight and multifunctional structures. The N2N Training Network aims at developing a high-fidelity and efficient Multidisciplinary Design Optimization (MDO) scheme for multifunctional composites having poroelastic inclusions and combining minimum mass with maximum comfort levels. N2N will deliver valuable, original technological tools for satisfying the industrial needs by focusing on:
• The development of novel, efficient mathematical descriptions for modelling the mechanical and acoustic behaviour of poroelastic and composite media at multiple scales. 
• Designing structural panels and shells for targeted aeronautical, space, automotive, and civil engineering applications, having exceptional damping/mass ratio properties in a broadband frequency range. 
• Developing a methodology for providing accurate optimal designs for multifunctional composite structures that combine lightweight properties with exceptional acoustic and vibration isolation. 

Nottingham - Lund collaboration Fund Nov 2017 - Oct 2018

PI: Gregor Tanner

Jointly with Mats Gustafsson, Lund University

MIMO communications in a wave chaotic environment and in the near field

The paradigm shift in describing the new world of high-frequency 5G calls for new methodologies and techniques for modelling inter-network communication and network coverage. With a greatly increased density of base stations and demand for beam-steering, peer-to-peer networks and a proliferation of communicating devices in the upcoming Internet of Things, detailed modelling of the EM-field making up the network will increasingly be necessary and resolutions down to the centimetre or even milimeter scale (mmwaves) might be required. The project combines the tool-box of possible methods available at UoN ranging from large scales (DEA) to medium scales (transfer operator methods, TLM) and to the near field (Wigner function methods) with the expertise of the group of Prof Mats Gustafsson at Lund University on modelling antenna in detail both analytically and numerically. In particular the work on physical bounds on antenna and on antenna bandwidth optimisation are complementary to the work at UoN and will be vital in getting a hand on source description to be applied to coverage computation and optimisation in complex environments.

Horizon 2020 - ITN SAFE-FLY, March 2017 - Feb. 2021

PI: Dimitrios Chronolpoulos  

Jointly with Aeronova (Spain)

Modern aeronautical structures are increasingly made of composite materials due to their well-known benefits. Composite materials have however a wide range of possible failure modes, implying lengthy and expensive structural inspection processes for modern aircrafts. Ultrasonic guided wave technologies are nowadays confined in baseline subtraction approaches, where structural damage can be detected but not identified. This is due to lack of efficient techniques for predicting wave interaction with damage in composite structures.
SAFE-FLY brings together a team of enthusiastic researchers that will eventually propose the blue print for a novel, reliable and lightweight SHM integrated system, addressing key challenges and wishes identified and expressed by leading European aerospace industrialists. 

Case award with Romax Technologies, Sep 2016 - Aug 2019

PI: Gregor Tanner

Wave and ray propagation in complex built-up structures – Modelling the vibro-acoustic response of gear-box casings Dynamic Energy Analysis 

The Dynamical Energy Analysis (DEA) is based on ray-chaos methods and can estimate vibrational energy flows. The method can be formulated on meshes which opens up the possibility towards applications for fairly complex structures. The current project – supported by the company Romax Technology ( based on Jubilee Campus in Nottingham – deals with applying the DEA technique to modelling of the vibro-acoustic response of metal casing as they typically are used around gear-boxes. Romax is market leader in modelling gear-box dynamics for products as divers as wind turbines, cars or airplanes. The aim of the project is to determine the vibration patterns of the gear-box casings due to the mechanics inside the casing and to compute the noise being produced. The mathematical methods developed will arise from coupling the different components – gear-box/casing/surrounding fluid – and develop models for the resulting energy-flow equations.

Office of Naval Research Global, Sep 2016 - May 2021

PI: Gregor Tanner

Jointly with University of Maryland

Propagating electromagnetic signals through complex built-up structures – Resilience of electronic components in the presence of EM noise and environmental uncertainty

In this project, we combine two complementary approaches pursued by two different groups, namely the Dynamical Energy Analysis (DEA) approach pioneered at the University of Nottingham and the Random Coupling Model (RCM) introduced and developed at the University of Maryland. In a nutshell, DEA ‘’only’’ describes mean-field values, but inside complex, multi-compartment structures, (a whole ship if necessary), whereas the RCM describes the full field statistics, but uses ‘’only’’ limited geometrical information of the structure (no geometrical input about individual cavities other than area or volume). The overarching aim of this proposal is to develop an efficient numerical toolbox for modelling short wavelength EM-fields inside three- dimensional (multiple cavity) structures determining statistical fluctuations as well as mean field intensities.

ACCREDIT - COST Action IC 1407 Jan 2015- Dec 2019 PI: Dave Thomas

Advanced Characterization and Classification of Radiated Emissions in Densely Integrated Technologies

The growth of Internet-enabled smart infrastructures underpinning virtually every sector of economic and social life requires complex, high performance and highly integrated electronic systems. The electromagnetic interference (EMI) will increase with the anticipated increase of clock speeds, frequency of operation and circuit density. Immunity levels will also decrease due to lower supply voltages and lower signal power levels. Traditionally the potential EMI sources were assessed in the frequency domain assuming static emissions. This is not valid for multifunctional devices with many operating modes and wideband digital receivers. New approaches that fully account for time dependence and uncertainty are needed. This COST Action will fully address the challenges of the stochastic and broadband nature of EMI in current and future complex multi-functional systems through a coordinated international research programme specifically aimed at
• modelling approaches to include efficient behavioural models, propagation and interaction of stochastic field distributions.
• experimental methods including wideband near field probes and efficient time or frequency domain EMI measurement.
The COST format will be the critical enabler for initiating and consolidating structural collaboration of researchers from universities and industries in fundamental research on time domain, stochastic electromagnetic effect

Innovative - Co-Fund Marie Curie grant, Jan 2016 - Dec 2020

The Integration of Novel Aerospace Technologies “INNOVATIVE”

INNOVATIVE is a Marie Skłodowska-Curie COFUND Doctoral Programme hosted by the Institute for Aerospace Technology (IAT) and funded by the European Union. The programme enables the exploration of new technologies, materials, methods and processes for the aerospace sector AND their impact and interactions in the context of the interdependencies in the aerospace industry spanning cost, weight, energy and the environment, and the human experience and safety. INNOVATIVE is ambitious and aims to deliver a step-change in the training of Early Stage Researchers (ESRs) in aerospace technologies by providing a comprehensive programme that empowers researchers with a multidisciplinary skillset comprising tools, techniques and methods suitable for pursuing careers in Aerospace Technology and related fields. The programme includes four research areas and 24 ESR positions will be recruited over 3 cohorts.
As part of INNOVATIVE, the Wave Modelling Resaerch Group supervises a PhD project (Gregor Tanner and Dr Dimitrios Chronopoulos) on noise transport in composite structures.

NEMF21 - Future Emerging Technology Grant Oct 2015 - Sep 2018

Noisy Electromagnetic Fields – A Technological Platform for Chip-to-Chip Communication in the 21st Century. A Future Emerging Technology project funded by the European Union – Horizon 2020 programme

Electronic devices of the future will use wireless communication down to the chip level. An interdisciplinary, Nottingham-led, consortium of mathematicians, physicists and electric al engineers from the University of Nottingham, the University of Nice Sophia-Antipolis, the Technical University Munich, the Institut Supérieur de l’Aeronautique & de l’Espace, Toulouse, IMST GmbH, Germany, NXPSemi-conductors and CST AG, Germany, will provide the design tools for wireless Chip-to- Chip (C2C) communication, which will be essential for this future technology. The scientific challenges will be tackled with the help of substantial funding from Horizon 2020, amounting in total to 3.4 Mio Euros. More information about this project can be found under the project webpage (

EPSRC grant EP/K019694/1, Sep 2013 - Aug 2017

Characterizing electromagnetic fields of integrated electronic systems in enclosures – a ray-wave approach

The challenges of delivering fast and reliable EMC modelling tools at high frequencies are enormous; determining EM fields in a complex multi-source environment and in the GHz range including multiple-reflections, diffraction and interferences is a hard task already. For realistic electronic devices, the underlying source fields depend in addition on the (a-priori unknown) mode of operation and are thus aperiodic and time dependent; they act in many ways like stochastic, uncorrelated input signals. Indeed, no EMC methodology for modelling transient signals inside and outside of electronic devices originating from decorrelated, noisy sources exists today. This project sets out to meet this challenge head-on by developing an efficient numerical method and accompanying measurement techniques for the modelling of radiated transient EM fields inside and outside of multifunction electronic devices. The new numerical method is based on ideas from wave chaos theory using Wigner-Weyl transformation and phase-space propagation techniques. It makes use of the connections between wave correlation functions and phase space densities. Methods for efficiently propagating these densities have been developed recently by members of the project team. In this way, we can work directly in terms of statistical measures such as averages and field correlation functions appropriate for stochastic fields. This innovative approach demands input data from measurements which require a rethink of standard measurement techniques. In particular, correlated two-probe near-field measurements of electronic components become necessary which will be developed and tested as part of the project.

MHiVec - IAPP FP7, Sep 2013 - Aug 2017

PI: David Chappell

Mid-to-High Frequency Modelling of Vehicle Noise and Vibration

As the automotive industry moves towards virtual prototyping, the simulation and modelling of vehicle NV is becoming increasingly important. Providing accurate numerical predictions in this area is an extremely challenging task. A detailed analysis of the structural vibrations on very fine scales is required, and small parameter changes can lead to large shifts in the frequency response function for a given vehicle. The wide range of materials and intricate couplings between different components provide enormous challenges for a full vehicle simulation, especially in the range of frequencies above 500Hz. However, robust and efficient modelling techniques are indispensable for vehicle manufacturers, dramatically cutting costs by removing the need to develop expensive physical prototypes. See for more information about this project.