Research Grants

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 proposal 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.

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.

EPSRC grant EP/R012008/1, Feb 2018 – 
SAFE-FLY – Transfer operator methods for modelling high-frequency wave fields – advancements through modern functional and numerical analysis

Modelling high-frequency wave fields ranging from noise and vibration to electromagnetic waves is a challenging task. Wave simulations for large-scale, complex structures such as aeroplanes, cars or buildings are mainly based on a class of methods, known as finite element techniques, which are efficient only at low frequencies with typical length-scales of the structure being comparable to or smaller than the wavelength. Noise and vibration modelling in the automotive industry, for example, can be performed reliably with finite element techniques only up to 500Hz. An alternative technique, termed Dynamical Energy Analysis (DEA), has recently been developed in Nottingham and is based on computing energy flow equations. It has been refined to be applicable to real scale structures such as a large container ship or a tractor model from Yanmar Co, Ltd, a tractor manufacturer from Japan. The method is now used both in the engineering community and by industry. DEA exhibits a rich underlying mathematical structure, formulated in terms of an operator, known as transfer operator, originally arising in the theory of chaotic dynamical systems. In order to advance the applicability of the method further, a thorough mathematical analysis is needed.

The aim of this proposal is to exploit advanced tools from functional analysis to put DEA on sound 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 channeled straight into industrial applications.

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


ACCREDIT – COST Action IC 1407
Advanced Characterization and Classification of Radiated Emissions in Densely Integrated Technologies


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

The Integration of Novel Aerospace Technologies “INNOVATIVE” PhD project jointly supervised between Dr Gregor Tanner and Dr Dimitrios Chronopoulos and Dr Peiffer (Airbus Group).

Romax Technologies 

Case Award with Romax Technology. Romax Technology is an SME on Jubilee Campus, University of Nottingham, interested using our vibro-acoustic modelling capabilities in connection with their gear-box simulation software.