MathsNet: Research Student Directory

Name Madenoor Ramapriya, Deepthee
Group Industrial and Applied Mathematics
Room A14, Math Sci
Telephone +44 (0) 115 82 32068 [direct dial]
Thesis Title Mathematical modelling
Thesis Abstract This project contributes the NEMF21 programme to develop theoretical and computational methods to model wireless communications between chips while taking explicit account of the particular physical environment of the devices involved. The aim of the wider project is to develop computational tools and measurement techniques that will ultimately be used in software packages to model chip-to-chip wireless communication and to develop design strategies for chip architectures. This PhD project will contribute by developing computational and theoretical methods to propagate EM fields within enclosures, while taking account of the fact that the sources are typically noisy and statistically characterised. The main focus will be to develop propagators for correlation functions, which characterise the average properties of the wave field when compared at two nearby points. The methods used will involve Green function techniques, numerical approaches to wave propagation, and, where possible, short-wavelength approximation related to ray tracing. In the ray-tracing picture, an important theoretical aspect will be to use phase space ideas and to exploit techniques developed in dynamical systems theory to efficiently propagate bundles of rays.
School contact information School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, NG7 2RD
Tel: +44 (0) 115 951 4949
Fax: +44 (0) 115 951 4951