Objective
The principle objective of the proposed project is to advance the understanding of mathematical theories of wave propagation when wavelengths are much shorter than typical length scales of the system.
An important technical point that will influence much of the research is that traditional short-wavelength theories often lead to the appearance of complex solutions of the relevant approximating equations, implying that allowance must be made for amplitudes that are exponentially small in terms of the short wavelengths. This happens, for example, when total internal reflection occurs, and in the vicinity of caustics and shadow boundaries.
Our rationale is to stimulate as much progress as possible by bringing together specialised theoretical and practical expertise from St Petersburg and Paris (much of the St Petersburg knowledge being unfamiliar to Western scientists) with the asymptotic and industrial experience of groups in Great Britain. Preliminary collaboration has revealed promising application areas concerning radar back-scattering and beam insonification, both of which may involve coated surfaces, and waveguide performance.
We expect the mathematical modelling and analysis of these configurations to be facilitated by the use of
systematic approximation theory, involving so-called "exponential asymptotics" and computer-aided visualisation of complexified space, backed up by,
distribution theory, which will also require computer identification of relevant multidimensional singularities. The results will be presented at conferences, in report series and conference proceedings, but principally as submissions to refereed journals.
Fields of science (EuroSciVoc)
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
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Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
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Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
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Coordinator
OX1 3LB Oxford
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.