Research
Research Interest 1
1. Partial Differential Equations & Calculus of Variations
2. Asymptotic methods (singular perturbations,
thin-structures, homogenization)
3. Numerical modelling (Finite Elements, Multipole
Methods)
4. Applications to Physics: Elastodynamics,
Electromagnetism, Negative refraction, Photonic Crystal Fibres
Research grants
Son et lumiere in photo-sonic crystal fibres.
BRITISH COUNCIL (UK)
January 2005 - December 2006
Computational differential geometry applied to invisibility cloaks in electromagnetism and elastodynamics
ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL
June 2008 - June 2010
Funmaths Roadshow and Liverpool maths Club: Further Expansion and Development
ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL
September 2006 - November 2008
FunMaths Roadshow: UK-wide Roll-out
ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL
April 2009 - July 2012
Research collaborations
Prof Pierre Beauvillain (Directeur de Recherche CNRS)
Institut Electronique Fondamentale (UMR CNRS 8622, Paris)
Modelling of magneto-optical photonic crystals
Dr Kirill Cherednichenko
University of Cambridge
High-Frequency homogenisation of Maxwell's operator
Sir Prof John Pendry
Imperial College of Science, Technology
Modelling of perfect corner lenses in order to trap light (applications in stealth technology, Laser cavities, cryptography)
Prof Ross McPhedran
Centre for Ultrahigh bandwidth Devices for Optical Systems (CUDOS, Sydney)
Asymptotic estimates for localised modes in periodic structures (with Prof. A.B. Movchan and Dr N.V. Movchan)
S. Anantha Ramakrishna
Indian Institute of Technology (Kanpur)
Modelling of plasmonic structures shaped as traingular checkerboards in order to achieve extraordinary transmission through amplification of evanescent waves
Prof. Philip Russell
Opto Electronics Group, University of Bath
Coupling between sound and light in Photonic Crystal Fibres
Prof Andre Nicolet, Dr Frederic Zolla, Dr Stefan Enoch
Institut Fresnel, UMR CNRS 6133, Marseille
2001- Collaboration on modelling of Micro-structured Fibres (resulting in about 15 research papers and a book published by ICP Press in 2005) & homogenisation of electromagnetic problems involving periodic and quasi-periodic structures 2005- Collaboration on negative refraction