| EPSRC Reference: |
GR/R93612/01 |
| Title: |
FARADAY FAST TRACK PROPOSAL: ELECTROMAGNETIC INVERSE PROBLEMS FOR LIQUID CRYSTAL DISPLAYS AND CAPACITANCE IMAGING |
| Principal Investigator: |
Lionheart, Professor WRB |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Mathematics |
| Organisation: |
University of Manchester, The |
| Scheme: |
Faraday (PreFEC) |
| Starts: |
21 October 2002 |
Ends: |
20 October 2004 |
Value (£): |
107,342
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| EPSRC Research Topic Classifications: |
| Continuum Mechanics |
Non-linear Systems Mathematics |
| Numerical Analysis |
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| EPSRC Industrial Sector Classifications: |
| Electronics |
Creative Industries |
| R&D |
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| Related Grants: |
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| Panel History: |
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Summary on Grant Application Form |
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The main focus of this project is the inverse problem of determining nematic liquid crystal director angle distributions from optical measurement. This is a special case of determining the anisotropic permittivity tensor in time harmonic Maxwells equations from overspecified boundary data. A special feature of this problem is that the director angles satisfy a system of non-linear elliptic partial differential equations. This information can be used as prior information in a reconstruction algorithm.The forward problem, in the most general case will be solved by Whitney finite elements and a regularized Newtons method, incorporating prior smoothness will be implemented to solve the inverse problem.The algorithms and code developed to solve the liquid crystal problem will be adapted to solve lower frequency inverse permittivity problems in larger domains, particularly for the electromagnetic and electrostatic location of plastic land mines.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.man.ac.uk |