Proposal of a mathematical formalism for EMC, based on tensor analysis of networks
Starting from a general lagrangian approach, we introduce the fundamental concept of duality and tensorial description. Then we apply these notions to electromagnetic situations, including near and far field, and guided waves. Step by step, these considerations lead us to a generic description of any EMC problem through graphs and a system of equations. The couple: graphs plus equations, can be seen as a manifold. The EMC work is then seen as a control of a collection of manifolds, topologically sewed for making a system. Some undesired interactions appearing in this construction must be reduced, or avoided through warning techniques in the sewing. A simple example will be presented to illustrate all the concepts evocated.
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- Date: 23 May 2023
- Time: 02:00 PM to 03:00 PM
- All times are (UTC+02:00) Bern
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- EPFL, Rte Cantonale
- Lausanne, Switzerland
- Switzerland 1015
- Building: ELA2
- Room Number: ELA2
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- Co-sponsored by EMC Lab EPFL
- Starts 01 March 2023 10:41 AM
- Ends 23 May 2023 10:00 AM
- All times are (UTC+02:00) Bern
- No Admission Charge
Speakers
Dr. Olivier Maurice of Ariane Group
Proposal of a mathematical formalism for EMC, based on tensor analysis of networks
Starting from a general lagrangian approach, we introduce the fundamental concept of duality and tensorial description. Then we apply these notions to electromagnetic situations, including near and far field, and guided waves. Step by step, these considerations lead us to a generic description of any EMC problem through graphs and a system of equations. The couple: graphs plus equations, can be seen as a manifold. The EMC work is then seen as a control of a collection of manifolds, topologically sewed for making a system. Some undesired interactions appearing in this construction must be reduced, or avoided through warning techniques in the sewing. A simple example will be presented to illustrate all the concepts evocated.
Biography:
O. Maurice works on the tensor anlaysis of networks since 1988. Author of more than two hundred papers and five books on the subject, he has developed the concept of cords extending the formalism to complex interactions, including multiphysics as game theory. O.Maurice has a doctorate of science in electronics.