Component
École Nationale Supérieure d'Électrotechnique d'Électronique d'Informatique d'Hydraulique et des Télécommunications
Objectives
Know how to physically analyse the electromagnetic properties of guiding structures and cavities
Know how to calculate the power carried and the energy stored in guiding structures excited by electromagnetic field sources
Know how to establish and numerically solve the dispersion equation for any guided structures
Know how to establish and numerically solve the resonance equation for any cavities
Description
I- Modal representation of the electromagnetic field
I-1- Orthonormal modal basis in guided structures
I-2- Modal representation of the electromagnetic field
II- Symbolic representation of closure and transition relations in electromagnetism
II-1- Symbolic representation of closure relations
II-1-1- Dipole for the representation of an infinite half-guide
II-1-2- Dipole for representing a short-circuited half-wave guide
II-1-3- Quadrupole for representing a section of guide
II-1-4- Application: maximisation of the power delivered by a harmonic current source
in a waveguide
II-2- Symbolic representation of the transition relations imposed on the electromagnetic field
when crossing a surface
II-2-1- Virtual electromagnetic field sources and their dual quantities
II-2-2- Quadrupole for representing any surface
III- Formulation of boundary value problems without real electromagnetic field sources
III-1- Equivalent diagram of guiding structures without real sources
III-1- Formulation of boundary value problems based on Kirchhoff's and Ohm's laws
IV- Solving boundary value problems without real electromagnetic field sources
IV-1- Galerkin method with a virtual source test function
IV-2- Application No. 1: dispersion equation of a microstrip line
IV-3- Application No. 2: dispersion equation of a ribbed guide
V- Prospects in the field of electromagnetic modelling of guided structures
Pre-requisites
The subject ‘Guided and free space propagation’ (Apogée code N7EE09A1)