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Propagation of electromagnetic waves in a vacuum

  • School / Prep

    PREPA DES INP

Internal code

JP3PROEL

Description


Maxwell's equation, electromagnetic energy and the notion of magnetic ARQS.

Maxwell's equations:

Know and use Maxwell's equations in local or integral form. Know how to name them Maxwell-Gauss, Faraday, Ampère and Thomson.
Know the local charge conservation equation.


electromagnetic field energy:

Know the expression for the electromagnetic energy density
Know the expression for the Poynting vector
Know the expression for the power density transmitted by the electromagnetic field to moving charges
Know the local conservation equation for electromagnetic energy.


Notion of magnetic ARQS:

Define magnetic ARQS as a deviation from magnetostatics.
Simplify Maxwell's equations and the local charge conservation equation accordingly




Propagation of an OPPH in vacuum (unlimited)

Spectrum and applications, Maxwell's equations in vacuum, wave equation, dispersion relation, field structure:
electromagnetic field energy, Poynting vector:


Reflection on a perfect conductor/guidance (limited vacuum)

Reflection at normal incidence of a rectilinearly polarized OPPH on a perfect conductor plane, standing wave, application to one-dimensional cavities:

establish the expressions of the reflected fields (the transition relations being given and admitted).
Express E and B fields in a vacuum. Highlight the fact that the superposition of the incident and reflected OPPH is not an OPPH.


Oblique-incidence reflection of an OPPH-PR on a perfect conductor plane

Guided propagation of a TE wave Express the TE electric field guided between 2 parallel perfect conductor planes.
Propagation eigenmodes
establish the relationship between k and ! in the guide. Compare with unlimited vacuum. Modal dispersion.
Demonstrate the existence of a cutoff pulsation below which there is no further propagation for each mode.
Phase and group velocity.
Show that the wave is not transverse magnetic for a TEm mode.




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Teaching hours

  • CMLectures6,67h
  • TDTutorial12h
  • TDMMachine Tutorial1h

Further information



Maxwell's equations, electromagnetic energy
Propagation of a harmonic traveling plane wave in a vacuum
Reflection off a perfect conductor/guidance

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Assessment of knowledge

Initial assessment / Main session - Tests

Type of assessmentType of testDuration (in minutes)Number of testsTest coefficientEliminatory mark in the testRemarks
Integral Continuous ControlProctored homework1