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title: "Overview of previous studies"
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## Reflected and transmitted electromagnetic waves at interfaces
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#### Chapter 1
### Overview of previous studies
<br>
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#### 1.1 - Introduction
##### Operators :
##### The gradient
##### The curl (le rotationnel)
##### The Laplacian
##### Divergence and curl theorems
<br>
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#### 1.2 - Maxwell equations
##### Sources of electric field
##### Lorentz Force
##### Maxwell equations in vacuum
*Differential form*
*Integral form*
*A few remarks*
##### Wave equation
##### Electromagnetic energy
<br>
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#### 1.3 - Solution to the wave equation & planes waves
##### Phase velocity
##### Group velocity & Wavepackets
![]()
_Figure_
![]()
_Figure 1.3 : Wavepackets resulting from the superposition of plane waves with different amplitudes._
![]()
_Figure 1.4 : The phase and group velocities of a wavepacket composed of two plane waves_
_with different phase velocities._
##### Polarisation of a plane wave
<br>
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#### 1.4 - Radiation to a point charge
<br>
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