Chapter 5Electrical Equivalent Circuit of a PrintedAntenna 1

 

 

 

5.1. Energy considerations

Let us consider a medium of permeability μ0, complex permittivity ε=ε′-jε″, and conductivity σ, containing one or more electrical sources labeled Ji (Figure 5.1). We know that Maxwell's equations for time-harmonic fields notably lead to the following two relationships:

[5.1] images

[5.2] images

where ω is the pulsation. After some effort, we can extract the energy conservation equation from equations [5.1] and [5.2]]:

[5.3] images

in which the volume (V) is contained within the closed surface (S).

Note that:

[5.4] images

[5.5] images

[5.6] images

[5.7] images

[5.8] images

[5.9]

where Pf is the total power provided by the sources at volume (V), P

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