2.1 MAXWELL’S EQUATIONS AND BOUNDARY CONDITIONS FOR ANTENNAS:

 R.E.COLLIN-ANTENNAS-p.14

 Eletric Field:          

each component, such as , is a complex function of the form:

if the real physical eletric field is required, it may be obtained by multiplying  by  and taking the real part, that is

wich gives

 for the x component of the physical field.

Maxwell’s equations:    (Faraday’s law)    (2.3.a) (Generalized Ampere’s Law) (2.3.b)   (Gauss’ Law) (2.3.c)   (continuity of magnetic flux) (2.3.d)   (continuity law)  (2.3.e)

eletric field

magnetic intensity

eletric displacement field

magnetic flux field

In a free-space environment (vaccum) the constitutive relations are

  (2.4.a)

  (2.4.b)

R.E.COLLIN-ANTENNAS-p.19