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The TEM Field
The Maxwell TEM electromagnetic field components relative to the o.n.
cylindrical coordinate basis, the corresponding vector potential and
its source have been consolidated into Table .
Table 6.6:
The
system: All components of any
e.m. field
are derived from a single master scalar function,
the difference
between the two scalar functions.
Even though both, separately, are necessary for the definition of
the
vector potential
, it is only their
difference which is
determined by an inhomogeneous Poisson equation and an
inhomogeneous wave equation,
Eqs.(6.88) and
(6.89).
Potential 








Electric Field 





0

Magnetic Field 





0

Source 









The underlying master scalar is the difference function
.
It satisfies the two separate equations.
The first is an equation for the twodimensional amplitude profile in the
transverse plane,

(688) 
The second is the equation for the propagation of this profile
along the
direction,

(689) 
these two equations are consistent because the source satisfies
the charge conservation law
which is the polar coordinate version of
Eq.(6.67).
Next: Spherical Coordinates
Up: Cylindrical Coordinates
Previous: The TM Field
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Ulrich Gerlach
20101209