Ian White GM3SEK wrote in
:

Ian, an excellent and quite comprehensive treatment.

Sal,

Some folk will try to distract from an adequately accurate approximation
(being the steady state solution) by wanting to descend to a time domain
solution which as you note converges to the steady state solution in
time, but is much more complex to solve.

The relevance of steady state solutions is demonstrated by the
traditional methods of designing transmission line transformers (eg
quarter wave match), stub matching schemes, the application of the Smith
chart etc. These things are only valid on applications where a steady
state solution is valid, and the widespread use of them attests to the
widespread existence of systems that are quite adequately analysed by
steady state methods.

Most ham applications are ones where the highest modulating frequency is
very small wrt the carrier frequency, and are emminently suited to steady
state analysis.

Similarly, consider that when steady state analysis is not appropriate,
then many of the devices mentioned above may be inappropriate as they
will cause distortion of the signal.

Owen