Cecil Moore wrote:
Jim Kelley wrote:

Cecil Moore wrote:

Sorry Jim, but [Io*cos(kx)*cos(wt)] and [Io*cos(kx+wt)] *ARE*
different.


Evidently, you can't recognize a trig identity when you see one.


One really should take a look at the math before waving one's
hands and opening one's mouth in ignorance.

Please enlighten us as to exactly what trig "identity" will make
the following terms equal.

E1*e^j(wt-kx) ?=? E2*e^j(wt-kx) + E2*e^j(wt+kx)

Seems to me the only condition for which they are equal is when
E2=0, i.e. when reflections (and therefore standing waves) don't
exist.

The purpose of pointing out the trigonometric relationship between the
sum of sines and the product of sine and cosine was to illustrate
that, contrary to your assertion, there isn't a difference in the
waves. The traveling waves can either be written mathematically as
two separate traveling waves, or as one standing wave. It makes no
difference; the waves are the same in either case irrespective of how
you choose to describe them mathematically. Do you grasp the meaning
here, or not?

Thanks,

ac6xg