Re: Duty cycle and Even Harmonics

"
A waveform that contains any even harmonics must have a sloping rise and fall time and there will not be a sharp rising or falling edge by definition.
"

Nope:
http://en.wikipedia.org/wiki/Sawtooth_wave

http://mathworld.wolfram.com/FourierSeriesSawtoothWave.html


The sawtooth harmonic amplitudes fall off much more slowly than with the square wave, making a sawtooth a better Zapper signal in terms of harmonic field energy levels. As you've pointed out, more harmonics means less energy-per-harmonic, but there is nothing in Clark's work (or anything directly derived from it) that idicates a minimum effective field strength or current at the upper harmonic frequencies.

And (sorry, dude), you're 0 for 2; a triangle wave has no sharp edges and only odd harmonics. Counterintuitive, but still:

http://en.wikipedia.org/wiki/Triangle_wave


ak