Hi Jim
Well here I go again repeating myself, Eric must get tired of this, but to sum up, you got ferrous, ground and goodie signal in both pulses.
The coil inductance, coil resistance, etc all go into the equation as to the specific geometry of these two transmit pulses. Sawtooth waveforms instead of nice square waves.
These items also effect the geometry of the return signal, fast or slow amps (wrong amp) get their bite on the signal and add some random noise and bit of distortion (whoops). Course you got to make some decisions (compromises) on battery life and weight of a product someone is going to buy (cost)(cheaper amp).
Of course all this is in addition to way the metals actually react. So a nice theorical equation in a patent is good proof to argue about in court, but then implementing this dream can be another story. All sounds good on paper, but in practice always another story.
More decisions about what is small ferrous or what are ground changes. Make it work for objects close and far. Quite a challege to do perfectly, still a few things left to clean up.
Still believe you will get the biggest return signal for a large gold nugget or silver dollar with the longer pulse (up to a point, and then the same). Could be wrong depending on what has been built. But the detector has to work for large objects too. In fact the detector needs to have about an 80 to 100 db dynamic range. (My opinion).
I use litz wire and can tell the difference for a very large (52 inch octagon coil)(nothing magic about the octagon, just could get the 45 degree CPVC joints) over 18 gauge teflon wire. The litz is equavilent 17 gauge. Single coil. (no it is not the difference in gauge or resistance). It is faster. And therefore I get a slighty greater difference signal.
About 10% difference in range, (many yards) for large objects (buddy's Jeep Grand Cherokee). This is an air test.
JC