Quad 6,
I am not sure exactly what you are asking but I will give it a shot at answering what I think you are requesting.
Now, as a general rule, the shorter the delay, the greater the signal to small gold, including small gold rings. Unfortunately, getting below 10 usec is extremely tough so it is generally the minimum delay on many top end PI's. Also, when searching for small gold rings, the pulse length doesn't need to be that long.
As for when the second sample should be taken, well, the main object of the second sample is to eliminate the earth field effect and reduce low frequency noise, so any timing distance greater than that at which the primary target signal is minimal so it not cause any significant target signal loss will work fine. In simple terms, on small gold rings, most target response is gone by 60 to 80 usec. So, any distance greater than this should work fine. If you are designing this detector, then you might want to verify just when the primary target response is minimal. This is simple to do. Simply make the main sample delay variable out to something like 100 usec and check the target response as you advance the delay that far.
BTW, the Goldquest by Eric Foster ran at a 10Khz rate and it is well known for finding small gold rings. This meant that all signals had to happen in 100 usec. With a delay of 10 used then 30 usec for the transmit pulse, then another 10 usec delay before the first 10 usec sample, it didn't leave much time for the next sample. Since the last sample was also 10 usec, then the total distance between the two samples was 40 usec if my math is correct.
Personally, I feel the minimal timing distance between the two samples can even be less and not affect the depth much at all.
One of the reasons for having a frequency control is to adjust the timing variables, one of which is the sample timing including the time between the two samples. Ideally, being able to adjust the frequency and then adjust the secondary sample timing would probably give a little more help with some noise.
So, to answer your question about a sweet spot between the timing between the two samples is going to be a variable and dependent upon the local EMI noise. In other words, I don't think anyone will find a single timing distance between the two samples that works the best everywhere.
I am assuming you are also referring to a simple straight PI with no ground balance, because such a device further complicates this timing issue.
Reg