Eric, thank you for your post.
Here are several lines of reasoning which lead me to the conclusion that the transmit pulse in a conventional PI is a "waste of energy from the target's point of view".
REASONING FROM SIGNAL POLARITY
I think we all agree that in the case of a low-conductivity target, the flyback pulse is what kicks the target. The kick from the transmit risetime occurred too far back in time to have any effect.
The voltage induced in the target by the transmit risetime is of a polarity opposite that induced in the target by the flyback pulse. Therefore, whatever happens in the target during transmit risetime is opposed to what happens during flyback.
If the transmit were more important for high-conductivity (or iron) targets, then the polarity of those signals during the receiver period would be opposite that of low conductivity targets. The thing would be a natural discriminator.
Our actual experience is that the polarity of high-conductivity target signals is the same as that of low-conductivity targets, and that PI's are not natural discriminators.
This means not only that it's the flyback that kicks the target, even for high-conductivity targets; it also means that whatever happens in the target during the transmit risetime actually reduces sensitivity. The transmit risetime is a necessary evil, not a principle of operation.
REASONING FROM TIME-VOLT PRODUCT
The current induced in a high-conductivity target is, to a first approximation, proportional to the voltage induced in the target by the field (i.e., the rate of change of transmit current) and the duration that the voltage is applied. In other words it corresponds to the time integral of induced voltage.
The field strength (i.e., current) established during the transmit period equals the field strength (current) which gets reduced to zero during the flyback. Another way of saying the same thing is that the current at the end of the transmit on-time equals the current at the beginning of the flyback, since those two things happen at the same instant. The inductance is the same in either case; therefore the volt-time product is the same.
When the receiver is turned on, the volt-time product of the flyback is something that happened a lot more recently than the volt-time product which happened during the transmit period. The difference between the two things is what the receiver will see, and the effect from flyback will always be greater than the effect from the transmit risetime.
THE EVIDENCE OF ACTUAL PI TRANSMIT RISETIME CUSTOMARY PRACTICE
In the interest of efficient conversion of battery watts to field strength, it would seem to make good sense to operate the transmitter coil at a moderately high Q, in other words, constant current slope.
What actually happens when you do this, is that the sensitivity to high-conductivity targets is really lousy. If you want to preserve good sensitivity to high-conductivity targets, you have to stretch the transmitter timing out so far that in typical PI practice (as I gather from reading patents etc.) the transmit coil actually approaches resistive current limiting. From a power efficiency point of view, this is terrible, but it's what ya gotta do to see those big deep targets.
In VLF detectors, having good transmitter Q is considered important. In conventional PI practice, there is much less concern for Q. The reason is that engineers have discovered that raising the Q of the transmitter coil does not offer the kind of improvement in sensitivity versus power consumption that one would expect based on analogy to VLF practice.
Apart from any theoretical reasoning behind it, that's what the actual conventional practice is, as I understand it. The rule of thumb you offer in your post is "5 times the target time-constant".
Now to the theoretical reason behind it. If it were the transmit risetime that energized the target so that it could be detected, one target time-constant would be the point of diminishing returns. You'd want to get that sucker kicked and then look at it as soon as possible. But anyone who tries this discovers that it doesn't work very well at all.
The reason it takes several time-constants, is because you need to give the target time to forget what happened during the transmit risetime. This happens best if the rate of change of current in the transmitter tapers off and approaches resistance current limiting, allowing the eddy current induced by the transmit current rise to decay back down to relative insignificance.
Modern coin-beach type PI's tend to use shorter transmit on-times and faster rep rates, in order to get good sensitivity to jewelry and acceptable sensitivity to the common coins. What happens on a US silver dollar doesn't matter much to a coin-beach machine, since there are very few silver dollars found on beaches.
The second paragraph of your post provides a clear and detailed description of these phenomena and how they relate to customary industry practice.
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In the third paragraph of your post, you point out that due to skin effect, it takes time for a signal to penetrate to the bulk interior of a large conductive target. Although I agree with this, it does not lead me to the conclusion that transmit pulses have to be of long duration so that the target will be completely energized.
The actual field strength of the transmitter does not induce eddy currents in the target, nor does the actual eddy current in the target induce a voltage in the receiver. It is only the rate of change of the transmitter field, and the rate of change of the current flowing in the target, that matter. No change in current/field, no induction, regardless of how strong the field or the current might be.
When a high-conductivity target is energized to its center by a long-duration transmit pulse, the currents flowing in the target are already diminishing because the transmit field itself has a rate of change which is diminishing. That rate of change was never very high anyway, since the applied voltage to the coil was just battery voltage. If you were able to look at the target signal component without it being disturbed by flyback, the target signal would be weak because the current has stablized and its rate of change is low.
Now, hit it with flyback. Sudden high rate of change of field, a solid chunk of volt-time product that happened only a few microseconds ago. Substantial current is now flowing in the surface of the target. At the end of flyback, this substantial current flowing in the surface of the target redistributes itself quickly into thicker layers of the target, reducing the resistance in the current path and lengthening the decay time-constant. Even though the target is a high-conductivity one, it starts out looking like a physically large low-conductivity target, enabling it to induce a large voltage into the receiver coil. This is the physics behind the rule-of-thumb observation that in PI, it's surface area that counts, not mass. It has as much to do with how PI's are built, as it does with the properties of targets.
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The fourth paragraph of your post says that "the flyback pulse in a conventional PI... is not something that is transmitted to the object." I would disagree. The flyback pulse is what collapses the field, producing the high rate of change of field needed to induce eddy currents in the target close enough in time to the receive period that the receiver will have something substantial to look at. Without flyback, a conventional PI would be nearly useless from the standpoint of sensitivity. (Not that there is any way to avoid flyback in a conventional PI.)
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The UTEM system sounds like it may be something a bit similar to the PI system I'm proposing.
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I expect people to argue over whether or not this should be called "pulse induction". For sure, it is neither conventional PI nor Fisher PI. But the basic idea of hitting the target with a pulse and then taking a look at what happened, in a time sequence, that's pulse and it's induction. The underlying thinking (if not the circuit topology) is from the PI camp, and is quite different from that of VLF/MF practice where signals are treated as continuous.
Figuring that this system needed a name, I decided to call it "continuous current pulse induction" to distinguish it from the prior art discontinuous current PI systems. Maybe someone else will suggest a better name for it.
--Dave J.