It's possible to scale everything so that during the main part of the "transmit pulse", current is relatively constant without having to throw in extra resistance. Explaining:
Say the coil is 1 millihenry, and assume no resistive losses anywhere. Its response is 1 ampere per volt-millisecond. If we apply 100 volts for 10 microseconds, we'll have 1 ampere.
Looking at it in terms of current, since the current ramped from zero to 1 ampere, the energy drawn from the 100 volt supply was 5 ampere-microseconds.
If at this point we short out the coil (i.e., apply zero volts), the current will continue at 1 ampere indefinitely.
If we apply 10 volts, the current will continue to ramp up at the rate of 10 milliamperes per microsecond. If we keep the thing turned on for 40 microseconds more, the current will ramp up to 1.4 amperes.
On flyback, if we clamp it to 100 volts, the duration of flyback will be 14 microseconds. Over those 14 microseconds, 1.4 amps will ramp down to zero. In terms of current, the energy put into the 100 volt supply during flyback was 9.8 ampere-microseconds. We came out ahead 4.8 ampere-microseconds compared to what we used up for jumpstart.
Notice in this example that we dumped nearly 100% more energy out of flyback, than we originally used to get the thing jump-started. Also note that of the 1.4 amperes delta current that happened during the total 50 microseconds transmit on-time, 71% of the change happened in the first 20% of the transmit duration.
It isn't a perpetual motion machine. The current through the transmitter switch starts at 1.0 amperes and ramps up to 1.4 amperes over 40 microseconds. From the standpoint of current, the energy drawn from the 10 volt supply is 1.2 amperes x 40 microseconds, or 48 ampere-microseconds. If you convert it to joules, it's equal to the energy difference between the flyback and the jumpstart, there being a 10:1 difference in the voltages.
Of course no system has zero loss. What I'm trying to illustrate using a simplified example is that the objective of keeping current relatively constant over most of the transmit period can be achieved without deliberately introducing losses, and with careful design, the efficiency could be limited primarily by the Q of the coil.
It is advantageous to have a large ratio between the high voltage and low voltage supplies. If everything is scaled so at the end of the jumpstart pulse, the voltage being dropped across the resistance of the coil is equal to the low voltage applied during the main transmit pulse, then the net voltage dropped across the reactance will be zero and the current will remain constant. If the coil circuit resistance is 3 ohms and the sustaining current is 2 amperes (just as an example), the system would be scaled to apply 6 volts during the main transmit pulse. (In most cases you'd apply a little overvoltage to make up for losses elsewhere in the system, rather than inject the extra energy elsewhere.)
--Dave J.