This is an attempt to explain the resonating cndition that is evident on our circuit. I'm not sure how 'classical' is this explanation. But it is certainly in line with what is seen and measured. And it is also in line with the 'thinking' which is now the preferred euphemism for 'thesis'. LOL.
The 'diagram' schematic has been included now. Technically the schematic should include a resistor and inductor in series but, as we're addressing the properties of inductance will leave it as it is.
Also, the waveform samples show a a triggering on the negative cycle. When this is combined with that resonating frequency it has very beneficial results to the co-efficient of performance. I'll add more on this later.
ON RESONANCE AND THE CIRCUIT CONFIGURATION TO ALLOW THIS AND AS IT RELATES TO THE POLARITY OF ELECTRIC CURRENT
The following assumptions are made. Magnetic fields comprise the material property of magnetic dipoles that are hidden from view as they exceed light speed and therefore, in a field condition, they are invisible. All magnetic fields obey an immutable imperative to move to a condition of best charge balance. Voltage is the measure of the potential difference in magnetic fields that are in a transitional stage of imbalance. Current flow comprises magnetic fields that move at 90 degrees to the applied voltage. Current flow moves to discharge potential difference from a voltage or supply source. Both current and voltage comprise magnetic dipoles in fields that are aligned in a sympathetic charge relationship to secure a balanced charge condition in their field.
Therefore, voltage is a measure of localised potential difference or magnetic imbalance. Current flow is a non-localised measure of the rate at which the voltage or potential difference is able to discharge that potential difference through a circuit. Therefore current flow relies on the material inductive and conductive conditions of a circuit path to enable its flow. Conversely voltage, as a localised measure of the material charge imbalance, can be regarded as a store of potential difference of electromagnetic energy.
Voltage can either be positive or negative depending on its orbital justification around circuit material components. Convention has determined that this is measured in relation to a zero reference where positive, above zero, would generate a current flow in a clockwise direction and, conversely, negative, below zero, would generate a current flow in an anti-clockwise direction. Therefore there is a consistency in the field distribution of charge, where the positive clockwise will lead with the positive of the field. And conversely, the negative anti-clockwise will lead with the negative of the field.
The function of the transistor in this circuit is to allow a small charge from a signal generator (or similar) onto the gate sufficient to block the path of current flow in the circuit. Therefore, if the flow of current from the signal generator to the gate is positive then, when a positive signal of sufficient strength is introduced to the circuit path, the transistor will block the positive flow of current from the supply battery. During this period the positive voltage supply source can no longer deliver a current flow and the circuit is, effectively open relative to that supply.
If the signal applied to the transistor gate is then changed to negative or neutral it will allow the flow of a positive current in the circuit. Conversely the gate will block any flow of current that leads with a negative charge. However, in this circuit configuration the transistor used has an internal body diode that allows the passage of current that is negative or that leads in an anti-clockwise direction with a negative charge. Effectively therefore the circuit is configured that it is intermittently open to a positive charge as is determined by the applied positive charge at the gate of the transistor. And it is permanently closed to allow all conditions of negative current flow through its body diode.
Therefore, provided only that there is a negative voltage induced as a consequence of the prior discharge of a positive current from a positive voltage then there will always be a path for the flow of that negative current enabled by that Zener body diode at the transistor switch.
When the applied signal charge at the gate defaults to negative charge, then there is nothing to prevent the flow of positive current from the potential difference across the circuit components. These collapsing, positive voltage fields generate a clockwise current flow that moves through the gate to complete their orbit at their respective localised terminals.
The amount of discharge relates precisely to the amount of current that, in turn, relates to the level of voltage that was first applied by the positive voltage supply sources including the supply and the inductive/conductive material of the circuit components. But when that potential difference is discharged it again collapses to zero and in changing it induces a reverse voltage or potential difference measured as a negative voltage. This is determined in line with Inductive Laws where changing electric fields induce a magnetic field. And changing magnetic fields induce an electric field.
A voltage collapsing to zero represents a changing magnetic field. This, in turn, develops an opposing voltage that is generated in anti phase and can be seen as a negative voltage. And this, in turn, induces an anti clockwise current flow that is able to move through the internal body diode, which, as mentioned, is sympathetically charged to permanently enable this current flow polarity.
The signal at the transistor gate changes to allow positive clockwise current flow from the battery through the circuit. A corresponding positive voltage is developed across the conductive and inductive circuit components. And this persists until the circuit is again opened by the imposition of a blocking positively biased charge at the gate. And so the cycle is repeated.
Therefore the resonance that is evident during the period when the gate signal is negative (bidirectional current flow) is also allowed only if there is the assumption of a dual charge property in the material of both voltage and current and if there is also a prior assumption of a material property in those magnetic fields. Only on the basis of this assumption can one then explain the evidence of resonance where the voltage is seen to persistently induce a counter phase voltage and its consequent current flow to discharge that voltage.
The level of resonance would be determined by the availability and size of path that is provided by the body diode during the discharge of negative current and by the resistance provided in circuit components. The negative path through the body diode would need to be sufficiently wide to allow for the unrestricted flow of current in the negative or anti-clockwise direction to secure that resonating condition. With this proviso, then the rate at which voltage collapses and regenerates, would be determined by the material where the voltage is localised. In the samples referenced it is evident that this occurs at approximately 1 MHz.
When the voltage on circuit components collapses, they induce a corresponding current flow that is seen in anti phase to the initiating supply source. In this circuit example the supply is a lead acid battery. Therefore, while open circuit conditions apply then a negative anti clockwise current flow will increase the potential difference at the supply thereby representing a recharge cycle. And the consequent and induced positive voltage will decrease the supply thereby representing a decrease of voltage to the supply. If the amount of current flow delivered during the negative cycle is in excess of the amount of current flow delivered during the positive cycle then there will be a net recharge to the battery supply source commensurate with that measured excess.