Kicks explained

[Grumpy]

In an effort to be deliberately vague, I would venture a guess that Tesla didn't use this sort of coil for a stronger m agnetic field.  For this he could have just used more layers like a conventional solenoid.   Nope, he had something else in mind. 

He would hit this coil with an impulse and what went in was not the same as what came out.

Going further into the realm of speculation, Tesla speaks of th is arrangement in the Colorado Notes as a means for storing energy - to me this means he was compressing - compressing the energy of the impulse to some rediculous level rarely encontered - venture further intot he rabbit hole, if self-induction exudes energy, self-copacitance must absorb it - and then he would release it and all hell would break loose in the excited coil.

So, by a clever arrangment of wire, Tesla achieved an unimaginable level of energy compression.

[sparks]

   @Grumpy

    I'll go down the rabbit hole with ya.  Say you hit the coil with some high freq.
As much as a motorized spark gap can give you.  The coil takes every wave and holds on to it no radiation.  No resonating just keep pumping it in. Until you see little corona discharges from turn to turn.  You got yourself one hell of a capacitor at this point.  What do you do next?

[Grumpy]

   @Grumpy

    I'll go down the rabbit hole with ya.  Say you hit the coil with some high freq.
As much as a motorized spark gap can give you.  The coil takes every wave and holds on to it no radiation.  No resonating just keep pumping it in. Until you see little corona discharges from turn to turn.  You got yourself one hell of a capacitor at this point.  What do you do next?

You ranalogy is not exact, as the energy we speak of is dynamic at this point, but moving forward for the good of all, you take this compressed energy and like a hammer, you hit a coil with high self-induction and absolutely minumal self-capacitance.  The means a coil that has a diameter equal to the height - one layer solenoid - spacing included in height - for the quick rule of thumb.  Self-capacitance will restrict the effect - as this energy is released in this coil there is a magnification of the input energy due to the self-inductance that "defies analysis" - because we lack the understanding of this to apply math to it .  Dollard applied much of Steinmetz' knowledge to this and still came up short.

[sparks]

@Grumpy

     I think the coil the one with high self-capacitance would be capable of forming a resonate circuit in and of itself.  The energy therefore is fluctutating between current and capacitance within the coil field itself.  Dynamic. 
  So any energy input gets caught so to speak in the coil and compressed into the resonating field.  Now if this coil is also a collector or receiver antennae oh boy you have the whole shooting match with just one coil.

[Grumpy]

I'm going to crush a misconception:

Everyone that hears the name "Tesla" clings to "resonance" as the explanation to everything.  It isn't.  Tesla used other means besides resonance.  He even went so far in an interview to state that while you could build up energy with resonance, that is is easier to use a few turns in a secondary.

When Richard Hull describes the Tesla Magnifier, which he and his group persued for the purpose of maximum spark length, he states that the MT is not resonant and that all the 1/4 wave stuff does not apply.

Travel back in history to the time when they use "shock excited" circuits and you see that the frequency of the working circuit is not the same as the exciting cirucit and the two - while coupled - are indepenedent.

So, back to the subject in question, we take this freaking huge spike of energy that we have modified (the term "stored" isn't wuite right for such a temporary storage) in the secondary, which has high-selfcapacitance, and use this "Hammer of Thor" to ring the coil that has the high self--inductance.  This is still rather analogous since te coil is not a bell, but is a combination of conductor and dielectric.  "Bell" is easier to grasp.