ENERGY AMPLIFICATION

[arhitrade]

Parametric resonance as an energy amplifier.

[Floor]

1. Resonaces can combine in either a destructive or an additive manner, or, they can
combine, alternating, over time, between a destructive or an additive manner of
combining.

             Given that the frequency, speed, and amplitude of two waves are identical.

When two waves arrive at a same location, all or some of, their wave peaks and wave troughs
may be aligned. 

When a wave peak of one wave, is perfectly aligned with a wave trough of the other wave,
the waves cancel each other. 
                             Examples:
          Two persons whip a jump rope, each from the opposite end of the rope. 
          When a wave sent down the rope encounters a wave from the other end,
  A.  If a trough encounters a peak the rope falls to the ground.
  B.  If either, two peaks or two troughs meat, the rope motion expands.  Either toward
        the ground or away from it.

2. Resonaces can be present within a medium and have what is essentially
no interaction.
                             Examples:
   A. Turning up brightness of the light in a theater, neither measurably diminishes nor
increases the loudness of the sounds coming from the stage.
   B. Changing the color of the light in a theater, neither measurably raises nor lowers
the pitch of the sounds coming from the stage.

3. A given frequency can interact with a given body to cause other frequencies to
emerge from that body.
                             Example:
    A. infra red light frequency can be absorbed into an object and transform into the
frequencies at which molecules can resonate (infra red energy becomes kinetic / heat energy).
... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
Wave resonations (echos), within a body can combine with each other (constructively and or
destructively).
Wave resonations (echos) within a body can combine with additional waves entering that body
(constructively and or destructively).

When wave troughs of two different frequencies combine, a third frequency emerges at
a lower frequency than either of the two original frequencies.  That third frequency can
itself, sometimes resonate (echo) within that body.

Complexes of  frequency interactions can combine to cause, low frequency but very
large peak and trough waves.  The size of these waves can match / harmonize / resonate
in a size (peaks and troughs, amplitude) which we would recognize as / see as physical motions.

That high amplitude low frequency wave may again be harmonic to some aspect or scale of the
body they are interacting within (echo).

Bridge and building collapses can occur. But there is no more energy present than was put in.
It seem to me that there is no excess of energy available from resonant phenomena itself,
nor from "energy amplification".

4.  But some additional and/or other form of energy might be shaken out of a body due to
resonance. 
                      Example:
   4 A. Some specific chemical reactions, like burning, require energy input as a frequency
which we recognize as heat, before they will occur. 

[nix85]

I guess this is a good place to remind energy of a wave (any wave) is amplitude squared, when you add two same waves together amplitude becomes double, guess what happens to energy.

For more "Violation of the Law of Energy Conservation in Wave Fields" by Janos Vajda.

[Floor]

The energy of a mechanical wave depends on both, its amplitude and its frequency.

If we consider the kinetic energy contained in one wave length (peak to peak),
(of a given amplitude) as a discrete packet of energy, a higher frequency wave will
deliver more of these packets per unit of time than a lower frequency wave (of that
same given amplitude). Each packet contains the same amount of energy but more
power is present (average energy per unit of time)
                      but also
If we consider the kinetic energy contained in one wave length of a given amplitude
as a discrete packet of energy, a higher amplitude wave will deliver more energy per
unit of time than a lower amplitude wave of the same frequency.

The average rate of energy transfer in mechanical waves is proportional to either
the square of the amplitude,    or    the square of the frequency.
... ... ... ... ... ... ... ... ... ... ... ... ... ... ...
If two mechanical waves have equal amplitudes, but one wave has a frequency of twice the
frequency of the other wave, the higher frequency wave can transfer energy four times greater,
in a given interval of time, than the lower frequency wave can.
                          and...
If two mechanical waves have equal frequencies, but one wave has an amplitude of twice the
amplitude of the other, the higher amplitude wave can transfer energy four times greater,
in a given interval of time, than the lower amplitude wave can.

                         Unless...
One simultaneously decreases the other factor by one half.

Double the frequency but cut in half the amplitude, or, double the amplitude and cut
the frequency in half.

                      But keep in mind that,  otherwise ....
It requires 4 times the energy INPUT to create a wave of double the amplitude,
if the frequency remains the same.
                                  and
It requires 4 times the energy INPUT to create a wave of double the frequency,
if the amplitude remains the same.
... ... ... ... ... ... ... ... ... ... ... ...
Much of the above, applies only to mechanical waves and not to electromagnetic
forms of energy.

[nix85]

Of course higher the frequency higher the energy, this is perfectly assumed, photon energy being frequency times Planck constant.

Point being that two waves of any same frequency when superimposed will produce a wave of x4 the energy content, that is, x2 the overall energy of the two waves combined.

For example if 2 waves have amplitudes of 2 and each energy of 4, when superimposed amplitude of the new wave is 4 and energy is 16.

This has already been discussed here in 2016.

https://overunity.com/16698/free-energy-from-electromagnetic-wave-fields/

And back in 2007.

https://overunity.com/3068/the-return-of-the-hungarian-free-energy-from-wave-fields/#.V3P-dU-uAtU