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Wave Articulation Matrix

Electromagnetic Resonator.
Golden Ratio Logarithm.

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Golden Ratio Geometric Series of sidebands.


The structure is excited with RF by winding a ''primary'' coil around the tall pointy end of the structure.  The ''secondary'' is the split-ring at the wide end of the structure.

The structure has the form of a Hyperboloid.  Italian physicist and mathematician Evangelista Torricelli called this shape ''Gabriel's Horn''.

It can be thought of as a 3D ''cross - section'' of a shape which exists in more dimensions.  See the book ''Flatland'' by Edwin Abbott Abbott for more insight.

To Do:

1.  Impedance Measurements with VNA

2.  Frequency Sweep and RF average power measurements

Full Design Specs, Videos, Graphics, Mathematical explanations here:

spaz.org/~magi

wiring.jpg

Wiring Diagram. Class A amplifier fed by signal generator. ''Primary'' winding, which excites the structure, is in series in the Collector circuit of the amplifier.

JPEG Image - 547.91 kB - 08/26/2018 at 20:02

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dimensions-decimal.png

Decimal dimensions for 4+1 element array. 3 in. OD central element.

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dimensions-algebraic.png

Algebraic dimensions for 4-element array.

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dimensions-8.jpg

Algebraic dimensions for 8-element array.

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dimensions-decimal.dxf

Dimensions, Decimal. CAD file. 3 in. OD central element.

AutoCAD DXF - 27.68 kB - 08/26/2018 at 19:59

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  • 1 × 2N2222 Discrete Semiconductors / Transistors, MOSFETs, FETs, IGBTs
  • 1 × 18 Gauge mild steel
  • 5 × .1 uF capacitor capacitor
  • 1 × 820 ohm resistor

  • 1
    Seam Weld Steel Cylinders

    I had a metal fabricator at All Power Labs in Oakland, CA, make a 5 element array for me.  He charged me $220 for materials and labor.  Once you have the resonator, you will need to make an RF amplifier to excite it.  I made a class A amp.  But if you are just experimenting with just CW, then a Class C amp is fine, and more efficient.

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