readme.txt
Copyright Sean Logan 2011.
This documentation describes Open Hardware and is licensed under the CERN
OHL v. 1.2.
You may redistribute and modify this documentation under the terms of the
CERN OHL v.1.2. (http://ohwr.org/cernohl). This documentation is
distributed WITHOUT ANY EXPRESS OR IMPLIED WARRANTY, INCLUDING OF
MERCHANTABILITY, SATISFACTORY QUALITY AND FITNESS FOR A PARTICULAR
PURPOSE. Please see the CERN OHL v.1.2 for applicable conditions
This documentation describes an electromagnetic resonator.
Its physical dimensions, and thus the wavelengths at which it is resonant,
are based on a set of logarithms. The base of logarithms used in this
design was called by Euclid "The Extreme and Mean Ratio". It is equal to
( ( 1 + sqrt(5)) / 2 ) = 1.61803...
This number has many unique properties, even an entire mathematics journal
devoted to its study. For our purposes, we are interested in what happens
when waves, whose frequencies are proportional to consecutive integer
powers of this number, heterodyne. We are interested in the set of
sidebands, or "heterodynes" thus created. A more in-depth examination of
what happens is given in the "Math and Theory" section of this
documentation. A geometric series of wavelengths is created.
This device can be scaled to any size, and thus resonate at any frequency.
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