By Ken Adachi <Ken Adachi, Editor>
http://educate-yourself.org/be/upperharmonicsexplained22may02.shtml
May 22, 2002
The type of electrical waveform that most people are familiar with is
the AC sine wave. AC stands for Alternating Current. Seen
on an oscilloscope, it's the voltage sine wave form that we are most familiar
with from physics text books; a gradually undulating, sinusoidal wave shape.
It's important tto bear in mind that we are usually looking at a voltage
waveforms on the oscilloscope, not current waveforms, but nevertheless
we can understand the current flow based on what we see in the voltage
waveform. Typically, half of the sine wave cycle occurs in the upper positive
region of the oscilloscope graph, above the zero line, and the other half
of the cycle completes itself in the lower, negative region of the graph.
In the upper positive region of the graph, the current is flowing
in one direction only, but the intensity of the current is first
gradually increasing and then decreasing until it hits the zero line. As
the AC wave continues into its second half of the cycle, the current is
now flowing in the opposite direction, increasing and then decreasing
as it goes back to the zero line.
The AC sine wave is the waveform that we have available from our electrical
wall outlets running at an average of 120 volts and at 60 cycles per second
(cps) or Hertz (Htz or hz) here in the USA. Pure audio signals are
also sine waves that can be produced by an audio signal generator such
as the NCH Tone Generator,
available as a free download from this web site.
Harmonics
Pure sine waves are not capable of producing harmonics because
of the smooth and gradual rise and fall of the current. A harmonic
is an exact multible in frequency of the original waveform, but
lower in amplitude. For example, the first multible (harmonic) of a 60
hz wave is 120hz, exactly double ( 2 x 60 = 120). Doubling of 120 equals
240 which is also the fourth harmonic of 60 hz ((4 x 60 = 240) .
Harmonics produced with ever numbers (2, 4, 6, 8, etc. ) are called even
harmonics and those derived from odd numbers (3, 5, 7, etc..) are called
odd
harmonics. Harmonics that are produced above the original frequency
are called upper harmonics and those produced below the original
frequency are called lower harmonics.
Harmonics are produced by a rapid and abrupt rise in current,
either in the positive or negative direction. Square waves and pulse waves produce a rapid and abrupt rise in current. The more rapid
and abrupt the current rises, the greater the quantity, amplitude, and
frequency range of harmonics produced. The abruptness of current rise is
measured in rise time. The time it takes for a signal to rise from10%
above the zero line to 90% of its maximum voltage is defined as the rise
time. If a signal (wave) takes .001 seconds or one millisecond
to rise to its 90% level, then its rise time is one thousand times
faster than a signal that takes 1.0 second to cover the same distance.
If the signal rises to its 90% maximum voltage level within one microsecond
( .000001 seconds), then its rise time is one million times
faster than a square wave signal with a one second rise time. Remember,
faster the rise time (or shorter the rise time, same thing), the greater
the quantity, variety, and amplitude of harmonics produced. This is referred
to as richness of harmonic content.
Base Frequency Affects Harmonic Makeup
If you begin with a squave wave of 30,000 hz (30khz), such as the zapper
used by Dr. Hulda Clark, you get harmonics based on that original base
frequency. The first upper harmonic is 60khz, the fourth upper harmonic
is 120khz, etc. If you start with a much lower square wave frequency such
as 3.92 hz of the Beck blood electrifier, you get a different set of upper
harmonics that don't have huge jumps in frequency between the harmonics.
For example, the first harmonic of the Beck
electrifier is 7.84 hz, the fourth harmonic is 15.68 hz, etc. If you
run the harmonics out to the 1,000th harmonic, for example, you'll include
more individual frequencies within a given frequency range, thus affecting
more bugs and pathogens whose Mortal
Oscillatory Resonance (MOR) frequency falls within that range. If you
use a fast rise pulse wave form of 15 Hz as in the Don Croft Terminator,
you get very rich harmonic content. When you combine that rich harmonic
content with an orgone
generator, you get some serious therapeutic effects.
All information posted on this web site is
the opinion of the author and is provided for educational purposes only.
It is not to be construed as medical advice. Only a licensed medical doctor
can legally offer medical advice in the United States. Consult the healer
of your choice for medical care and advice.