If we were limited to line-of-sight communications, long
distance wireless communication, like ship-to-shore
communication, would be impossible. At the turn of the century,
Marconi, the inventor of wireless telegraphy, boldly tried such
long distance communication without any evidence — either
empirical or theoretical — that it was possible. When the
experiment worked, but only at night, physicists scrambled to
determine why (using Maxwell's equations, of course). It was
Oliver Heaviside, a mathematical physicist with strong
engineering interests, who hypothesized that an invisible
electromagnetic "mirror" surrounded the earth. What he meant was
that at optical frequencies (and others as it turned out), the
mirror was transparent, but at the frequencies Marconi used, it
reflected electromagnetic radiation back to earth. He had
predicted the existence of the ionosphere, a plasma that
encompasses the earth at altitudes
h i
h i between
80 and 180 km that reacts to solar radiation: It becomes
transparent at Marconi's frequencies during the day, but becomes
a mirror at night when solar radiation diminishes. The maximum
distance along the earth's surface that can be reached by a
single ionospheric reflection is
2RarccosRR+
h
i
2
R
R
R
h
i
, which ranges between 2,010 and 3,000 km when we
substitute minimum and maximum ionospheric altitudes. This
distance does not span the United States or cross the Atlantic;
for transatlantic communication, at least two reflections would
be required. The communication delay encountered with a single
reflection in this channel is
22R
h
i
+
h
i
2c
2
2
R
h
i
h
i
2
c
, which ranges between 6.8 and 10 ms, again a small
time interval.
"Electrical Engineering Digital Processing Systems in Braille."