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  <name>The Ionosphere and Communications</name>

  <metadata>
  <md:version>2.9</md:version>
  <md:created>2000/08/11</md:created>
  <md:revised>2004/08/18 10:40:11.285 GMT-5</md:revised>
  <md:authorlist>
      <md:author id="dhj">
      <md:firstname>Don</md:firstname>
      
      <md:surname>Johnson</md:surname>
      <md:email>dhj@rice.edu</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <md:maintainer id="mselik">
      <md:firstname>Melissa</md:firstname>
      
      <md:surname>Selik</md:surname>
      <md:email>mselik@alumni.rice.edu</md:email>
    </md:maintainer>
    <md:maintainer id="dhj">
      <md:firstname>Don</md:firstname>
      
      <md:surname>Johnson</md:surname>
      <md:email>dhj@rice.edu</md:email>
    </md:maintainer>
    <md:maintainer id="jac3">
      <md:firstname>John</md:firstname>
      <md:othername>Austin</md:othername>
      <md:surname>Cottrell</md:surname>
      <md:email>jac3@rice.edu</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist>
    <md:keyword>communication channels</md:keyword>
    <md:keyword>Heaviside</md:keyword>
    <md:keyword>information communication</md:keyword>
    <md:keyword>ionosphere</md:keyword>
    <md:keyword>Marconi</md:keyword>
    <md:keyword>transatlantic communication</md:keyword>
    <md:keyword>transmission</md:keyword>
    <md:keyword>wireless</md:keyword>
  </md:keywordlist>

  <md:abstract>Describes the ionosphere's reflection of signals.
</md:abstract>
</metadata>

  <content>
    <para id="para1">
      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 <m:math> <m:ci><m:msub>
      <m:mi>h</m:mi> <m:mi>i</m:mi> </m:msub></m:ci> </m:math> 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
      <emphasis>single</emphasis> ionospheric reflection is
      <m:math>
	<m:apply>
	  <m:times/>
	  <m:cn>2</m:cn>
	  <m:ci>R</m:ci>
	  <m:apply>
	    <m:arccos/>
	    <m:apply>
	      <m:divide/>
	      <m:ci>R</m:ci>
	      <m:apply>
		<m:plus/>
		<m:ci>R</m:ci>
		<m:ci><m:msub>
		    <m:mi>h</m:mi>
		    <m:mi>i</m:mi>
		  </m:msub></m:ci>
	      </m:apply>
	    </m:apply>
	  </m:apply>
	</m:apply>
      </m:math>, 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
      <m:math>
	<m:apply>
	  <m:divide/>
	  <m:apply>
	    <m:times/>
	    <m:cn>2</m:cn>
	    <m:apply>
	      <m:root/>
	      <m:apply>
		<m:plus/>
		<m:apply>
		  <m:times/>
		  <m:cn>2</m:cn>
		  <m:ci>R</m:ci>
		  <m:ci>
		    <m:msub>
		      <m:mi>h</m:mi>
		      <m:mi>i</m:mi>
		    </m:msub>
		  </m:ci>
		</m:apply>
		<m:apply>
		  <m:power/>
		  <m:ci>
		    <m:msub>
		      <m:mi>h</m:mi>
		      <m:mi>i</m:mi>
		    </m:msub>
		  </m:ci>
		  <m:cn>2</m:cn>
		</m:apply>
	      </m:apply>
	    </m:apply>
	  </m:apply>
	  <m:ci>c</m:ci>
	</m:apply>
      </m:math>, which ranges between 6.8 and 10 ms, again a small
    time interval.
    </para>

  </content>
</document>
