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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="3.0" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher">ACPD</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics Discussions</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACPD</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7375</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/acpd-5-11377-2005</article-id>
<title-group>
<article-title>Small-scale gravity waves in ER-2 MMS/MTP wind and temperature measurements during CRYSTAL-FACE</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Wang</surname>
<given-names>L.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Alexander</surname>
<given-names>M. J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Bui</surname>
<given-names>T. P.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Mahoney</surname>
<given-names>M. J.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Colorado Research Associates Division, NorthWest Research Associates, Inc., Boulder, CO 80301, USA</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>NASA Ames Research Center, Moffett, CA 94035, USA</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, USA</addr-line>
</aff>
<pub-date pub-type="epub">
<day>10</day>
<month>11</month>
<year>2005</year>
</pub-date>
<volume>5</volume>
<issue>6</issue>
<fpage>11377</fpage>
<lpage>11412</lpage>
<permissions>
<license xlink:type="simple">
<license-p>This is an open-access article ditributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
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<self-uri xlink:href="http://www.atmos-chem-phys-discuss.net/5/11377/2005/acpd-5-11377-2005.pdf">The full text article is available as a PDF file from http://www.atmos-chem-phys-discuss.net/5/11377/2005/acpd-5-11377-2005.pdf</self-uri>
<abstract>
<p>ER-2 MMS and MTP wind and temperature measurements during the CRYSTAL-FACE
campaign in July 2002 were analyzed to retrieve information on small scale
gravity waves (GWs) at aircraft&apos;s flight level. For a given flight segment,
the S-transform was used to search for and identify small horizontal scale GW
events, and to estimate the apparent horizontal wavelengths of the events.
The horizontal propagation directions of the events were determined using the
Stokes parameters method combined with the cross S-transform analysis. The
MTP temperature gradient method was used to determine the vertical
wavelengths of the events. GW momentum fluxes were calculated from the cross
S-transform. Other wave parameters such as intrinsic frequencies were
calculated using the GW dispersion relation. More than 100 GW events were
identified. They were generally short horizontal scale and high frequency
waves with &amp;lambda;&lt;sub&gt;&lt;i&gt;z&lt;/i&gt;&lt;/sub&gt; of ~5 km and &amp;lambda;&lt;sub&gt;&lt;i&gt;h&lt;/i&gt;&lt;/sub&gt; generally shorter
than 20 km. Their intrinsic propagation directions were predominantly
toward the east, whereas their ground-based propagation directions were
primarily toward the west. Among the events, ~20% of them had very
short horizontal wavelength (&amp;lt;10 km), very high intrinsic frequency
(&amp;omega;/&lt;i&gt;N&lt;/i&gt;&amp;#x2265;0.8), and relatively small momentum fluxes, and thus they
were likely trapped in the lower stratosphere. The averaged magnitude of
vertical flux of horizontal momentum was ~0.026 kg m&lt;sup&gt;&amp;minus;1&lt;/sup&gt; s&lt;sup&gt;&amp;minus;2&lt;/sup&gt;, and
the maximum magnitude was ~0.13 kg m&lt;sup&gt;&amp;minus;1&lt;/sup&gt; s&lt;sup&gt;&amp;minus;2&lt;/sup&gt;.

&lt;br&gt;&lt;br&gt;
Using the estimated GW parameters and the background winds and stabilities
from the NCAR/NCEP reanalysis data, we were able to trace the sources of the
events using a simple reverse ray-tracing. More than 70% of the events were
traced back to convective sources in the troposphere, and the sources were
generally located upstream to the events. Finally, a probability density
function of GW cooling rates was obtained in this study, which may be used in
cirrus cloud models.</p>
</abstract>
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