<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpublishing3.dtd">
<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">ANGEO</journal-id>
<journal-title-group>
<journal-title>Annales Geophysicae</journal-title>
<abbrev-journal-title abbrev-type="publisher">ANGEO</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Ann. Geophys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1432-0576</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/angeo-26-3707-2008</article-id>
<title-group>
<article-title>Nonlinear low-frequency wave aspect of foreshock density holes</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Lin</surname>
<given-names>N.</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>Lee</surname>
<given-names>E.</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>Mozer</surname>
<given-names>F.</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>Parks</surname>
<given-names>G. K.</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>Wilber</surname>
<given-names>M.</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>Rème</surname>
<given-names>H.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>Space Sciences Laboratory, UC Berkeley, Berkeley, CA 94720, USA</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Centre d&apos;Etude Spatiale des Rayonnement, Paul Sabatier University, Toulouse, France</addr-line>
</aff>
<pub-date pub-type="epub">
<day>25</day>
<month>11</month>
<year>2008</year>
</pub-date>
<volume>26</volume>
<issue>12</issue>
<fpage>3707</fpage>
<lpage>3718</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2008 N. Lin et al.</copyright-statement>
<copyright-year>2008</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://angeo.copernicus.org/articles/26/3707/2008/angeo-26-3707-2008.html">This article is available from https://angeo.copernicus.org/articles/26/3707/2008/angeo-26-3707-2008.html</self-uri>
<self-uri xlink:href="https://angeo.copernicus.org/articles/26/3707/2008/angeo-26-3707-2008.pdf">The full text article is available as a PDF file from https://angeo.copernicus.org/articles/26/3707/2008/angeo-26-3707-2008.pdf</self-uri>
<abstract>
<p>Recent observations have uncovered short-duration density holes in the
Earth&apos;s foreshock region. There is evidence that the formation of density
holes involves non-linear growth of fluctuations in the magnetic field and
plasma density, which results in shock-like boundaries followed by a
decrease in both density and magnetic field. In this study we examine in
detail a few such events focusing on their low frequency wave
characteristics. The propagation properties of the waves are studied using
Cluster&apos;s four point observations. We found that while these density
hole-structures were convected with the solar wind, in the plasma rest frame
they propagated obliquely and mostly sunward. The wave amplitude grows
non-linearly in the process, and the waves are circularly or elliptically
polarized in the left hand sense. The phase velocities calculated from four
spacecraft timing analysis are compared with the velocity estimated from
&amp;delta;&lt;I&gt;E&lt;/I&gt;/&amp;delta;&lt;I&gt;B&lt;/I&gt;. Their agreement justifies the plane electromagnetic wave nature of the
structures. Plasma conditions are found to favor firehose instabilities.
Oblique Alfvén firehose instability is suggested as a possible energy
source for the wave growth. Resonant interaction between ions at certain
energy and the waves could reduce the ion temperature anisotropy and thus
the free energy, thereby playing a stabilizing role.</p>
</abstract>
<counts><page-count count="12"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple"> Balogh, A., Dunlop, M. W., Cowley, S. W. H., et al.: The Cluster Magnetic Field Investigation, Space Sci. Rev., 79, 65–92, 1997. </mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple"> Behlke, R., André, M., Buchert, S. C., Vaivads, A., Eriksson, A. I., Lucek, E. A., and Balogh, A.: Multi-point electric field measurements of Short Large-Amplitude Magnetic Structures (SLAMS) at the Earth&apos;s quasi-parallel bow shock, Geophys. Res. Lett., 30(4), 1177, https://doi.org/10.1029/2002GL015871, 2003. </mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple"> Burgess, D.: What do we really know about upstream waves?, Adv. Space Res., 20, 673–682, 1997. </mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple"> Daughton, W. and Gary, S. P.: Electromagnetic proton/proton instabilities in the solar wind, J. Geophys. Res., 103(A9), 20 613–20 620, 1998. </mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple"> Daughton, W., Gary, S. P., and Winske, D.: Electromagnetic proton/proton instabilities in the solar wind: Simulations, J. Geophys. Res., 104(A3), 4657–4667, 1999. </mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple"> Eastwood, J. P., Balogh, A., Dunlop, M. W., Horbury, T. S., and Dandouras, I.: Cluster observations of fast magnetosonic waves in the terrestrial foreshock, Geophys. Res. Lett., 29(22), 2046, https://doi.org/10.1029/2002GL015582, 2002. </mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple"> Eastwood, J. P., Balogh, A., Lucek, E. A., Mazelle, C., and Dandouras, I.: On the existence of Alfvén waves in the terrestrial foreshock, Ann. Geophys., 21, 1457–1465, 2003. </mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple"> Eastwood, J. P., Lucek, E. A., Mazelle, C., Meziane, K., Narita, Y., Pickett, J., and Treumann, R. A.: The foreshock, Space Sci. Rev., 118, 41–94, 2005. </mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple"> Gary, S. P., Li, H., O&apos;Rourke, S., and Winske, D.: Proton resonant firehose instability: Temperature anisotropy and fluctuating field constraints, J. Geophys. Res., 103, 14 567–14 574, 1998. </mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple"> Gustafsson, G., André, M., Carozzi, T., et al.: First results of electric field and density observations by Cluster EFW based on initial months of operation, Ann. Geophys., 19, 1219–1240, 2001. </mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple"> Greenstadt, E. W., Le, G., and Strangeway, R. J.: ULF waves in the foreshock, Adv. Space Res., 15, 71–84, 1995. </mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple"> Hellinger, P. and Matsumoto, H.: New kinetic instability: Oblique Alfvén fire hose, J. Geophys. Res., 105, 10 519–10 526, 2000. </mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple"> Hellinger, P. and Matsumoto, H.: Nonlinear competition between the whistler and Alfvén fire hoses, J. Geophys. Res., 106, 13 215–13 218, 2001. </mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple"> Hellinger, P. and Trávníček, P.: Parallel and oblique proton fire hose instabilities in the presence of alpha/proton drift: Hybrid simulations, J. Geophys. Res., 111, A01107, https://doi.org/10.1029/2005JA011318, 2006. </mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple"> Hellinger, P., Trávníček, P., Kasper, J. C., and Lazarus, A. J.: Solar wind proton temperature anisotropy: Linear theory and WIND/SWE observations, Geophys. Res. Lett., 33, L09101, https://doi.org/10.1029/2006GL025925, 2006. </mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple"> Kasper, J. C., Lazarus, A. J., and Gary, S. P.: Wind/SWE observations of firehose constraint on solar wind proton temperature anisotropy, Geophys. Res. Lett., 29(17), 1839, https://doi.org/10.1029/2002GL015128, 2002. </mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple"> Lucek, E. A., Horbury, T. S., Dunlop, M. W., Cargill, P. J., Schwartz, S. J., Balogh, A., Brown, P., Carr, C., Fornacon, K.-H., and Georgescu, E.: Cluster magnetic field observations at a quasi-parallel bow shock, Ann. Geophys., 20, 1699–1685, 2002. </mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple"> Lucek, E. A., Horbury, T. S., Balogh, A., Dandouras, I., and Rème, H.: Cluster observations of hot flow anomalies, J. Geophys. Res., 109, A06207, https://doi.org/10.1029/2003JA010016, 2004. </mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple"> Onsager,~T. G., Thomsen, M. F., Gosling, J. T., and Bame, S. J.: Observational test of a hot flow anomaly formation mechanism, J. Geophys. Res., 95, 11 967–11 974, 1990. </mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple"> Parker, E. N.: Dynamical instability in an anisotropic ionized gas of low density, Phys. Rev., 109, 1874–1876, 1958. </mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple"> Parks, G. K., Lee, E., Mozer, F., Wilber, M., Lucek, E., Dandouras, I., Rème, H., Mazelle, C., Cao, J. B., Meziane, K., Goldstein, M. L., and Escoubet, P.: Larmor radius size density holes discovered in the solar wind upstream of Earth&apos;s bow shock, Phys. Plasma, 13, 050701, https://doi.org/10.1063/1.2201056, 2006. </mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple"> Parks, G. K., Lee, E., Lin, N., Mozer, F., Wilber, M., Lucek, E., Dandouras, I., Rème, H., Cao, J. B., Canu, P., Cornilleau-Wehrlin, N., Décréau, P., Goldstein, M. L., and Escoubet, P.: Density holes in the upstream solar wind, in: Proceedings of The 6th Annual International Astrophysics Conference, edited by: Shaikh, D. and Zank, G. P., AIP, 9–15, 2007. </mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple"> Paschman, G., Haerendel, G., Sckopke, N., Mobius, E., Luhr, H., and Carlson, C. W.: Three dimensional plasma structures with anomalous flow directions near the Earth&apos;s bow shock, J. Geophys. Res., 93, 11 279–11 294, 1988. </mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple"> Rème, H., Bosqued, J. M., Sauvaud, J. A., et al.: The Cluster Ion Spectrometry (CIS) Experiment, Space Sci. Rev., 79, 303–350, 1997. </mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple"> Russell, C. T. and Hoppe, M. M.: Upstream waves and particles, Space Sci. Rev., 34, 155–172, 1983. </mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple"> Schwartz, S. J.: Shock and discontinuity normals, Mach numbers, and related parameters, in: Analysis Method for Multi-Spacecraft Data, edited by: Paschmann, G. and Daly, P. W., ISSI/ESA, 249–270, 2000. </mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple"> Schwartz,~S. J., Chaloner, C. P., Hall, D. S., Christiansen, P. J., and Johnstones, A. D.: An active current sheet in the solar wind, Nature, 318, 269–271, 1985. </mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple"> Schwartz, S. J. and Burgess, D.: Quasi-parallel shocks – A patchwork of three-dimensional structures, Geophys. Res. Lett., 18, 373–376, 1991. </mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple"> Schwartz, S. J., Burgess, D., Wilkinson, W. P., Kessel, R. L., Dunlop, M., and Luhr, H.: Observations of short large-amplitude magnetic structures at a quasi-parallel shock, J. Geophys. Res., 97, 4209–4227, 1992. </mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple"> Sentman, D. D., Edmiston, J. P., and Frank, L.: Instabilities of low frequency, parallel propagating electromagnetic waves in the Earth&apos;s foreshock region, J. Geophys. Res., 86, 7487–7497, 1981. </mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple"> Sibeck, D. G., Borodkova, N. L., Zastenker, G. N., Romanov, S. A., and Sauvaud, J.-A.: Gross deformation of the dayside magnetopause, Geophys. Res. Lett., 25, 453–456, 1998. </mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple"> Sibeck, D. G., Phan, T.-D., Lin, R., Lepping, R. P., and Szabo, A.: Wind observations of foreshock cavities: A case study, J. Geophys. Res., 107(A10), 1271, https://doi.org/10.1029/2001JA007539, 2002. </mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple"> Stasiewicz, K., Longmore, M., Buchert, S., Shukla, P. K., Lavraud, B., and Pickett, J.: Properties of fast magnetosonic shocklets at the bow shock, Geophys. Res. Lett., 30, SSC4-1, https://doi.org/10.1029/2003GL017971, 2003. </mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple"> Thomsen, M. F., Gosling, J. T., Fuselier, S. A., Bame, S. J., and Russell, C. T.: Hot, diamagnetic cavities near the Earth&apos;s bow shock, J. Geophys. Res., 91, 2961–2973, 1986. </mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple"> Thomsen, M. F., Gosling, J. T., Bame, S. J., and Russell, C. T.: Magnetic pulsations at the quasi-parallel shock, J. Geophys. Res., 95, 957–966, 1990. </mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple"> Treumann, R. A. and Baumjohann, W.: Advanced Space Plasma Physics, Imperial College Press, London, 51–55, 1997. </mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple"> Wilber, M., Parks, G. K., Meziane, K., Lin, N., Lee, E., Mazelle, C., and Harris, A.: Foreshock density holes in the context of known upstream plasma structures, Ann. Geophys., in press, 2008. </mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple"> Wilkinson, W. P.: The Earth&apos;s quasi-parallel bow shock: Review of observations and perspectives for Cluster, Planet. Space Sci., 51, 629–647, 2003. </mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple"> Yoon, P. H.: Electromagnetic fire hose instability in a full relativistic bi-Maxwellian plasma, Phys. Fluids B, 2, 842–844, 1990. </mixed-citation>
</ref>
</ref-list>
</back>
</article>