<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1870-9044</journal-id>
<journal-title><![CDATA[Polibits]]></journal-title>
<abbrev-journal-title><![CDATA[Polibits]]></abbrev-journal-title>
<issn>1870-9044</issn>
<publisher>
<publisher-name><![CDATA[Instituto Politécnico Nacional, Centro de Innovación y Desarrollo Tecnológico en Cómputo]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1870-90442008000100007</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Aberración Óptica]]></article-title>
<article-title xml:lang="en"><![CDATA[Optic Aberration]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Marciano Melchor]]></surname>
<given-names><![CDATA[Magdalena]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Molina Vilchis]]></surname>
<given-names><![CDATA[María Aurora]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Herrera Lozada]]></surname>
<given-names><![CDATA[Juan Carlos]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Instituto Politécnico Nacional Centro de Innovación y Desarrollo Tecnológico en Cómputo ]]></institution>
<addr-line><![CDATA[México D. F.]]></addr-line>
</aff>
<aff id="A02">
<institution><![CDATA[,Instituto Politécnico Nacional Centro de Innovación y Desarrollo Tecnológico en Cómputo ]]></institution>
<addr-line><![CDATA[México D. F.]]></addr-line>
</aff>
<aff id="A03">
<institution><![CDATA[,Instituto Politécnico Nacional Centro de Innovación y Desarrollo Tecnológico en Cómputo ]]></institution>
<addr-line><![CDATA[México D. F.]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2008</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2008</year>
</pub-date>
<numero>37</numero>
<fpage>55</fpage>
<lpage>56</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1870-90442008000100007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1870-90442008000100007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1870-90442008000100007&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[El estudio de las aberraciones ópticas radica en la evaluación de las imágenes que produce un sistema óptico. Este fenómeno se debe a la geometría del sistema. En este artículo se tiene la finalidad de presentar en forma aproximada las ecuaciones analíticas que describen a un frente de onda esférico afectado por aberración "coma" en un sistema óptico con simetría.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[The study of optic aberrations is related to evaluation of the images produced by an optic system. This phenomenon is related to the geometry of the system. In this paper, we present approximate analytical equations that describe the front of the spherical wave affected by the aberration in an optic system with symmetry.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Sistema óptico]]></kwd>
<kwd lng="es"><![CDATA[aberración]]></kwd>
<kwd lng="en"><![CDATA[Optic system]]></kwd>
<kwd lng="en"><![CDATA[aberration]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="justify"><font face="verdana" size="4">Regular papers</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="4"><b>Aberraci&oacute;n &Oacute;ptica</b></font></p>  	    <p align="center"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="3"><b>Optic Aberration</b></font></p>  	    <p align="center"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="2"><b>Magdalena Marciano Melchor<sup>1</sup>, Mar&iacute;a Aurora Molina Vilchis<sup>2</sup>, Juan Carlos Herrera Lozada<sup>3</sup></b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><i><sup>1</sup> Centro de Innovaci&oacute;n y Desarrollo Tecnol&oacute;gico en C&oacute;mputo del Instituto Polit&eacute;cnico Nacional, M&eacute;xico, D. F. (tel&eacute;fono: 57296000 Ext. 52529; e&#150;mail:</i> <a href="mailto:mmarciano@ipn.mx">mmarciano@ipn.mx</a><i>).</i></font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><i><sup>2</sup> Centro de Innovaci&oacute;n y Desarrollo Tecnol&oacute;gico en C&oacute;mputo del Instituto Polit&eacute;cnico Nacional, M&eacute;xico, D. F. (tel&eacute;fono: 57296000 Ext. 52531; e&#150;mail:</i> <a href="mailto:mamvilchis@ipn.mx">mamvilchis@ipn.mx</a><i>).</i></font></p>  	    <p align="justify"><font face="verdana" size="2"><i><sup>3</sup> Centro de Innovaci&oacute;n y Desarrollo Tecnol&oacute;gico en C&oacute;mputo del Instituto Polit&eacute;cnico Nacional, M&eacute;xico, D. F. (tel&eacute;fono: 57296000 Ext. 52512; e&#150;mail:</i> <a href="mailto:jlozada@ipn.mx">jlozada@ipn.mx</a><i>).</i></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2">Manuscrito recibido el 5 de marzo del 2008.    <br> 	Manuscrito aceptado para su publicaci&oacute;n el 15 de junio del 2008.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>  	    <p align="justify"><font face="verdana" size="2">El estudio de las aberraciones &oacute;pticas radica en la evaluaci&oacute;n de las im&aacute;genes que produce un sistema &oacute;ptico. Este fen&oacute;meno se debe a la geometr&iacute;a del sistema. En este art&iacute;culo se tiene la finalidad de presentar en forma aproximada las ecuaciones anal&iacute;ticas que describen a un frente de onda esf&eacute;rico afectado por aberraci&oacute;n "coma" en un sistema &oacute;ptico con simetr&iacute;a.</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Palabras clave:</b> Sistema &oacute;ptico, aberraci&oacute;n.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>  	    <p align="justify"><font face="verdana" size="2">The study of optic aberrations is related to evaluation of the images produced by an optic system. This phenomenon is related to the geometry of the system. In this paper, we present approximate analytical equations that describe the front of the spherical wave affected by the aberration in an optic system with symmetry.</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Key words:</b> Optic system, aberration.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><a href="/pdf/poli/n37/n37a7.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>AGRADECIMIENTOS</b></font></p>  	    <p align="justify"><font face="verdana" size="2">M. Melchor agradece el apoyo de CIDETEC&#150;IPN y de la SIP&#150;IPN mediante el registro de su proyecto 2008161.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>REFERENCIAS</b></font></p>  	    ]]></body>
<body><![CDATA[<!-- ref --><p align="justify"><font face="verdana" size="2">&#91;1&#93; M. Born and E. Wolf, <i>Principles of Optics.</i> New York: Cambridge, 2006, cap&iacute;tulo 5.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=6040609&pid=S1870-9044200800010000700001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;2&#93; L.N. Thibos, Representation of Wavefront Aberrations, disponible en: <a href="http://research.opt.indiana.edu/Library/wavefronts/index.htm" target="_blank">http://research.opt.indiana.edu/Library/wavefronts/index.htm</a></font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=6040611&pid=S1870-9044200800010000700002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">&#91;3&#93; J.C. Wyant and K. Creath, "BasicWavefront Aberration Theory for Optical Metrology," <i>Applied Optics and Optical Engineering,</i> vol XI, pp. 1&#150;53.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=6040612&pid=S1870-9044200800010000700003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;4&#93; G. Silva Ortigoza, M. Marciano Melchor, O. Carvente Mu&ntilde;oz and R. Silva Ortigoza, "Exact computation of the caustic associated with the evolution of an aberrated wavefront," <i>Journal of Optics A: Pure and</i> <i>Applied Optics,</i> vol. 4, pp. 358&#150;365, 2002.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=6040614&pid=S1870-9044200800010000700004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">&#91;5&#93; E.L. O'Neil, "Introduction to Statistical Optics," (Addison&#150;Wesley, Massachusetts, 1963).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=6040616&pid=S1870-9044200800010000700005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>      ]]></body><back>
<ref-list>
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<surname><![CDATA[Born]]></surname>
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<name>
<surname><![CDATA[Wolf]]></surname>
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<source><![CDATA[Principles of Optics]]></source>
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<name>
<surname><![CDATA[Creath]]></surname>
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<article-title xml:lang="en"><![CDATA[BasicWavefront Aberration Theory for Optical Metrology]]></article-title>
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<volume>XI</volume>
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<name>
<surname><![CDATA[Marciano Melchor]]></surname>
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<article-title xml:lang="en"><![CDATA[Exact computation of the caustic associated with the evolution of an aberrated wavefront]]></article-title>
<source><![CDATA[Journal of Optics A: Pure and Applied Optics]]></source>
<year>2002</year>
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</article>
