<?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>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2007000400007</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Construcción de un inclinómetro óptico]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Jaramillo-Núñez]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lucero-Álvarez]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Instituto Nacional de Astrofísica, Óptica y Electrónica  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>MÉXICO</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>08</month>
<year>2007</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>08</month>
<year>2007</year>
</pub-date>
<volume>53</volume>
<numero>4</numero>
<fpage>281</fpage>
<lpage>288</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2007000400007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2007000400007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2007000400007&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este trabajo se describen la construcción, caracterización y aplicación de un instrumento óptico para medir inclinaciones. El instrumento es de fácil manejo, de no contacto, y puede medir inclinaciones del orden de 0.5 segundos de arco en un rango de 14 minutos de arco. La precisión de las mediciones puede ser modificada cambiando apropiadamente algunos parámetros del arreglo. El instrumento fue desarrollado como un inclinometro usando como referencia la superficie horizontal de un líquido, además, la inclinación se obtiene midiendo con un detector sensible a la posición el desplazamiento que sufre un haz de láser después de reflejarse en la superficie del líquido. Se muestra la aplicación del instrumento en la medición de la inclinación del husillo de una máquina pulidora de grandes dimensiones.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[In this work an optical instrument for measuring tilt is described. The device is compact, requires no special handling and can measure variations in tilt of the order of 0.5 arcsec, although this value can be suitably modified by changing the setup parameters. The instrument was developed as a tiltmeter using a liquid surface as reference surface. The inclination is obtained by measuring the longitudinal displacement of a laser beam after being reflected from the surface of the liquid. The application of the instrument for measuring the tilt of the spindle of a polishing machine of large dimensions is presented.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Inclinómetro]]></kwd>
<kwd lng="es"><![CDATA[metrología]]></kwd>
<kwd lng="es"><![CDATA[óptica geométrica]]></kwd>
<kwd lng="es"><![CDATA[desplazamiento de haz]]></kwd>
<kwd lng="en"><![CDATA[Tiltmeter]]></kwd>
<kwd lng="en"><![CDATA[metrology]]></kwd>
<kwd lng="en"><![CDATA[geometrical optics]]></kwd>
<kwd lng="en"><![CDATA[laser beam]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <p align="justify"><font face="verdana" size="4"><b>Investigaci&oacute;n</b></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="4"><b>Construcci&oacute;n de un inclin&oacute;metro &oacute;ptico</b></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="center"><font face="verdana" size="2"><b>A. Jaramillo&#150;N&uacute;&ntilde;ez y M. Lucero&#150;&Aacute;lvarez</b></font> </p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><i>Instituto Nacional de Astrof&iacute;sica,    &Oacute;ptica y Electr&oacute;nica, Apartado Postal 51 Y 216, PUK, M&Eacute;XICO,    72000, e&#150;mail: <a href="mailto:ajaramil@inaoep.mx" target="_blank">ajaramil@inaoep.mx</a>,    <a href="mailto:mlucero@inaoep.mx" target="_blank">mlucero@inaoep.mx</a></i></font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">Recibido el 27 de noviembre de 2006    <br>   Aceptado el 21 de junio de 2007</font></p>     ]]></body>
<body><![CDATA[<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">En este trabajo se describen la construcci&oacute;n, caracterizaci&oacute;n y aplicaci&oacute;n de un instrumento &oacute;ptico para medir inclinaciones. El instrumento es de f&aacute;cil manejo, de no contacto, y puede medir inclinaciones del orden de 0.5 segundos de arco en un rango de 14 minutos de arco. La precisi&oacute;n de las mediciones puede ser modificada cambiando apropiadamente algunos par&aacute;metros del arreglo. El instrumento fue desarrollado como un inclinometro usando como referencia la superficie horizontal de un l&iacute;quido, adem&aacute;s, la inclinaci&oacute;n se obtiene midiendo con un detector sensible a la posici&oacute;n el desplazamiento que sufre un haz de l&aacute;ser despu&eacute;s de reflejarse en la superficie del l&iacute;quido. Se muestra la aplicaci&oacute;n del instrumento en la medici&oacute;n de la inclinaci&oacute;n del husillo de una m&aacute;quina pulidora de grandes dimensiones.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Descriptores: </b>Inclin&oacute;metro; metrolog&iacute;a; &oacute;ptica geom&eacute;trica; desplazamiento de haz.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>     <p align="justify"><font face="verdana" size="2">In this work an optical instrument for measuring tilt is described. The device is compact, requires no special handling and can measure variations in tilt of the order of 0.5 arcsec, although this value can be suitably modified by changing the setup parameters. The instrument was developed as a tiltmeter using a liquid surface as reference surface. The inclination is obtained by measuring the longitudinal displacement of a laser beam after being reflected from the surface of the liquid. The application of the instrument for measuring the tilt of the spindle of a polishing machine of large dimensions is presented.</font></p>     <p align="justify"><font face="verdana" size="2"><b>Keywords: </b>Tiltmeter; metrology; geometrical optics; laser beam.</font></p>     <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2">PACS: 07.60.&#150;j; 06.20.&#150;f.; 42.15&#150;i; 41.85.&#150;p.</font></p>     ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">&nbsp;</font></p>     <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmf/v53n4/v53n4a7.pdf">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">Los autores agradecen la colaboraci&oacute;n de Ana Ma. Z&aacute;rate Rivera por la elaboraci&oacute;n del presente trabajo.</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>     <!-- ref --><p align="justify"><font face="verdana" size="2">1. D.F. Horne, <i>Optical Instruments and their applications, </i>Adam Hilger (London, 1980) p. 234.</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=8333925&pid=S0035-001X200700040000700001&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">2. A.W. Young, <i>Optical workshop instruments in R. Kingslake (ed), </i>Applied and Optical Engineering (Academic Press, New York, 1967) Vol. 4, Chap. 7.</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=8333926&pid=S0035-001X200700040000700002&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">3. J.D. Mc. Grae, <i>Optical tooling in industry </i>(Hayden, New York, 1964) p. 53.</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=8333927&pid=S0035-001X200700040000700003&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">4. D.C. O'shea, <i>Elements of modern optical design </i>(John Wiley and Sons, New York, USA, 1985) p. 390.</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=8333928&pid=S0035-001X200700040000700004&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">5. A. Jaramillo&#150;N&uacute;&ntilde;ez    y M. Lucero&#150;&Aacute;lvarez, <i>Opt. Eng. </i><b>45</b> (9) (2006) 093601.</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=8333929&pid=S0035-001X200700040000700005&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">6. W.R. Longley, P.F. Smith y W.A. Wilson, <i>Analytic Geometry and Calculus </i>(Ginn and company, New York, 1952) p. 12.</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=8333930&pid=S0035-001X200700040000700006&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">7. D.C. Baird, <i>Experimentacion:    Una introducci&oacute;n a la teor&iacute;a de mediciones y al dise&ntilde;o    de experimentos </i>(Prentice&#150;Hall Hispanoamericana, M&eacute;xico, 1990)    p. 20.</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=8333931&pid=S0035-001X200700040000700007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --> ]]></body><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[F. Horne]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Optical Instruments and their applications]]></source>
<year>1980</year>
<page-range>234</page-range><publisher-loc><![CDATA[London ]]></publisher-loc>
<publisher-name><![CDATA[Adam Hilger]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[W. Young]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<article-title xml:lang="en"><![CDATA[Optical workshop instruments]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Kingslake]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<source><![CDATA[Applied and Optical Engineering]]></source>
<year>1967</year>
<volume>4</volume>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Academic Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mc. Grae]]></surname>
<given-names><![CDATA[J.D]]></given-names>
</name>
</person-group>
<source><![CDATA[Optical tooling in industry]]></source>
<year>1964</year>
<page-range>53</page-range><publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Hayden]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[C. O'shea]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Elements of modern optical design]]></source>
<year>1985</year>
<page-range>390</page-range><publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[John Wiley and Sons]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jaramillo-Núñez]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
<name>
<surname><![CDATA[Lucero-Álvarez]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<source><![CDATA[Opt. Eng]]></source>
<year>2006</year>
<volume>45</volume>
<numero>9</numero>
<issue>9</issue>
<page-range>093601</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[R. Longley]]></surname>
<given-names><![CDATA[W]]></given-names>
</name>
<name>
<surname><![CDATA[F. Smith]]></surname>
<given-names><![CDATA[P]]></given-names>
</name>
<name>
<surname><![CDATA[A. Wilson]]></surname>
<given-names><![CDATA[W]]></given-names>
</name>
</person-group>
<source><![CDATA[Analytic Geometry and Calculus]]></source>
<year>1952</year>
<page-range>12</page-range><publisher-loc><![CDATA[New Yor ]]></publisher-loc>
<publisher-name><![CDATA[Ginn and company]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[C. Baird]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Experimentacion: Una introducción a la teoría de mediciones y al diseño de experimentos]]></source>
<year>1990</year>
<page-range>20</page-range><publisher-name><![CDATA[Prentice-Hall Hispanoamericana]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
