<?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>S0035-001X2011000300014</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Simultaneous phase-shifting cyclic interferometer for generation of lateral and radial shear]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Serrano-García]]></surname>
<given-names><![CDATA[D.I.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Toto-Arellano]]></surname>
<given-names><![CDATA[N.I.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martínez García]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rayas Álvarez]]></surname>
<given-names><![CDATA[J.A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Téllez-Quiñones]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rodríguez-Zurita]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Centro de Investigaciones en Óptica, A.C.  ]]></institution>
<addr-line><![CDATA[León Gto]]></addr-line>
<country>México</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Benemérita Universidad Autónoma de Puebla Facultad de Ciencias Físico-Matemáticas ]]></institution>
<addr-line><![CDATA[Puebla Pue]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2011</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2011</year>
</pub-date>
<volume>57</volume>
<numero>3</numero>
<fpage>255</fpage>
<lpage>258</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2011000300014&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2011000300014&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2011000300014&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[We present experimental results obtained by a phase-shifting interferometer employing polarization capable of retrieve directional derivatives in x-direction (lateral shear). The system was adapted to obtain radial derivative (radial shear) and implemented with a cyclic interferometer with phase grid to multiplex the interference patterns. Using phase shifting by polarization, the interferometer is capable of processing the optical phase data with n-interferograms captured in a single shot. Experimental results are presented.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este trabajo se presentan los resultados experimentales obtenidos con un sistema interferométrico de corrimiento de fase por polarización, que puede obtener la derivada direccional en dirección x (desplazamiento lateral) y adaptando al arreglo para obtener la derivada radial (desplazamiento radial). El interferómetro que se presenta consiste de un interferómetro cíclico con rejilla de fase para multiplexar los patrones de interferencia. Usando las técnicas de corrimiento de fase por polarización, el interferómetro es capaz de procesar la fase óptica a partir de n-interferogramas capturados en una sola toma. Se presentan los resultados experimentales obtenidos.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Diffraction]]></kwd>
<kwd lng="en"><![CDATA[phase shifting]]></kwd>
<kwd lng="en"><![CDATA[lateral shear]]></kwd>
<kwd lng="en"><![CDATA[radial shear]]></kwd>
<kwd lng="en"><![CDATA[interferometry]]></kwd>
<kwd lng="en"><![CDATA[polarization]]></kwd>
<kwd lng="es"><![CDATA[Difracción]]></kwd>
<kwd lng="es"><![CDATA[corrimiento de fase]]></kwd>
<kwd lng="es"><![CDATA[desplazamiento lateral]]></kwd>
<kwd lng="es"><![CDATA[desplazamiento radial]]></kwd>
<kwd lng="es"><![CDATA[interferometría]]></kwd>
<kwd lng="es"><![CDATA[polarización]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="justify"><font face="verdana" size="4">Investigaci&oacute;n</font></p> 	    <p align="center"><font face="verdana" size="2">&nbsp;</font></p> 	    <p align="center"><font face="verdana" size="4"><b>Simultaneous phase&#150;shifting cyclic interferometer for generation of lateral and radial shear</b></font></p> 	    <p align="center"><font face="verdana" size="2">&nbsp;</font></p> 	    <p align="center"><font face="verdana" size="2"><b>D.I. Serrano&#150;Garc&iacute;a&ordf;, N.I. Toto&#150;Arellano&ordf;, A. Mart&iacute;nez Garc&iacute;a&ordf;, J.A. Rayas &Aacute;lvarez&ordf;, A. T&eacute;llez&#150;Qui&ntilde;ones&ordf;, and G. Rodr&iacute;guez&#150;Zurita<sup>b</sup></b></font></p> 	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p> 	    <p align="justify"><font face="verdana" size="2"><i>&ordf; Centro de Investigaciones en &Oacute;ptica, A.C. Loma del Bosque 115 Col. Lomas del Campestre, 37150 Apartado Postal 1&#150;948, Le&oacute;n, Gto. M&eacute;xico, e&#150;mails:</i> <a href="mailto:david@cio.mx">david@cio.mx</a>; <a href="mailto:ivantotoarellano@cio.mx">ivantotoarellano@cio.mx</a>.</font></p> 	    <p align="justify"><font face="verdana" size="2"> <i><sup>b </sup>Facultad de Ciencias F&iacute;sico&#150;Matem&aacute;ticas de la Benem&eacute;rita Universidad Aut&oacute;noma de Puebla, Apartado Postal 1152, Puebla, 72001, Pue., M&eacute;xico.</i></font></p> 	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p> 	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">Recibido el 4 de marzo de 2011    <br>     Aceptado el 15 de abril de 2011</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">We present experimental results obtained by a phase&#150;shifting interferometer employing polarization capable of retrieve directional derivatives in <i>x</i>&#150;direction (lateral shear). The system was adapted to obtain radial derivative (radial shear) and implemented with a cyclic interferometer with phase grid to multiplex the interference patterns. Using phase shifting by polarization, the interferometer is capable of processing the optical phase data with n&#150;interferograms captured in a single shot. Experimental results are presented.</font></p> 	    <p align="justify"><font face="verdana" size="2"><b>Keywords:</b> Diffraction; phase shifting; lateral shear; radial shear; interferometry; polarization.</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">En este trabajo se presentan los resultados experimentales obtenidos con un sistema interferom&eacute;trico de corrimiento de fase por polarizaci&oacute;n, que puede obtener la derivada direccional en direcci&oacute;n <i>x</i> (desplazamiento lateral) y adaptando al arreglo para obtener la derivada radial (desplazamiento radial). El interfer&oacute;metro que se presenta consiste de un interfer&oacute;metro c&iacute;clico con rejilla de fase para multiplexar los patrones de interferencia. Usando las t&eacute;cnicas de corrimiento de fase por polarizaci&oacute;n, el interfer&oacute;metro es capaz de procesar la fase &oacute;ptica a partir de n&#150;interferogramas capturados en una sola toma. Se presentan los resultados experimentales obtenidos.</font></p> 	    <p align="justify"><font face="verdana" size="2"><b>Descriptores:</b> Difracci&oacute;n; corrimiento de fase; desplazamiento lateral; desplazamiento radial; interferometr&iacute;a; polarizaci&oacute;n.</font></p> 	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">&nbsp;</font></p> 	    <p align="justify"><font face="verdana" size="2">PACS: 42.87.Bg; 42.79.Ci; 42.79.Dj; 42.15.Eq; 42.25.Hz; 07.05.Pj</font></p> 	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p> 	    <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmf/v57n3/v57n3a14.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>Acknowledgements</b></font></p> 	    <p align="justify"><font face="verdana" size="2">One of the authors (NITA) occupies a second year to postdoctoral research position at CIO and expresses sincere appreciation to Luisa, Miguel, and Damian for the support provided, and to CONACYT for grant 102137/43055. Partial support from El Consejo Nacional de Ciencia y Tecnologia (CONACYT) and Centro de Investigaciones en (Optica A.C. (CIO) through projects 290597 (CONACYT&#150;CIO) and 124145 (CONACYT&#150;BUAP) is also acknowledged. The author DISG (Grant:227470/31458) is very grateful to CONACyT for the graduate scholarship granted and expresses sincere appreciation to Geliztle. ATQ is grateful to CONACYT for financial support through scholarship 227470/31458.</font></p> 	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p> 	    <p align="justify"><font face="verdana" size="2"><b>References</b></font></p> 	    <!-- ref --><p align="justify"><font face="verdana" size="2">1. M.V. Mantravadi, <i>Lateral shearing interferometers</i> 2nd ed. (D. Malacara, ed. 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<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mantravadi]]></surname>
<given-names><![CDATA[M.V.]]></given-names>
</name>
<name>
<surname><![CDATA[Malacara]]></surname>
<given-names><![CDATA[D]]></given-names>
</name>
</person-group>
<source><![CDATA[Lateral shearing interferometers]]></source>
<year>1992</year>
<edition>2nd ed.</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
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<label>2</label><nlm-citation citation-type="journal">
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