<?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>S0035-001X2016000400362</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Family of Lamé spheroconal quadrupole harmonic current distributions on spherical surfaces as sources of magnetic induction fields with constant gradients inside and vanishing asymptotically outside]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Medina]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ley-Koo]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México Facultad de Ciencias ]]></institution>
<addr-line><![CDATA[Ciudad de México Cd. Mx.]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Nacional Autónoma de México Instituto de Física ]]></institution>
<addr-line><![CDATA[México Cd. Mx.]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>08</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>08</month>
<year>2016</year>
</pub-date>
<volume>62</volume>
<numero>4</numero>
<fpage>362</fpage>
<lpage>368</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2016000400362&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2016000400362&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2016000400362&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: Constant gradient magnetic induction fields play key roles in Magnetic Resonance Imaging and in Neutral Atom Traps. This communication reports the construction of a family of solutions of the magnetostatic Gauss and Ampere laws in their boundary condition forms, identifying the Lamé quadrupole spheroconal harmonic current distributions on spherical surfaces as sources of magnetostatic fields with constant gradients inside and vanishing asymptotically outside. The advantages of the spheroconal quadrupole sources and fields, which include the familiar spherical harmonic counterparts as special cases, are illustrated analytically and graphically.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Los campos de inducción magnética con gradientes constantes juegan papeles claves en Imágenes por Resonancia Magnética y Trampas de Atomos Neutros. Esta comunicación reporta la construcción de una familia de soluciones de las Leyes de Gauss y Ampere de la magnetostática en sus formas de condiciones de frontera, identificando distribuciones de corriente armónicas esferoconales cuadrupolares de Lamé sobre superficies esféricas como fuentes de campos magnetostáticos de gradientes constantes en el interior y que se anulan asintóticamente en el exterior. Se ilustran analíticamente y gráficamente las ventajas de las fuentes y campos cuadrupolares esferoconales, los cuales incluyen a sus contrapartes armónicas esféricas como casos especiales.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Magnetostatic fields with constant gradients]]></kwd>
<kwd lng="en"><![CDATA[Lamé spheroconal quadrupole sources and fields on]]></kwd>
<kwd lng="en"><![CDATA[inside and outside spherical surfaces]]></kwd>
<kwd lng="es"><![CDATA[Campos magnetostáticos con gradientes constantes]]></kwd>
<kwd lng="es"><![CDATA[fuentes y campos cuadrupolares armónicos de Lamé sobre]]></kwd>
<kwd lng="es"><![CDATA[dentro y afuera de superficies esféricas]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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