<div dir="ltr"><br clear="all"><div><div class="m_-8363380334215463402gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div dir="ltr"><br></div></div></div></div></div></div><div class="gmail_quote"><br><div dir="ltr"><div>    <div><br><div><div style="overflow:auto"><div style="max-height:10000px"><div dir="ltr"><p style="text-align:center;clear:both"><a href="https://lh3.googleusercontent.com/-ZPFNPh16sR0/Wt39FrXUP-I/AAAAAAAAAaw/3wQunGe20lUopmV_ggfPaDwE9cVAgVzxgCLcBGAs/s1600/image001.jpg" style="margin-left:1em;margin-right:1em" target="_blank"><img src="https://lh3.googleusercontent.com/-ZPFNPh16sR0/Wt39FrXUP-I/AAAAAAAAAaw/3wQunGe20lUopmV_ggfPaDwE9cVAgVzxgCLcBGAs/s1600/image001.jpg" border="0"></a></p><br>

<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black">DATE:</span><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> </span><span style="font-size:13.5pt;font-family:"Verdana",sans-serif;color:black"> </span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">Friday, September 14, 2018</span></b></p>

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<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black">TITLE:</span><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> <br></span></p><p class="MsoNormal" style="text-align:center" align="center"><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> <br></span></p><p class="MsoNormal" style="text-align:center" align="center"><font size="6"><span style="font-family:verdana,sans-serif"></span></font></p><p class="MsoNormal" style="text-align:center" align="center"><font size="6"><span style="font-family:verdana,sans-serif"><b><span style="background:white none repeat scroll 0% 0%"></span></b></span></font></p><div style="text-align:center"><span style="font-family:verdana,sans-serif"><font size="6"><b><span>A </span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span>High-Order Perturbation of Surfaces Method for Electromagnetic Scattering by Periodic Multiply Layered Gratings</span></b></font><br></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span style="font-size:11pt"></span></b> </font></span></div><p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"> </span></p>

<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"><br></span></p><p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black">TIME:</span><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> </span><span style="font-size:13.5pt;font-family:"Verdana",sans-serif;color:black"> </span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">3<span style="color:black">:30PM</span></span></b></p>

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<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black">LOCATION:</span><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> <b> </b></span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">GMCS 314</span></b></p>

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<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black">SPEAKER/BIO:</span><span style="font-size:13.5pt;font-family:"Verdana",sans-serif;color:black">  </span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"></span></b></p><p class="MsoNormal" style="text-align:center" align="center"><font size="4"><span style="font-family:verdana,sans-serif"><b><span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"><span style="color:black"></span></span></b></span></b></span></font><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"></span></b><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">Youngjoon Hong, </span></b><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">Assistant Professor, </span></b><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">Department of Mathematics and Statistics, SDSU<br></span></b><font size="4"><span style="font-family:verdana,sans-serif"><b><span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"><span style="color:black"></span></span></b></span><span></span></b></span></font></p><p class="MsoNormal" style="text-align:center" align="center"><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"><br></span></b></p>

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<p class="MsoNormal"><span style="font-family:"Verdana",sans-serif;color:black"><br></span></p><p class="MsoNormal"><span style="font-family:"Verdana",sans-serif;color:black">ABSTRACT:</span></p>

<p><font size="4"><span style="font-family:verdana,sans-serif">The accurate simulation of scattering of electromagnetic waves in three 
dimensions by a diffraction grating is crucial in many applications of 
engineering and scientific interest. In this contribution we present a 
novel High-Order Perturbation of Surfaces method for the numerical 
approximation of vector electromagnetic scattering by a periodic layered
 medium. For this we apply the method of Transformed Field Expansions 
which delivers a Fourier collocation, Legendre-Galerkin, Boundary 
Perturbation approach to solve the problem in transformed coordinates. A
 sequence of numerical simulations demonstrate the efficient and robust 
spectral convergence which can be achieved with the proposed algorithm. </span></font></p>

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<h2><span style="font-size:11.0pt;font-family:"Verdana",sans-serif;color:black;font-weight:normal">HOST:</span><span style="font-family:"Verdana",sans-serif;color:#1f497d">  </span><font size="4"><span style="font-family:verdana,sans-serif">Jose Castillo<span class="m_-8363380334215463402HOEnZb"><font color="#888888"><br></font></span></span></font></h2></div></div></div></div></div><span class="m_-8363380334215463402HOEnZb"><font color="#888888">       </font></span></div></div><span class="m_-8363380334215463402HOEnZb"><font color="#888888">

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