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DESCRIPTION:In this talk\, the speaker proposes hybrid field integral equat
 ions (HFIEs) for describing the EM problems with penetrable media or lossy
  conductors and extends to augmented HFIEs (AHFIEs) for low-frequency anal
 ysis. The HFIEs consist of the EFIE of describing the exterior of the obje
 ct and the MFIE of describing its interior. Since the magnetic current den
 sity appears in the L operator in the HFIEs\, we select the magnetic charg
 e density as a new unknown function to be solved and introduce the continu
 ity equation of magnetic current density as an extra equation\, in additio
 n to selecting the electric charge density as a new unknown function to be
  solved and introducing the continuity equation of electric current densit
 y as an extra equation in the traditional augmentation. The technique can 
 be applied to the augmentation for all other integral equations including 
 the CFIEs\, PMCHWT equations\, Müller equations\, and VSIEs since the L o
 perator can act on both electric and magnetic current densities. The augme
 nted integral equations are solved by MoM where the RWG and Schaubert-Wilt
 on-Glisson (SWG) basis functions are used to represent the surface current
  densities of AHFIEs and volume current densities of VIEs\, respectively\,
  while a pulse basis function is employed to represent the charge densitie
 s of AHFIEs. The complicated DBF is not needed anymore because both the el
 ectric and magnetic current densities can be represented by the RWG basis 
 function in the SIEs and resultant system matrices can still be well-condi
 tioned. Numerical examples are presented to illustrate the approach and go
 od results have been obtained.\n\nDate: Nov 14\, 2021\n\nEvent Time:10:00 
 PM to 11:00 PM (EDT-NEW YORK TIME)\nPlease find below the Zoom meeting lin
 k:\n\nhttps://us02web.zoom.us/j/9514547039\nMeeting ID: 951 454 7039\nPass
 code: 201560\n\nCo-sponsored by: IEEE North Jersey Section\n\nSpeaker(s): 
 Prof. Meisong Tong\, \n\nAgenda: \nDate: Nov 14\, 2021\n\nEvent Time:10:00
  PM to 11:00 PM (EDT-NEW YORK TIME)\nPlease find below the Zoom meeting li
 nk:\n\nhttps://us02web.zoom.us/j/9514547039\nMeeting ID: 951 454 7039\nPas
 scode: 201560\n\nYou do not have to be an IEEE Member to attend.\n\nVirtua
 l \, Paterson\, New Jersey\, United States
LOCATION:Virtual \, Paterson\, New Jersey\, United States
ORGANIZER:akpoddar@ieee.org
SEQUENCE:7
SUMMARY:Augmentation of Integral Equations for Low-Frequency Analysis of El
 ectromagnetic Problems
URL;VALUE=URI:https://events.vtools.ieee.org/m/288244
X-ALT-DESC:Description: &lt;br /&gt;&lt;p&gt;In this talk\, the speaker proposes hybrid
  field integral equations (HFIEs) for describing the EM problems with pene
 trable media or lossy conductors and extends to augmented HFIEs (AHFIEs) f
 or low-frequency analysis. The HFIEs consist of the EFIE of describing the
  exterior of the object and the MFIE of describing its interior. Since the
  magnetic current density appears in the L operator in the HFIEs\, we sele
 ct the magnetic charge density as a new unknown function to be solved and 
 introduce the continuity equation of magnetic current density as an extra 
 equation\, in addition to selecting the electric charge density as a new u
 nknown function to be solved and introducing the continuity equation of el
 ectric current density as an extra equation in the traditional augmentatio
 n. The technique can be applied to the augmentation for all other integral
  equations including the CFIEs\, PMCHWT equations\, M&amp;uuml\;ller equations
 \, and VSIEs since the L operator can act on both electric and magnetic cu
 rrent densities. The augmented integral equations are solved by MoM where 
 the RWG and Schaubert-Wilton-Glisson (SWG) basis functions are used to rep
 resent the surface current densities of AHFIEs and volume current densitie
 s of VIEs\, respectively\, while a pulse basis function is employed to rep
 resent the charge densities of AHFIEs. The complicated DBF is not needed a
 nymore because both the electric and magnetic current densities can be rep
 resented by the RWG basis function in the SIEs and resultant system matric
 es can still be well-conditioned. Numerical examples are presented to illu
 strate the approach and good results have been obtained.&lt;/p&gt;\n&lt;div&gt;\n&lt;p&gt;&lt;s
 trong&gt;Date:&lt;/strong&gt; Nov 14\, 2021&lt;/p&gt;\n&lt;p&gt;&lt;strong&gt;Event Time&lt;/strong&gt;:10:
 00 PM to 11:00 PM (EDT-NEW YORK TIME)&lt;/p&gt;\n&lt;div dir=&quot;ltr&quot;&gt;Please find belo
 w the Zoom meeting link:&amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;\n&lt;div&gt;&lt;a href=&quot;https://us02we
 b.zoom.us/j/9514547039&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener noreferrer&quot;
  shape=&quot;rect&quot;&gt;https://us02web.zoom.us/j/9514547039&lt;/a&gt;&lt;/div&gt;\n&lt;div&gt;Meeting
  ID: 951 454 7039&lt;br clear=&quot;none&quot; /&gt;Passcode: 201560&lt;/div&gt;\n&lt;/div&gt;\n&lt;/div&gt;
 &lt;br /&gt;&lt;br /&gt;Agenda: &lt;br /&gt;&lt;p&gt;Date: Nov 14\, 2021&lt;/p&gt;\n&lt;p&gt;Event Time:10:00 
 PM to 11:00 PM (EDT-NEW YORK TIME)&lt;/p&gt;\n&lt;div dir=&quot;ltr&quot;&gt;Please find below t
 he Zoom meeting link:&amp;nbsp\;&lt;/div&gt;\n&lt;div&gt;\n&lt;div&gt;&lt;a href=&quot;https://us02web.z
 oom.us/j/9514547039&quot; target=&quot;_blank&quot; rel=&quot;nofollow noopener noreferrer&quot; sh
 ape=&quot;rect&quot;&gt;https://us02web.zoom.us/j/9514547039&lt;/a&gt;&lt;/div&gt;\n&lt;div&gt;Meeting ID
 : 951 454 7039&lt;br clear=&quot;none&quot; /&gt;Passcode: 201560&lt;/div&gt;\n&lt;/div&gt;\n&lt;div&gt;&amp;nbs
 p\;&lt;/div&gt;\n&lt;p&gt;You do not have to be an IEEE Member to attend.&amp;nbsp\;&lt;/p&gt;
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