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UID:news272@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20180716T231105
DTSTART;TZID=Europe/Zurich:20131115T110000
SUMMARY:Seminar in Numerical Analysis: Wim Vanroose (University of Antwerpe
 n)
DESCRIPTION:Many imaging systems such phase contrast tomography\, internal 
 reflection  microscopy or reaction microscopes measure the far or near fie
 ld of  the scattered wave. We present an efficient and scalable method to 
  calculate the far- and near field of a Helmholtz equation describing a  g
 iven object. The far and near field solution can be written as an  integra
 l of the Greens function multiplied by the solution of the  Helmholtz equa
 tion with absorbing boundary conditions. By deforming the  contour of the 
 integral we only require the numerical solution of the  Helmholtz equation
  along a complex valued contour.  We show that  Helmholtz equation along 
 this contour is equivalent to a complex  shifted Laplacian that can be sol
 ved efficiently by multigrid. This  results in an scalable method to calcu
 lated the far and near field  integral. We discuss this numerical method\,
  show its applicability\,  scalability and discuss its limitations.
X-ALT-DESC:Many imaging systems such phase contrast tomography\, internal r
 eflection  microscopy or reaction microscopes measure the far or near fiel
 d of  the scattered wave. We present an efficient and scalable method to  
 calculate the far- and near field of a Helmholtz equation describing a  gi
 ven object. The far and near field solution can be written as an  integral
  of the Greens function multiplied by the solution of the  Helmholtz equat
 ion with absorbing boundary conditions. By deforming the  contour of the i
 ntegral we only require the numerical solution of the  Helmholtz equation 
 along a complex valued contour.&nbsp\; We show that  Helmholtz equation al
 ong this contour is equivalent to a complex  shifted Laplacian that can be
  solved efficiently by multigrid. This  results in an scalable method to c
 alculated the far and near field  integral. We discuss this numerical meth
 od\, show its applicability\,  scalability and discuss its limitations. 
DTEND;TZID=Europe/Zurich:20131115T120000
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