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SUMMARY: Extension to the Fokas method for diffraction grating problems  -
  Shiza Naqvi
DTSTART:20230126T140000Z
DTEND:20230126T150000Z
UID:TALK196486@talks.cam.ac.uk
CONTACT:Shiza Naqvi
DESCRIPTION:Traditional periodic PDE formulations for infinite diffraction
  gratings are studied using the Wiener—Hopf technique or Green’s funct
 ion representations. The limitations present in both methods restrict cons
 ideration to specific types of gratings if computable solutions are desire
 d. This talk presents an extension to the Fokas method (also known as the 
 Unified Transform method) to periodic domains – then numerically computa
 ble by a spectral collocation method. The resulting global relation for th
 e periodic problem features an extra term to accompany what is otherwise t
 he global relation for the unit cell in free space. Links to the periodic 
 Wiener—Hopf method are also discussed. 
LOCATION:MR14
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