Extension to the Fokas method for diffraction grating problems

Add to your list(s) Download to your calendar using vCal

• Shiza Naqvi
• Thursday 26 January 2023, 14:00-15:00
• MR14.

If you have a question about this talk, please contact Shiza Naqvi.

Traditional periodic PDE formulations for infinite diffraction gratings are studied using the Wiener—Hopf technique or Green’s function representations. The limitations present in both methods restrict consideration to specific types of gratings if computable solutions are desired. This talk presents an extension to the Fokas method (also known as the Unified Transform method) to periodic domains – then numerically computable by a spectral collocation method. The resulting global relation for the periodic problem features an extra term to accompany what is otherwise the global relation for the unit cell in free space. Links to the periodic Wiener—Hopf method are also discussed.

This talk is part of the Waves Group (DAMTP) series.

This talk is included in these lists:

• MR14
• Waves Group (DAMTP)

Note that ex-directory lists are not shown.