Adventures of Ibn Battuta: Anatolia and Crimea

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Effect of Perfectly Matched Layers (PML) in FDTD Simulations

Although it is pretty straightforward for researchers in the field of modeling via FDTD or FEM, PML can puzzle those who do not have any modeling background. Therefore, here we try to simply show what happens with and without a PML in a free space propagation modeling.

Basically, we demonstrate the effects of the perfectly matched layers in finite-difference time-domain (FDTD) simulations. Here, a point source transmits a spherical wave and the simulation domain is truncated in two different ways. In the first case (left one) no PML region is utilized whereas in the second one (right) PML region is included. It is clearly observed that PML absorbs the incoming waves mimicking a infinite domain simulation whereas the simulation without PML, spurious reflections occur due to termination of the computational boundary.

A Tentative Map for Ibn Battuta's Travel in Black Africa and Andalusia

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This post is in draft version. It will hopefully be expanded later.


References:
1 - The Adventures of Ibn Battuta, Ross E. Dunn, University of California Press, Revised Edition, 2005, pp.277
2 - Ibn Battuta and his Saharan Travels