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alternative grids so this is going to be a relatively short video iamp;#39;m not going to spend a whole lot of time going into deep detail about these i just want you generally aware of the drawbacks of the standard d grid scheme and what some of your options are and you can follow the references in the notes or do your own literature search to learn more about these different grid schemes drawbacks of the standard yi grid well one that weamp;#39;ve already sort of alluded to is this idea of numerical dispersion a wave traveling through a yi grid travels slightly slower than a physical wave would and we can see this is particularly bad for waves traveling along the cartesian axis so these lines are a map of the refractive index as a function of direction so in air for example a physical wave would follow ing to this blue line which is a perfect circle meaning every all directions see the same refractive index thatamp;#39;s not the case for a wave on a yi grid so what we see is that