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hey guys the subject of this video is going to be the iconal equation which is part of geometric optics in this video were gonna and the series of videos were gonna derive a set of differential equations that can be used to trace the path that light takes through a medium now if you havent heard of the iconal equations and maybe you have not heard of geometric optics but if you have had a physics course its pretty likely that youve heard about snells law and snells law is a good introduction for as to why we need something like the iconal equation now snells law describes a case where we have a light ray that is entering its entering the interface between two mediums the first medium where the speed of light is v1 and the second medium speed of light is different it has speed of v2 and so what snells law tells us is the relationship between the incident angle which we call theta one for the light ray coming in and the angle of the light ray coming out which we call theta two