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Originally Posted by quantum quack
.....the propagation rate must be in excess of 'c' and reducing. [possibly intantaneous reducing as the wave penetrates]
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Quite right, the locus of points having a given phase is a circumference of increasing radius r, equal to the sine of an angle given by the ratio of distance to the surface over radius of the sphere. You can work it out for a circle and a line, in 2-D.