So here I got analytical surface flux density equation for a magnet on the pole surface, Bx(x,y) and By(x,y) at any point on the surface of the pole.

Now I wanted to calculate Bx(x,y) and By(x,y) running parallel to the direction of magnetization out the magnet i.e., from north pole to south pole

Is there an empirical formula for the same and how can I do the same with Magnetic Scalar potential equation and Magnetic Vector Potential Equation

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