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Find the Magnetic Field H(r) in All Space

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A loop with a current is located in the plane separating two media with magnetic permeability mu1 and mu2. Find the magnetic field H(r) in all space assuming that the magnetic field generated by the same loop with the same current in vacuum is known to an equal to H0(r).

Answer is H1=2*mu1*H0(r)/(mu1+mu2), H2= 2*mu1*H0(r)/(mu1+mu2).

However the question is its derivation - how to get that answer?

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The solution finds the magnetic field.

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