H-Formulation
The full vectorial wave equation for H is given by:
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By substituting
into Equation 1 we get:

The term
is null.
We can separate Equation 2 into one for longitudinal terms and another one for transversal terms:

for longitudinal terms, and

By substituting
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into the first right hand term of Equation 4, we get:
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By substituting Equation 5 into the second right hand term of Equation 4, we get:

The third term of Equation 4 can be rewritten as:

By substituting Equation 5 into the second right hand term of Equation 4, we get:
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where
