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Tangential Magnetic Field Condition

The tangential magnetic field condition is a boundary condition given by

\[ \left. \tilde{\mathbf{H}} \times \mathbf{n} \right|_{\Gamma} = \tilde{\mathbf{H}}_\text{ext}, \]

where \(\tilde{\mathbf{H}}_\text{ext}\) is the user-defined complex external magnetic field imposed on the boundary \(\Gamma\).