Solving H_{s,\theta} and H_{i,\theta} Relationship on Planar Surface

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SUMMARY

The discussion focuses on the relationship between the scattered magnetic field H_{s,\theta} and the incident magnetic field H_{i,\theta} on a conducting planar surface under the tangential boundary condition. It establishes that for a plane wave illuminated scenario, the relationship can be derived from the given electric field equations E_{s} and E_{i}. The key takeaway is that the scattered magnetic field can be expressed in terms of the incident magnetic field using the established boundary conditions.

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Ameilucky
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Hi,
On a conducting planar surface, with a plane wave illuminated,(s for scattered field, i for incident field) in spherical coordinates under the tangential boundary condition that:
E_{s}(\theta,\phi)=-E_{i}\theta,\phi),
which is E_{s,\phi}(\theta,\phi)=-E_{i,\phi}(\theta,\phi) and
E_{s,\theta}(\theta,\phi)=-E_{i,\theta}(\theta,\phi)
then what is the relationship between
H_{s,\theta}(\theta,\phi) and H_{i,\theta}(\theta,\phi), respectively
H_{s,\theta}(\theta,\phi)and H_{i,\theta}(\theta,\phi)?

I need to figure out this urgently, many thanks!
 
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