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Permeable Side of Cavity Analysis: Hertz Potentials and Boundary Conditions

Explore cavity with permeable side using Hertz potentials. Includes conducting and permeable surfaces, focusing on z=c direction. Discussing boundary conditions with an alternate approach from Carlos Villarreal's paper.

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Permeable Side of Cavity Analysis: Hertz Potentials and Boundary Conditions

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  1. Cavity with one side permeable -------Zhonghai Liu

  2. Hertz Potential • For a rectangular cavity, it’s convient to single out one particular direction, say ,and choose the Hertz potentials as: • Then: • Correspondingly:

  3. Cavity with one side permeable • For conducting surface: • For permeable surface: • Without loss of generality, assume the permeable side is on z=c

  4. Finally we get the boundary conditions for • So

  5. Another approach (Carlos Villarreal’s paper)

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