A surface current density K(r S , t) flows in the z 0 plane which separates region 1 (z 0) from region 2 (z 0) Each region contains arbitrary, time dependent distributions of charge and current (a) For fields B(r, t) and E(r, t), use the theta function method of the text to derive a matching condition based on the Ampere Maxwell law (b) Explain how to adapt this result to an interface which is not flat V x B 1 E 22 at

Question: A surface current density K(r S , t) flows in the z = 0 plane which separates region 1 (z > 0) from region 2

A surface current density K(r_S, t) flows in the z = 0 plane which separates region 1 (z > 0) from region 2 (z

(a) For fields B(r, t) and E(r, t), use the theta function method of the text to derive a matching condition based on the Ampere-Maxwell law: V x B = + 1 E 22 at

(b) Explain how to adapt this result to an interface which is not flat.

V x B = + 1 E 22 at

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