Consider a narrow slot in an infinitely large electrically conducting plane placed in the xz-plane (Fig XXXXXXXXXXThe length of the slot is denoted by L and the width is denoted by 𝑤 with...

Consider a narrow slot in an infinitely large electrically conducting plane placed in the xz-plane (Fig. 3.31). The length of the slot is denoted by L and the width is denoted by 𝑤 with (𝑤 ≪ L). When a voltage is applied across the slot, it produces the following electric field across the slot:

First, use the equivalence principle to convert this problem into a free-space radiation problem for regions y > 0 and y <> 0 and y