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The far-field pattern of an antenna can be modeled as the two dimensional Fourier Transform of the aperture.
1. Determine the 2D Fourier Transform for the function
This will require two transformations from rectangular coordinates, one in the spatial domain and one in the frequency domain. There are two key transformations. Explain.
Hint: This problem involves Bessel functions of the first kind of orders zero and one.
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1. Determine V(r,Φ) inside the tube.
2. Provide a detailed discussion supporting your analysis of the boundary conditions
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