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design of a lens-Horn-Antenna

design of a lens-Horn-Antenna

design of a lens-Horn-Antenna

I am going to design a conical lens-horn-antenna to have a focused planar wave. I have the following questions:
1) How can I design it best?
2) biconvex or plano-convex Lens?
3) Spherical or hyperbolical Lens?
4) Do I need implicitly a corregated horn or It could work with a smooth-walled conical horn too?
5) How much should the minimum Fresnel-Number be to ensure the working the Lens in the region of the geometrical optics practically?

can anyone help me?

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