Is there any mathematical equation relating conical horn height,thickness of the cone, top and bottom radius of the cone with the frequency, if so could anyone suggest me where can i get it.
This is a good question with many possible answers.
A good introduction to conical and other types of horn design is given in
http://www.ijetae.com/files/Volume4Issue5/IJETAE_0514_107.pdf
An informal description of conical horn antenna design is given in great detail in
http://www.ijsr.net/archive/v3i7/MjAwNzE0MDU%3D.pdf
A very detailed approach to construct a formula for a conical horn antenna as well a pyramidal horn antenna is given in
http://www.zmuda.ece.ufl.edu/Fields_2_Spring_2013/Aperture_Antennas.pdf
More to the point, a complete analysis of conical horn antennas is given in
Mairead Bevan, Electromagnetic Analysis of Horn Antennas in the Terahertz region:
http://eprints.maynoothuniversity.ie/4486/1/MaireadBevan_MScThesis.pdf
See chapter 3, starting on page 49, for the formulas.
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