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horn antenna radiation pattern cos(theta)^q approximation

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panou

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In reflector antenna, usually we use horn as the feed. It has been checked that the radiation patterns of the horn can be simulated as a function: \[\cos\]^q (\[\theta\]) .

The power q has been chosen at each frequency to fit the horn patterns.

I already have the radiation gain pattern of one horn, I am wondering how to approx it to \[\cos\]^q (\[\theta\]) ? By using 10*log10(\[\cos\]^q (\[\theta\]))? I want to know how to calculate the number of q.

Thanks so much!
Any discussion will be appreciated!


Regards,
Panou
 
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