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Sounds like you're talking about the main lobe of a radio antenna.

It's kind of sloppy to say that the "max" extends across some width, since the "max"

only happens in one single, specific direction.

The "beam-width" is also often referred to as the "3dB beam-width". It's the angle between

the two points where the power is 3 dB less than the max ... one point on each side of the max.

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Q: The angle through which max power is genereated is called beam width?
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