In
electromagnetics, directivity is a figure of merit for an
antenna. It measures the power density an actual antenna radiates in the direction of its strongest emission, relative to the power density radiated by an ideal
isotropic radiator antenna radiating the same amount of total
power. Mathematically, the directivity is defined as the maximum of the
directive gain: where and are the standard
spherical coordinates anglesRadiated power density is the power per unit
solid angle such that is the total solid angle for a sphere (also the surface area of a unit sphere, similar to being the total angle for a circle and a the perimeter of a unit circle).The denominator, , represents the average radiated power density
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