Question

A beam antenna has half-power beam widths of 30° and 35° in perpendicular planes intersecting at the maximum of the main beam. Find its approximate maximum effective aperture in(2²) using

(a) Krau's and
(b) Tai and Pereira's formulas.

Answer 1

To find the maximum effective aperture of a beam antenna in two different ways: using Kraus' formula and Tai and Pereira's formula.

Step-by-step explanation:

To find the maximum effective aperture of a beam antenna using Kraus' formula, we can use the formula:

A = (1.64 * lambda^2) / (theta_h * theta_v)

Where lambda is the wavelength of the signal, and theta_h and theta_v are the half-power beam widths in the horizontal and vertical planes, respectively.

Using the given values of theta_h = 30° and theta_v = 35°, and assuming lambda = 2², we can substitute these values into the formula to find the maximum effective aperture.

For Tai and Pereira's formula, the formula to find the maximum effective aperture is:

A = 316 * lambda^2 / (theta_h * theta_v)

Using the same values, we can substitute them into the formula to find the maximum effective aperture.